   Chapter 12, Problem 41RE ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# Cost The marginal cost for a product is M C ¯   = 6 x   +   4 dollars per unit, and the cost of producing 100 items is $31,400.(a) Find the fixed costs.(b) Find the total cost function. (a) To determine To calculate: The fixed costs if MC¯=6x+4 dollar per unit and the cost for producing 100 items is$31,400.

Explanation

Given information:

It is provided that MC¯=6x+4.

Formula used:

Total Cost,

C(x)=MC¯dx

Where MC¯ is defined as the marginal cost.

Calculation:

Consider the marginal cost,

MC¯=6x+4

Use the total cost formula as,

C(x)=(6x+4)dx=6x22+4x+K=3x</

(b)

To determine

To calculate: The total cost function if MC¯=6x+4 and the cost of producing 100 items is \$31,400.

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