Control tasks. Solution of typical tasks Products manufactured in the reporting period, thousand pieces

Example 1. There is the following data on the implementation of fruits in the region:

Name of product

July

August

Settlement columns, thousand rubles

Price for 1 kg., Rub.p 0

Sold, t.

q 0

Price for 1 kg., Rub.p 1

Sold, t.

q 1

p 0 q 0

R 1 q 1

p 0 q 1

Total:

Calculate the composite indices of turnover, volume and prices. Change in turnover in general and as a result of changes in individual factors.

Turnover index:

Volume index of trade turnover:

Price index:

Thus, the turnover in August decreased by 3.1% or 20 thousand rubles. Due to the growth in sales by an average of 8.6%, the turnover increased by 55 thousand rubles. Due to the decrease in prices by an average of 10.8%, the turnover decreased by 75 thousand rubles.

Example 2. The average cost of product A across the aggregate of companies decreased by 2.8%. At the same time, the cost of product A in individual companies decreased by an average of 4.1%. Show the relationship of values ​​and explain the economic meaning of the indicators.

The variable composition index is 0.972. Fixed composition index 0.959. Let's define the index of structural changes:

If the index of structural changes is greater than 1, then the share of companies with the most costly production of product A increases. This explains the decrease in the average cost of product A by only 2.8%, and not 4.1%.

8.1. The following data are available on coal prices and volumes of its production in the Russian Federation in the second quarter of 1996:

Subject to 100% sales of coal in each month define chain and basic individual price indices, physical volume of sales and turnover. Check the relationship between chain and base indexes.

8.2. There is the following data on the sale of meat products in the city market:

Product

September

October

Price for 1 kg, rub.

Sold, c.

Price for 1 kg, rub.

Sold, c.

Beef

Mutton

Calculate consolidated indices of prices, physical volume of sales and turnover, as well as the amount of cost overruns by buyers from price increases.

8.3. Determine the change in the physical volume of sales of consumer goods by retail enterprises of the city in the current period compared to the previous one, if the turnover increased by 42.3%, and prices increased by 13.7%.

8.4. The turnover in the 1st, 2nd and 3rd sections of the store last year amounted to 16, 18 and 20 million rubles, respectively. Determine the general index of the physical volume of the store's turnover in the reporting year, if it is known that the turnover in constant prices increased in 1 section by 20%, in 2 - by 16% and in 3 - by 12%.

8.5. In the reporting year, leather footwear was sold for 50 million rubles, rubber - for 20 million rubles, and combined - for 10 million rubles. Calculate the general price index for footwear, if it is known that prices have been reduced for leather footwear by 3%, for rubber footwear - by 15%, and for combined footwear - by 20%.

8.6. There is the following data on the cost price and production volumes of an industrial enterprise:

Product

thousand roubles

Produced, thousand pieces

Unit cost,

thousand roubles

Produced, thousand pieces

Define: a) individual and consolidated cost indices; b) the composite index of the physical volume of production; c) the consolidated index of production costs. Show the relationship of composite indices.

8.7. There is the following data on the sale of dairy products in the city market:

Calculate consolidated price indices (using two types of formulas), turnover and physical volume of sales.

8.8. The following data are known for the building plastics plant:

Make a summary estimate of the increase in production (in kind).

8.9. The average price in the reporting period increased by 3.8%. The average price change for all forms of sales was + 5.4%. Define, a change in the average price due to a change in the quantitative factor.

8.10. The return on assets index of the variable composition was 1.026, and the fixed composition was 0.94. Show the relationship of the indices and explain their economic meaning.

8.11. There is the following data on the sale of potatoes in the city's markets:

Market

January

February

Price for 1 kg, rub

Sold, c.

Price for 1 kg, rub.

Sold, c.

Calculate: a) price index of variable composition; b) price index of fixed composition; c) the index of structural changes.

8.12. The construction and production activities of the two DSCs of the city are characterized by the following data:

Calculate indexes of the prime cost of variable and fixed compositions, as well as the index of structural breaks. Explain the calculation results.

