Z00030. A local coffee shop has a fixed weekly cost of $550.00 and variable costs for making $0.70 for making each gallon of coffee.
(a) Let x represent the number of gallons of coffee each week. Write the weekly cost function C.
(b) The function R(x) = -0.001x2 + 3x describes the money that the local coffee shop takes in each week from coffee sales. Use the revenue function and the cost function to find the shop’s weekly profit function, P.
(c) Use the profit function to determine the number of gallons of coffee the shop needs to sell in order to maximize weekly profit. What is the maximum weekly profit?
