Chapter 9.9, Problem 4CP

### Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340

Chapter
Section

### Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340
Textbook Problem

# Suppose the total cost function for a commodity is C ( x )   =   0.01 x 3 — 0.9 x 2 +   33 x +   3000 .Calculate C ( 51 )   — C ( 50 ) to find the actual cost of producing the 51st unit.

To determine

To calculate: The value of actual cost of producing the 51st unit, C(51)C(50) if the cost function is C(x)=0.01x30.9x2+33x+3000.

Explanation

Given Information:

The cost function is C(x)=0.01x3âˆ’0.9x2+33x+3000.

Calculation:

Consider the provided cost function,

C(x)=0.01x3âˆ’0.9x2+33x+3000

For x=51, substitute 51 for x in the above function,

C(51)=0.01(51)3âˆ’0.9(51)2+33(51)+3000=0.01(132,651)âˆ’0.9(2601)+1683+3000=1326.51âˆ’2340

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