8.13. There is the following data on the labor intensity of the enterprise's products and the volume of its production:

Calculate: a) labor productivity index; b) index of the physical volume of products; c) the index of labor costs.

8.14 ... The following data is known for an industrial enterprise for two years:

Product type

Produced, thousand pieces

Average number of workers, people

Wholesale price 1996, thousand rubles

Define: a) index of the physical volume of products; b) labor productivity index; c) the index of labor costs.

8.15. The level of market prices for dairy products and the volume of their sales in two cities are characterized by the following data.

Calculate the territorial price index of city A in relation to city B using various formulas.

8.16. The following data is available:

Product type

The number of manufactured products, t.

Cost of 1 ton, thousand rubles

Based on the given data define:

    Individual and general cost price indices;

    Individual and general indices of the physical volume of products;

    Product cost index.

Show the relationship of the calculated indices. Draw conclusions.

8.17. How have prices changed if the physical volume of trade increased by 12%, and trade in actual prices increased by 9%?

8.18 ... How has the turnover changed in actual prices, if prices were reduced by 5%, and the physical volume of turnover increased by 10%?

8.19. How has the unit cost changed, if the index of the physical volume of production was 1.22, and the cost of production costs increased by 15%.

8.20. What is the value index if the cost of production costs increased by 5%, and the physical volume of production - by 8%.

8.21. The physical volume of products increased by 8%, and the volume labor costs increased by 4%. How labor productivity has changed.

8.22. How has labor productivity changed if, with the same volume of labor costs, products were produced by 10% more?

8.23. We have the following sales data for washing machines:

Define average change in prices for washing machines and savings (cost overruns) of buyers from price changes.

8.24. The following data are available on the indices of state retail prices for 8 groups of goods (in% to the average annual prices of 1950):

p / p

Product groups

Meat and poultry

Fish and herring

Animal oil

Vegetable oil

Confectionery

Potato

Define price indices in %% to 1990, 1995 and 2000; using the given data, calculate the average annual price in 2000, 2001, 2002 and 1980: 1) for meat and poultry, if in 2002 the average annual price for them was 80 rubles. for 1 kg; 2) for fish and herring, 95 rubles; 3) for animal oil - 105 rubles; 4) for vegetable oil - 82 rubles.

8.25. The following data are available on the prices and quantity of goods sold on the collective farm market in city A:

Product

Sales

Average annual price, rub.

Milk, thousand liters

Potatoes, t.

Eggs, tens of thousands

Calculate

8.26. The following data are available on the prices and quantity of goods sold on the city's collective farm market:

Product

Sold, thousand units

Average annual price, rub.

Calculate price indices: 1) 2002 to 2001; 2) 2003 to 2002; 3) 2003 to 2001. Explain the discrepancy between the product of the first two indices and the 2003 to 2001 index. Calculate the amount of population savings from price reductions in 2002 and 2003.

8.27. There is the following data on the cost of goods manufactured at the plant:

Product

Products manufactured in the reporting period, thousand units

base period

reporting period

Calculate group aggregate prime cost index: 1) products A and B; 2) B and C; 3) C and D; 4) G and D.

8.28.

Define variable composition prime cost index; cost index of a permanent composition; index of structural breaks. Draw conclusions.

8.29. The following data on the confectionery factory is available:

Types of products

Products manufactured, thousand units

Price of 1 thousand pieces, thousand rubles

Define variable price index; permanent composition; index of structural breaks. Draw conclusions.

8.30. The following data is available:

Define general index of the physical volume of production. Using the relationship of the indices, determine how much the prices for manufactured products have changed, if it is known that the cost of products in the reporting period increased by 12%.

8.31. The following data is available for the confectionery factory:

Company

Average monthly wages per employee, thousand rubles

Average number of employees, people

base period

reporting period

base period

reporting period

Define: index of the monthly average wages variable composition; the index of the average monthly salary of the permanent staff; index of structural breaks. Draw conclusions.

8.32. There is data on coal production and the average number of workers at two mines in January and February:

Define labor productivity indices of variable composition, fixed composition and index of structural changes.

