In Chapter 9, we saw that the profit, P(x), generated

Chapter 11, Problem 11.1.364

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In Chapter 9, we saw that the profit, P(x), generated after producing and selling x units of a product is given by the function P(x) R(x) C(x), where R and C are the revenue and cost functions, respectively. Use these functions to solve Exercises 6970. Hunky Beef, a local sandwich store, has a fixed weekly cost of $525.00, and variable costs for making a roast beef sandwich are $0.55. a. Let x represent the number of roast beef sandwiches made and sold each week. Write the weekly cost function, C, for Hunky Beef. b. The function R(x) 0.001x2 3x describes the money that Hunky Beef takes in each week from the sale of x roast beef sandwiches. Use this revenue function and the cost function from part (a) to write the stores weekly profit function, P. c. Use the stores profit function to determine the number of roast beef sandwiches it should make and sell each week to maximize profit. What is the maximum weekly profit?

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