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a. Suppose a firm's inverse demand curve is given by P=120 - .5Q, and its cost equation is C = 420 + 60 Q + Q^2.
a) Find the firm's optimal quantity, price, and profit
(1) by using the profit and marginal profit equations and
(2) by setting MR equal to MC. Also provide a graph of MR and MC.
b) Suppose instead that the firm can sell any and all of its output at the fixed market price P= 120. Find the firm's optimal output.
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