C A student started a company called MATHulog which sells pillows for $8 each, and blankets for $10 each. The weekly total revenue is given from the sale of a pillows and y blankets. From the cost models that he learned from his calculus class, the student determined that the weekly total cost of producing a pillows and y blankets is given by C(x, y) = 0.001(x2 + ry + y ) + 10000 a. Determine the profit function P(x, y). b. How many pillows and how many blankets must he produce and sell per week in order to maximize the net profit? c. What is the optimal net profit