8.33. For two factories, there is data on the volume of production and unit cost of four types of products:

Product

Plant No. 1

Plant number 2

Unit cost, kopecks

products manufactured, thousand units

cost of production units, cop.

products manufactured, thousand units

Base period

Reporting period

Base period

Reporting period

Base period

Report- period

Basis- period

Report- period

Define indices of the average cost of variable composition, indices of the cost of constant composition and structural changes: 1) for product 1; 2) for product 2; 3) for product 3; 4) by product 4.

8.34. The following shop data is available:

Define the index of labor productivity of shop workers in two ways.

8.35. There is the following data on the consumption of materials for the manufacture of the product AO-6624 (in fact, 500 items were manufactured)

Define the index of the specific consumption of materials and the total amount of savings from reducing the specific consumption of materials in comparison with the planned standards.

Example 1. There is the following data on the implementation of fruits in the region:

Name of product

July

August

Settlement columns, thousand rubles

Price for 1 kg., Rub.p 0

Sold, t.

q 0

Price for 1 kg., Rub.p 1

Sold, t.

q 1

p 0 q 0

R 1 q 1

p 0 q 1

Total:

Calculate the composite indices of turnover, volume and prices. Change in turnover in general and as a result of changes in individual factors.

Turnover index:

Volume index of trade turnover:

Price index:

Thus, the turnover in August decreased by 3.1% or 20 thousand rubles. Due to the growth in sales by an average of 8.6%, the turnover increased by 55 thousand rubles. Due to the decrease in prices by an average of 10.8%, the turnover decreased by 75 thousand rubles.

Example 2. The average cost of product A across the aggregate of companies decreased by 2.8%. At the same time, the cost of product A in individual companies decreased by an average of 4.1%. Show the relationship of values ​​and explain the economic meaning of the indicators.

The variable composition index is 0.972. Fixed composition index 0.959. Let's define the index of structural changes:

If the index of structural changes is greater than 1, then the share of companies with the most costly production of product A increases. This explains the decrease in the average cost of product A by only 2.8%, and not 4.1%.

8.1. There is the following data on coal prices and volumes of its production in the Russian Federation in the second quarter:

Subject to 100% sales of coal in each month define chain and basic individual price indices, physical volume of sales and turnover. Check the relationship between chain and base indexes.

8.2. There is the following data on the sale of meat products in the city market:

Product

September

October

Price for 1 kg, rub.

Sold, c.

Price for 1 kg, rub.

Sold, c.

Beef

Mutton

Calculate consolidated indices of prices, physical volume of sales and turnover, as well as the amount of cost overruns by buyers from price increases.

8.3. Determine the change in the physical volume of sales of consumer goods by retail enterprises of the city in the current period compared to the previous one, if the turnover increased by 42.3%, and prices increased by 13.7%.

8.4. The turnover in the 1st, 2nd and 3rd sections of the store last year amounted to 16, 18 and 20 million rubles, respectively. Determine the general index of the physical volume of the store's turnover in the reporting year, if it is known that the turnover in constant prices increased in 1 section by 20%, in 2 - by 16% and in 3 - by 12%.

8.5. In the reporting year, leather footwear was sold for 50 million rubles, rubber - for 20 million rubles, and combined - for 10 million rubles. Calculate the general price index for footwear, if it is known that prices have been reduced for leather footwear by 3%, for rubber footwear - by 15%, and for combined footwear - by 20%.

8.6. There is the following data on the cost price and production volumes of an industrial enterprise:

Product

thousand roubles

Produced, thousand pieces

Unit cost,

thousand roubles

Produced, thousand pieces

Define: a) individual and consolidated cost indices; b) the composite index of the physical volume of production; c) the consolidated index of production costs. Show the relationship of composite indices.

8.7. There is the following data on the sale of dairy products in the city market:

Calculate consolidated price indices (using two types of formulas), turnover and physical volume of sales.

8.8. The following data are known for the building plastics plant:

Make a summary estimate of the increase in production (in kind).

8.9. The average price in the reporting period increased by 3.8%. The average price change for all forms of sales was + 5.4%. Define, a change in the average price due to a change in the quantitative factor.

8.10. The return on assets index of the variable composition was 1.026, and the fixed composition was 0.94. Show the relationship of the indices and explain their economic meaning.

