The revenue from selling q items is rq 500q - q2 and the

Question

Question: Give the cost, revenue, and profit functions.

1. The revenue from selling q items is R(q) = 500q - q², and the total cost is C(q) = 150 + 10q. Write a function that gives the total profit earned, and find the quantity which maximizes the profit.

2. Revenue is given by R(q) = 450q and cost is given by C(q) = 10,000 + 3q². At what quantity is profit maximized? What is the total profit at this production level?