Black Box Cable TV is able to purchase an exclusive right to sell a premium movie channel (PMC) in its market area. Let's assume that Black Box Cable pays $150,000 a year for the exclusive marketing rights to PMC. Since Black Box has already installed cable to all of the homes in its market area, the marginal cost of delivering PMC to subscribers is zero. The manager of Black Box needs to know what price to charge for the PMC service to maximize her profit. Before setting price, she hires an economist to estimate demand for the PMC service. The economist discovers that there are two types of subscribers who value premium movie channels. First are the 4,000 die-hard TV viewers who will pay as much as $150 a year for the new PMC premium channel. Second, the PMC channel will appeal to 20,000 occasional TV viewers who will pay as much as $20 a year for a subscription to PMC.

If Black Box Cable TV is unable to price discriminate, what price will it choose to maximize its profit, and what is the amount of the profit?
a. price = $20; profit = $400,000
b. price = $20; profit = $330,000
c. price = $150; profit = $450,000
d. price = $150; profit = $600,000

If Black Box Cable TV is able to price discriminate, what would be the maximum amount of profit it could generate?
a. $500,000
b. $600,000
c. $850,000
d. $925,000

What is the deadweight loss associated with the non-discriminating pricing policy compared to the price discriminating policy?
a. $375,000
b. $400,000
c. $475,000
d. It cannot be determined from the information provided.

Respuesta :

Answer:

c. price = $150; profit = $450,000

c. $850,000

b. $400,000

the dead-weight loss would be the loss in consumer or producer surplus as they didin't enter the trade.

Explanation:

A)

revenue exploiting the die-hard fans:

150 x 4,000 =  600,000

revenue to get 100% market

24,000 x 20 = 480,000

It is a better idea to charge $150 as it provides more contribution.

If it can discriminate:

150 x 4,000 = 600,000

+ 20,000 x 20 = 400,000

total of 1,000,000 from revenues less 150,000 cost:

850,000 profit

Profit in case 1 , Profit in case 2 and Dead weight loss are $450,000 , $850,000 and $400,000

Case1 ;

Monopoly will charge the highest price possible in order to maximize profit. There is no differential pricing because there is no differential pricing. Only 4,000 people will sign up for the increased costs.

So,

Price = $150  

Profit = ($150 × 4,000) - $150,000

Profit = ($600,000 - $150,000 )

Profit  = $450,000

So, Option "C" is the correct answer to the following question.

Case2 ;

Monopoly will charge the highest price possible in order to maximize profit. There is no differential pricing because there is no differential pricing. Only 4000 people will sign up for the increased costs.

Profit = [(4,000 × $150) + (20,000 × $20)] - $150,000

Profit = $850,000

So, Option "C" is the correct answer to the following question.

Case3 ;

Dead weight loss is the loss where monopoly produces less than the optimum level of output required in the economy.

Dead weight loss = 20,000 × $20

Dead weight loss = $400,000  

So, Option "B" is the correct answer to the following question.

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