8.11. There is the following data on the sale of potatoes in the city's markets:

Market

January

February

Price for 1 kg, rub

Sold, c.

Price for 1 kg, rub.

Sold, c.

Calculate: a) price index of variable composition; b) price index of fixed composition; c) the index of structural changes.

8.12. The construction and production activities of the two DSCs of the city are characterized by the following data:

Calculate indexes of the prime cost of variable and fixed compositions, as well as the index of structural breaks. Explain the calculation results.

8.13. There is the following data on the labor intensity of the enterprise's products and the volume of its production:

Calculate: a) labor productivity index; b) index of the physical volume of products; c) the index of labor costs.

8.14 ... The following data is known for an industrial enterprise for two years:

Product type

Produced, thousand pieces

Average number of workers, people

Wholesale price 1996, thousand rubles

Define: a) index of the physical volume of products; b) labor productivity index; c) the index of labor costs.

8.15. The level of market prices for dairy products and the volume of their sales in two cities are characterized by the following data.

Product

Cities

City B

Price for 1 kg, rub.

Sold, t.

Price for 1 kg, rub.

Sold, t.

Calculate the territorial price index of city A in relation to city B using various formulas.

8.16. The following data is available:

Product type

The number of manufactured products, t.

Cost of 1 ton, thousand rubles

Based on the given data define:

    Individual and general cost price indices;

    Individual and general indices of the physical volume of products;

    Product cost index.

Show the relationship of the calculated indices. Draw conclusions.

8.17. How have prices changed if the physical volume of trade increased by 12%, and trade in actual prices increased by 9%?

8.18 ... How has the turnover changed in actual prices, if prices were reduced by 5%, and the physical volume of turnover increased by 10%?

8.19. How has the unit cost changed, if the index of the physical volume of production was 1.22, and the cost of production costs increased by 15%.

8.20. What is the value index if the cost of production costs increased by 5%, and the physical volume of production - by 8%.

8.21. The physical volume of production increased by 8%, and the volume of labor costs increased by 4%. How labor productivity has changed.

8.22. How has labor productivity changed if, with the same volume of labor costs, products were produced by 10% more?

8.23. We have the following sales data for washing machines:

Define average change in prices for washing machines and savings (cost overruns) of buyers from price changes.

8.24. The following data are available on the indices of state retail prices for 8 groups of goods (in% to the average annual prices of 1950):

p / p

Product groups

Meat and poultry

Fish and herring

Animal oil

Vegetable oil

Confectionery

Potato

Define price indices in %% to 1990, 1995 and 2000; using the given data, calculate the average annual price in 2000, 2001, 2002 and 1980: 1) for meat and poultry, if in 2002 the average annual price for them was 80 rubles. for 1 kg; 2) for fish and herring, 95 rubles; 3) for animal oil - 105 rubles; 4) for vegetable oil - 82 rubles.

8.25. The following data are available on the prices and quantity of goods sold on the collective farm market in city A:

Product

Sales

Average annual price, rub.

Milk, thousand liters

Potatoes, t.

Eggs, tens of thousands

Calculate

8.26. The following data are available on the prices and quantity of goods sold on the city's collective farm market:

Product

Sold, thousand units

Average annual price, rub.

Calculate price indices: 1) 2002 to 2001; 2) 2003 to 2002; 3) 2003 to 2001. Explain the discrepancy between the product of the first two indices and the 2003 to 2001 index. Calculate the amount of population savings from price reductions in 2002 and 2003.

8.27. There is the following data on the cost of goods manufactured at the plant:

Product

Products manufactured in the reporting period, thousand units

base period

reporting period

Calculate group aggregate prime cost index: 1) products A and B; 2) B and C; 3) C and D; 4) G and D.

8.28.

Define variable composition prime cost index; cost index of a permanent composition; index of structural breaks. Draw conclusions.

8.29. The following data on the confectionery factory is available:

Types of products

Products manufactured, thousand units

Price of 1 thousand pieces, thousand rubles

Define variable price index; permanent composition; index of structural breaks. Draw conclusions.

