Question

A company can produce 15 items for a total cost of $1,445, and has fixed costs of $515. They sell the items to the public for $78 each. Answer each of the following. Enter all answers below in

slope-intercept form, using exact numbers. Let x be the number of items.
(a) Find the company's linear cost function.
C(x) =
(b) Find the company's linear profit function.
P(x) =
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Question 1 of 1

Answer 1

C(x) = 62x + 515

P(x) = 16x - 515

Explanation:

total cost: $1445

Produced items: 15

fixed costs: $515

C(x) = mx + b

1445 = 15m + 515

15m = 1445 - 515

15m = 930

m = 930/15

m = 62

C(x) = 62x + 515

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

P(x) = 78 - (62x + 515)

P(x) = 78 - 62x - 515

P(x) = 16x - 515