b. The function ​R(x)equals

Question

A local sandwich store has a fixed weekly cost of

​$530.00

​,

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)equals

530 plus 0.45 x

​(Use integers or decimals for any numbers in the​ expression.)

b. The function

​R(x)equals

negative 0.001 x squared plus 3 x

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)= ??

nothing​(Simplify your answer. Use integers or decimals for any numbers in the​ expression.)

Answer 1

P(x) = R(x) - C(x)

The functions are given.

Substitute and simplify.