8.30. The following data is available:

Define general index of the physical volume of production. Using the relationship of the indices, determine how much the prices for manufactured products have changed, if it is known that the cost of products in the reporting period increased by 12%.

8.31. The following data is available for the confectionery factory:

Company

Average monthly wages per employee, thousand rubles

Average number of employees, people

base period

reporting period

base period

reporting period

Define: index of average monthly wages of variable composition; the index of the average monthly salary of the permanent staff; index of structural breaks. Draw conclusions.

8.32. There is data on coal production and the average number of workers at two mines in January and February:

Define labor productivity indices of variable composition, fixed composition and index of structural changes.

8.33. For two factories, there is data on the volume of production and unit cost of four types of products:

Product

Plant No. 1

Plant number 2

Unit cost, kopecks

products manufactured, thousand units

cost of production units, cop.

products manufactured, thousand units

Base period

Reporting period

Base period

Reporting period

Base period

Report- period

Basis- period

Report- period

Define indices of the average cost of variable composition, indices of the cost of constant composition and structural changes: 1) for product 1; 2) for product 2; 3) for product 3; 4) by product 4.

8.34. The following shop data is available:

Define the index of labor productivity of shop workers in two ways.

8.35. There is the following data on the consumption of materials for the manufacture of the product AO-6624 (in fact, 500 items were manufactured)

Define the index of the specific consumption of materials and the total amount of savings from reducing the specific consumption of materials in comparison with the planned standards.

  • 1. Determine the change in the physical volume of sales of consumer goods by retail enterprises of the city in the current period compared to the baseline, if the turnover increased by 42.3%, and prices increased by 13.7%.
  • 2. The volume of sales of vegetables in the city's markets in kind in October compared to September increased by 18.6%, while the price index for vegetable products amounted to 92.4%. How did the trade turnover change?
  • 3. In the reporting period, the physical volume of comparable products increased by 5%, and the volume products sold increased by 10%. Determine the change in the average unit price.
  • 4. In the reporting period production costs increased by 12%, unit cost decreased by an average of 6%. Determine the index of the physical volume of products.
  • 5. The following data are available on coal prices and production volumes:

Determine the individual and general indices of prices, production volumes and turnover, as well as the absolute growth in turnover due to changes in prices, production volumes and the joint action of both factors. Show the relationship between general indices, absolute growth in turnover.

6. There is the following data on the sale of meat products in the city market:

Determine the individual and general indices of prices, physical volume of sales and turnover, as well as the amount of cost overruns by buyers from price increases.

7. There is the following data on the sale of fruits in the city market:

Determine the general indices of prices, physical volume of sales and turnover, as well as the absolute value of the savings of buyers from lower prices.

8. There is the following data on the cost price and production volumes of the products of an industrial enterprise:

Define:

  • 1) individual cost indices;
  • 2) general indices of cost price, physical volume of goods turnover;
  • 3) the general index of production costs.

Show the relationship of common indices.

9. Based on the available data, determine the index of the cost of production of enterprise A in comparison with enterprise B, calculating the total volume of production.

Product

Enterprise A

Enterprise B

Cost price, rub.

Produced, thousand pieces

Cost price, rub.

Produced, thousand pieces

11. Labor costs and labor productivity at a furniture enterprise are characterized by the following data:

Determine the indices of labor productivity and physical volume of production.

12. Using the following data, determine the average change in the cost of production for the enterprise:

Products

Change in cost in the reporting period compared to the baseline

Produced in the reporting period, thousand units

13. There is data on the labor intensity of manufacturing a unit of production and specific gravity labor costs. Determine the general index of labor productivity.

Determine the general price index.

15. There is the following data on the sale of dairy products in the city market:

Determine the consolidated indices of prices, turnover and physical volume of turnover.

16. There is the following data on the supply of dairy products to Russia by importing countries:

Determine the indices of average export prices of variable, constant composition and structural breaks.

17. There are data on the physical volume and price of homogeneous products of two industrial enterprises in the base and reporting periods:

Enterprise

rationing

Number of manufactured products, thousand pieces

Unit price, rub.

