Country Motorbikes Incorporated finds that it costs $200 to produce each motorbike, and that fixed costs are $1600 per day. The price function is p(x) = 500 5x,

where p is the price (in dollars) at which exactly x motorbikes will be sold. Find the quantity Country Motorbikes should produce and the price it should charge to maximize profit. Also find the maximum profit. Show all work.

Quantity:

Price:

Profit: