Cost, revenue, and profit are in dollars and x is the number of units.

A firm knows that its marginal cost for a product is MC = 3x + 25,

that its marginal revenue is MR = 73 5x,

and that the cost of production of 100 units is $17,700.

(a) Find the optimal level of production.

units

(b) Find the profit function.

P(x) =

(c) Find the profit or loss at the optimal level.

There is a ---Select--- profit loss

of $

.