# Question #18c40

##### 1 Answer

Profit maximization occurs when

#### Explanation:

If this is not a perfect competition market, then

Since the total revenue is

The marginal revenue is the derivative of the total revenue function with respect to with respect to q:

The marginal cost is the derivative of the total cost function with respect to q:

Equaling Marginal revenue and marginal cost:

Isolate q and solve:

The profit function for this problem would have this graph:

graph{50/sqrt(x)*x-(0.5x+500) [, 5000, -500, 1000]}