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Suppose Race Car Motors has the following demand for its automobiles: P = 20,000 - Q Suppose its downstream division's cost of assembling cars is:

Suppose Race Car Motors has the following demand for its automobiles:

P = 20,000 - Q

Suppose its downstream division's cost of assembling cars is: CA(Q) =8000Q, while its upstream division's cost of producing engines is CE(QE) = 2QE2

If there is no outside market for its engines, how many engines and cars should the firm produce to maximize profits and what should the optimal transfer price be?

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