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use marginal cost to approximate the cost of producing the 21st food processor. C(x)=2,000+50x-0.5X2

Question

use marginal cost to approximate the cost of producing the 21st food processor. 

C(x)=2,000+50x-0.5X2

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Step 1

Given:

C(x) 2,000+50x-0.5x
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C(x) 2,000+50x-0.5x

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Step 2

Compute the derivative of C(x) as shown below,

С (2) - 50- 2(0.5)х
3 50- х
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С (2) - 50- 2(0.5)х 3 50- х

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Step 3

The marginal cost for the production of 2...

C' (20) 50-20
=$30
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C' (20) 50-20 =$30

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Math

Calculus

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