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Based on market research, a film production company in Ectenia obtains the following information about the demand and production costs of its new DVD: Demand: P = 1,000 - 10 Q Total Revenue: TR =1,000 Q - 10 Q 2 Marginal Revenue: MR = 1,000 - 20 Q Marginal Cost: MC = 100 + 10 Q , where Q indicates the number of copies sold and P is the price in Ectenian dollars. a. Find the price and quantity that maximize the company’s profit. b. Find the price and quantity that would maximize social welfare. c. Calculate the deadweight loss from monopoly. d. Suppose, in addition to the costs above, the director of the film has to be paid. The company is considering four options: i. a flat fee of 2,000 Ectenian dollars. ii. 50 percent of the profits. iii. 150 Ectenian dollars per unit sold. iv. 50 percent of the revenue. For each option, calculate the profit-maximizing price and quantity. Which, if any, of these compensation schemes would alter the deadweight loss from monopoly? Explain.

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Principles of Economics (MindTap C...

8th Edition
N. Gregory Mankiw
Publisher: Cengage Learning
ISBN: 9781305585126

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Chapter
Section
BuyFindarrow_forward

Principles of Economics (MindTap C...

8th Edition
N. Gregory Mankiw
Publisher: Cengage Learning
ISBN: 9781305585126
Chapter 15, Problem 10PA
Textbook Problem
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Based on market research, a film production company in Ectenia obtains the following information about the demand and production costs of its new DVD:

Demand: P = 1,000 - 10Q

Total Revenue: TR =1,000Q - 10Q2

Marginal Revenue: MR = 1,000 - 20Q

Marginal Cost: MC = 100 + 10Q,

where Q indicates the number of copies sold and P is the price in Ectenian dollars.

a. Find the price and quantity that maximize the company’s profit.

b. Find the price and quantity that would maximize social welfare.

c. Calculate the deadweight loss from monopoly.

d. Suppose, in addition to the costs above, the director of the film has to be paid. The company is considering four options:

i. a flat fee of 2,000 Ectenian dollars.

ii. 50 percent of the profits.

iii. 150 Ectenian dollars per unit sold.

iv. 50 percent of the revenue.

For each option, calculate the profit-maximizing price and quantity. Which, if any, of these compensation schemes would alter the deadweight loss from monopoly? Explain.

Subpart (a):

To determine
The profit maximization, dead weight loss and social welfare.

Explanation of Solution

Figure 1 illustrates the equilibrium position in the market.

Figure 1 depicts the demand, marginal revenue and marginal cost curves. The horizontal axis in figure 1 represents the quantity whereas the vertical axis represents the price.

The profit maximizing quantity can be calculated as follows.

MC=MR100020Q=00 + 10Q</

Subpart (b):

To determine
The profit maximization, dead weight loss and social welfare.

Subpart (c):

To determine
Dead weight loss.

Subpart (d):

To determine
The profit maximization, dead weight loss and social welfare.

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