(Answered) Firm z faces the price equation p 50 a5

Economics

Firm Z faces the price equation P = 50 + A.5 - Q, and the cost function C = 20Q + A, where A denotes advertising spending.

a. Other things (price) held constant, does an increase in advertising spending lead to greater sales? Does advertising spending represent a fixed cost or a variable cost?

b. Find the firm's profit-maximizing quantity as a function of A. (Hint: Treating A as fixed, we have MR = 50 + A.5 - 2Q.) Do the same for the firm's price. Explain these results.

c. Using the results in part (b), write the firm's profit expression in terms of A alone. Find the firm's optimal level of advertising. Find its optimal quantity and price.

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