Solve for the following a Marginal cost MC if TC 10 15Q 2

Solve for the following.

            (a) Marginal cost (MC) if TC = 10 + 15Q + 2Q². Use the DQ approach found   

For (b)-(c),

            (b) Marginal profit (M) if Profit = .

            (c) Marginal cost (MC) if TC = 16 + 5.5Q + 0.5Q²

Solution

(a) TC = 10 + 15Q + 2Q2

MC is the first derivative of TC so MC = 15 + 4Q.

(b) incomplete question (profit =?)

To guess it may be the difference between (a) & (b) so, 15 + 4Q - 5.5 - Q = 9.5 + 3Q

(c) MC = 5.5 + Q