A local sandwich store has a fixed weekly cost of $570. 00, and variable costs for making a roast beef sandwich are $0 65. Complete parts (a) through (c) a. Let x represent the number of roast beef sandwiches made and sold each week. Write the weekly cost function, C. for the local sandwich store (Hint The cost function is the sum of fixed and variable costs) C(x) =(Use integers or decimals for any numbers in the expression.) b. The function R(X)= -0.001x + 3x describes the money that the local sandwich store 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 store's weekly profit function, P (Hint The profit function is the difference between revenue and cost functions.) P(x)=D (Simplify your answer. Use integers or decimals for any numbers in the expression.) c. Use the store's 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? The maximum weekly profit is S when sandwiches are sold. (Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.)

A local sandwich store has a fixed weekly cost of $570. 00, and variable costs for making a roast beef sandwich are $0 65. Complete parts (a) through (c) a. Let x represent the number of roast beef sandwiches made and sold each week. Write the weekly cost function, C. for the local sandwich store (Hint The cost function is the sum of fixed and variable costs) C(x) =(Use integers or decimals for any numbers in the expression.) b. The function R(X)= -0.001x + 3x describes the money that the local sandwich store 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 store's weekly profit function, P (Hint The profit function is the difference between revenue and cost functions.) P(x)=D (Simplify your answer. Use integers or decimals for any numbers in the expression.) c. Use the store's 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? The maximum weekly profit is S when sandwiches are sold. (Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.)

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.1: Quadratic Functions

Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...

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