Microeconomics question. Please help.?

Question

Given a demand function: P = 20- 2q and
total cost: TC = 98 + 1q2; determine the normal profit price.

Answer 1

Take the derivative of your cost function to find marginal cost.

Set to 0.

Then plug q into your price function and you'll find price where you maximize profits.

Answer 2

By normal, I assume that you mean the case where economic profits are zero. This occurs when the price is at the minimum of the average cost curve.

So, use the TC curve to find the AC curve, and find the Q that corresponds to the mimimum of that curve. That will tell you the price (P=AC).

The demand curve seems to be a red herring.