Basic

period

Reporting

period

Basic

period

Reporting

period

Determine individual price indices, price indices of constant, variable composition and structural breaks.

18. The construction activities of the two enterprises are characterized by the following data:

Determine the indices of the cost of constant, variable composition and structural changes. Draw conclusions.

19. The following data are available:

Determine the indices of wages of constant, variable composition and structural changes. Draw conclusions.

20. Rising prices for foodstuffs in the first half of 2015 in Russia as a whole is characterized by the following data:

Determine the overall change in prices for the entire period under consideration.

And at railways it is better to keep the gig.

Kozma Prutkov. The fruits of thought

Sale of goods

Determine the average price change by product group.

To determine the average price change, the formula for the harmonic average index is used:

Or 101.8%.

Consequently, prices for this commodity group in 2202 in comparison with 2001 increased on average by 1.8%.

When calculating the general index of the physical volume of production (), you can use the arithmetic mean. In this case, the replacement is made in the numerator:

q 1 = i q q 0 .

Then the index will take the form:

Example 7. The plant has data on production:

Table 6.6

Product type Production output in Q1, thousand rubles () Change in production output in Q2 compared to Q1,% Calculation graphs
A +3 1,030
B -2,5 0,975
V +1,2 1,012
Total - -

Determine by what percentage the output of the enterprise has increased.

To determine the change in the physical volume of production as a whole for the enterprise, the formula of the weighted average arithmetic index is used, since according to the condition of the problem, individual indices of the physical volume of production are known:

Consequently, the physical volume of production as a whole for the enterprise increased by 0.9%.

Calculations using index systems of missing indexes. Many economic indices are closely related to each other and form index systems. Thus, the price index is related to the index of the physical volume of trade (if we are talking about retail prices) or the physical volume of products (if we are talking about the selling prices of the enterprise), forming the following index system:

Or I p. I q = I pq.

The product of the price index by the index of the physical volume of commodity turnover or production gives the index of the physical volume of commodity turnover in actual prices, or the index of the cost of production.

The production cost index is related to the index of the physical volume of production, forming the following index system:

Or I z. I q = I zq.

The product of the production cost index by the volume index gives the production cost index.

The labor productivity index (in terms of labor costs) is related to the index of the physical volume of production (in terms of labor costs), forming an index system:



Or I q: I T = I t.

The ratio of the index of the physical volume of production to the index of labor costs is equal to the index of labor productivity.

Example 8. It is known that the physical volume of comparable products for the plant increased by 15% in the reporting period, while production costs increased by 12%. It is required to determine how the unit cost has changed.

I z. I q = I zq,

I z:

The unit cost fell 2.6%.

Example 9... It is known that the physical volume of production increased by 10%, while the volume of labor costs increased by 5%. It is required to determine how labor productivity has changed.

Using the relationship of indices

I q: I T = I t ,

calculate the missing indicator I t:

I t= 1.10: 1.05 = 1.048 or 104.8%.

Labor productivity increased by 4.8%.

Example 10. The retail trade turnover of the enterprises of Severodvinsk in 1998 amounted to 1278.7 million rubles, in 1999 - 2076.3 million rubles, the index of the physical volume of the retail trade turnover in 1999, in% of the previous year, amounted to 91%. It is required to determine how prices have changed in 1999 compared to 1998.

Let's define the index of turnover in 1999:

or 162.4%.

Using the index relationship:

I p. I q = I pq,

Let's calculate the missing indicator I p:

Or 178.5%.

Prices in 1999 compared to the previous year in retail grew by 78.5%.

Indices of average values: constant, variable composition and structural changes. All the indices discussed above were calculated for several goods sold in one place, or types of products produced at one enterprise. Consider cases when one product is sold in several places or one type of product is produced at a number of enterprises.

If only one type of product is sold, it is quite legitimate to calculate its average price in each period, Variable composition index is the ratio of two averages obtained:

This index characterizes not only the change in individual prices at points of sale, but also the change in the structure of sales by retail or wholesale trade, markets, cities and regions. To assess the impact of this factor, the structural change index:

The last in this system is fixed price index which ignores the structure change:

There is a relationship between the indices:

Example 11. There is data on the sale of goods A in the city's markets (Table 6.7).

