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Optimal Pricing for an Aggregate Demand Curve The table below shows the hypothet

ID: 1213950 • Letter: O

Question

Optimal Pricing for an Aggregate Demand Curve

The table below shows the hypothetical prices and quantities demanded of a software product. Assume that the fixed cost of setting up the production of software is $200 and the marginal cost is $5.

A. Fill out the table by calculating the revenue, the marginal revenue, the marginal cost, and the profit.

B. Give a general definition of price elasticity of demand. Explain the factors that make the demand of the product more elastic.

C. Calculate the own price elasticity of increasing the price from $0 to $5, from $5 to $10, etc., from $35 to $40. In which price region is the demand for the product elastic and in which region is it inelastic?

D. Conduct a stay even analysis by calculating the critical loss from increasing the price from $30 to $35. How much business can the software company afford to lose by increasing the price in order to maintain its profit?

Solution: Please show all work.

Price ($)

Quantity sold

Revenue

MR

MC

Profit

Elasticity

40

0

35

10

30

20

25

30

20

40

15

50

10

60

5

70

0

80

Price ($)

Quantity sold

Revenue

MR

MC

Profit

Elasticity

40

0

35

10

30

20

25

30

20

40

15

50

10

60

5

70

0

80

Explanation / Answer

DEGREE OF RESPONSIVENESS OF QUANITITY DEMANDED TO A CHANGE IN PRICES IS CALLED PRICE OF ELASTICITY OF DEMAND.


Factors affecting price elasticity of demand
The number of close substitutes
The cost of switching between products
The degree of necessity or whether the good is a luxury
The proportion of a consumer's income allocated to spending on the good
The time period allowed following a price change
Whether the good is subject to habitual consumption
Peak and off-peak demand
The breadth of definition of a good or service

Price ($) Quantity sold Revenue MR MC Profit Elasticity TC % CHANGE IN DEMAND % CHHANGE IN PRICE 40 0 0 200 35 10 350 350 50 -100 250 30 20 600 250 100 -250 -0.14 350 -100 14.28571 25 30 750 150 150 -250 -0.33 500 -50 16.66667 20 40 800 50 200 -100 -0.6 700 -33.3333 20 15 50 750 -50 250 200 -1 950 -25 25 10 60 600 -150 300 650 -1.67 1250 -20 33.33333 5 70 350 -250 350 1250 -3 1600 -16.6667 50 0 80 0 -350 400 2000 -7 2000 -14.2857 100
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