How much distributors produce under franchising system

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Question: 1. Vertical Integration and Franchising Fees. Suppose an upstream manufacturer sells a product A which he can produce for a marginal cost of 4 dollars to two downstream distributors who compete in a Cournot game.The distributors face the following demand,marginal revenues and marginalcosts

Px = 260 - 5Q

MR1 = 260 - 10q1 - 5q2

MR2 = 260 - 10q2 - 5q1

MC = 6 + PA

Where PA is the price the manufacturer charges for A. Since the distrib-utors have market power the manufacturer is thinking of using a one timefranchising fee to maximize its pro?t.

i) What would are the prices, quantities and profits when the distributorsface a perfectly competitive market?

ii) What is the franchising fee and PA the manufacturer should choose tomaximize profit if this situation is repeated? Assume collusion is impossibleand the discount rate is 6 percent. (HINT: This does not require calculus. )

iii) How much do the distributors produce under this franchising system? What is the price? How does it compare to part i?

Reference no: EM131789218

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