A local sandwich store has a fixed weekly cost of $535.00, and variable costs for making a roast beef sandwich are $0.45. 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) = 535 + 0.45x (Use integers or decimals for any numbers in the expression.)
b. The function R(x) = - 0.001x^2 + 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.)