Road Runner Co is a Pakistani manufacturer making Bicycles. It exports to two markets, Bangladesh and Sri Lanka. Demand for Bicycles in these two markets is given by the following Functions: Bangladesh                 Q1 = 12 – P1 Sri Lanka                    Q2 =   8 – P2 Where Q1 and Q2 are respective quantities sold (in thousands) andP1 and P2 are the respective prices (in Pak. Rupees per unit) in the two markets. Total cost function is C = 5 + 2 (Q1+ Q2) a) Determine the company’s total profit function. Also, (i) What are the profit maximizing levels of price and output for the two markets? (ii) Calculate the marginal revenues in each market.   b) Now consider two cases: (i)  Company is effectively able to price discriminate in the two markets. What will              be the total profits? (ii)  Suppose the company does not engage in price discrimination. By charging the same price in the two markets what are the profit maximizing levels of price, output, and the total profits?                                          c) Analyze, with graphs, the two alternative pricing strategies available to the company

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
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Road Runner Co is a Pakistani manufacturer making Bicycles. It exports to two markets, Bangladesh and Sri Lanka. Demand for Bicycles in these two markets is given by the following Functions:

Bangladesh                 Q1 = 12 – P1

Sri Lanka                    Q2 =   8 – P2

Where Q1 and Q2 are respective quantities sold (in thousands) andP1 and P2 are the respective prices (in Pak. Rupees per unit) in the two markets. Total cost function is

C = 5 + 2 (Q1+ Q2)

a) Determine the company’s total profit function. Also,

(i) What are the profit maximizing levels of price and output for the two markets?

(ii) Calculate the marginal revenues in each market.

 

b) Now consider two cases:

(i)  Company is effectively able to price discriminate in the two markets. What will

             be the total profits?

(ii)  Suppose the company does not engage in price discrimination. By charging the same price in the two markets what are the profit maximizing levels of price, output, and the total profits?                                         

c) Analyze, with graphs, the two alternative pricing strategies available to the company.

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ISBN:
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Author:
WINSTON, Wayne L.
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Cengage,