a fertilizer producer finds that it can sell its product at a price of p=300-0.1x dollars per unit when it produces x units of fertilizer. the total production cost (in dollars) for x units is

c(x)=15, 000+125x+0.025x^2

if the production capacity of the firm is at most 1000 units of fertilizer in a specified time, how many units must be manufactured and sold in that time to maximize the profit?