A firm has the following revenue and cost functions. TR = 120 Q – Q2 TC = 1/2Q2 +30 Q + 10 Determine the quantity level at which the firm maximizes its total profit. (_Hint: use marginal revenue = marginal cost rule)_

A firm has the following revenue and cost functions.

TR = 120 Q – Q2

TC = 1/2Q2 +30 Q + 10

Determine the quantity level at which the firm maximizes its total
profit.

(_Hint: use marginal revenue = marginal cost rule)_