The firm's profit can be given by the profit function (x)

(x) = Px - C(x) = Px - 0.5cx² - F

Where P is the product price. Assume that the firm is maximizing its profits.

a.Find the firm's adaptation

b.Find an expression for the firm's profit as a function of the product price P, the parameter c and the fixed costs F

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a. I assume I have to find the function where the firm is maximizing its profits, but how can I find this? I know the adaptation condition for a profit maximizing producer is given by p = MC, given that p > (or equal to) AVC.

b. Isn't this the same function that we are given? ((x) = Px - C(x) = Px - 0.5cx² - F). What is the difference between this and what they are asking?

I have sent in this question once before, but felt that the explanation wasn't quite clear.