Below are the conditions and solutions to the problems. Solution upload in format doc starts automatically after 10 seconds.

Objective 2.

For the enterprise, the plan for the reporting year provided for uve- increase in product release"A" by 10%, products "B" - by 8%, products "C" - by 5% compared to the previous year. Actual production from- item "A" in the reporting year was 1.2 times more, item "B" by 2%, item "C" 2 times more than in the previous year. Determine the indicators of the degree of fulfillment- neniya plan for the release of products "A", "B", "C".

Solution.

Let us determine the degree of plan fulfillment for each product by dividing the dynamics index by the plan target index.

For product A: 1.2 / 1.1 = 1.0909 or 109.09%.

For product B: 1.02 / 1.08 = 0.9444 or 94.44%.

For product B: 2 / 1.05 = 1.9048 or 190.48%.

In the reporting period, compared to the baseline period, the plan for the manufacture of items A was overfulfilled by 9.09%, - items B were underfulfilled by 5.56%, - items C were overfulfilled by 90.48%.

Task 6.

The following data is available on commission trade turnover

Product group

Trade turnover, billion rubles

Changes in prices in the II quarter. in comparison with the 1st quarter,%

I quarter.

II quarter.

Vegetables

15,4

40,2

Meat

24,5

18,5

Milk

10,4

14,5

Based on these data, calculate: 1) the general price index; 2) the general index of turnover in actual prices; 3) the general index of turnover is not- change prices; 4) changes in household expenditures as a result of price changes.

Solution.

From the task data it is clear that we only have a turnover(- in the base period,- in the reporting period and changeprice change for each product,those. individual price indices), but there is no product quantity and product price. In order toto find the general index of turnover, we have enough data from the condition of the problem:

I pq = or 145.5%

V the reporting period compared to the base period, the turnover increased by 45.5%.

D In order to calculate the general price index, we introduce the formula:

= we get the average harmonic index.

- individual price index. In the problem statement, we are given a change in prices for each product:

for vegetables - = 1.12; for meat - = 1.1; for milk - = 1.1.

AND The price index is calculated using the harmonic average index:= or 111.1%

WITH let's leave equality:

where or 131%

In the reporting period, compared with the base period, the turnover in constant prices increased by31%. Due to the change in prices, the increase in trade turnover amounted to 11.1%.

Let's define the increase in the costs of the population caused by the rise in prices:

73.2 - 65.893 = 7.307 billion rubles.

A absolute increase in turnoverin the reporting period compared to the base perioddue to price changesamounted to 7.307 billion rubles.

Task 7.

For the base and reporting periods, the enterprise produced products worth 20 and 22 billion rubles, respectively. (at current prices). Into the report- In the same period, prices for products were increased by an average of 15%. Define- pouring: a) change in the physical volume of products; b) change in the cost of products (in absolute terms) due to changes in the physical volume of products and changes in prices.

Solution.

Let's define the index of the cost of production:

I pq = p 1 q 1 / p 0 q 0 = 22/20 = 1.1.

Volume index of products:

I q = I pq / I p = 1.1 / 1.15 = 0.9565.

Where I p - product price index, I q - index of the physical volume of production.

The absolute change in the cost of production:

∆ pq = p 1 q 1 - p 0 q 0 = 2 2 - 2 0 = 2 billion rubles.

In the reporting period compared to the base period, there was cost products by 10% or - by 2billion rubles (in absolute terms).

Absolute change in value due to changes in the physical volume of products:

∆ pq (q) = p 0 q 0 ∙ (I q - 1) = 20 ∙ (0.9 565 -1) = - 0.87 billion rubles.

Absolute changes in the cost of products due to changes in product prices:

∆ pq (p) = p 0 q 0 ∙ I q ∙ (I p - 1) = 20 ∙ 0.9 565 ∙ (1.15 - 1) = 2.87 ppm. R.

In the reporting period, compared with the base period, the cost of production due toprice changes increased by 2.87billion rubles, and due to the change in physicalvolume decreased by 0.8 7 billion rubles

 

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