A local sandwich store has a fixed weekly cost of $565.00, and variable costs for making a roast beef sandwich are $0.60. 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) = 0.60x + 565 (Use integers or decimals for any numbers in the expression.) %3D b. The function R(x) = - 0.001x2 + 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) =] (Simplify your answer. Use integers or decimals for any numbers in the expression.)

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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A local sandwich store has a fixed weekly cost of $565.00, and variable costs for making a roast beef sandwich
are $0.60. 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) = 0.60x + 565 (Use integers or decimals for any numbers in the expression.)
%3D
b. The function R(x) = - 0.001x2 + 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) =]
(Simplify your answer. Use integers or decimals for any numbers in the expression.)
Transcribed Image Text:A local sandwich store has a fixed weekly cost of $565.00, and variable costs for making a roast beef sandwich are $0.60. 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) = 0.60x + 565 (Use integers or decimals for any numbers in the expression.) %3D b. The function R(x) = - 0.001x2 + 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) =] (Simplify your answer. Use integers or decimals for any numbers in the expression.)
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