Question

Last part only please

Answer 1

The marginal cost function is C'(x) = 4 + 0.06x + 0.0009x². The cost of 150th pair of jeans is $13.135. The actual cost of 151st pairs jeans is $13.1359.

The cost of the pair of jeans is defined by the function,

C(x) = 2000 + 4x + 0.03x² + 0.0003x³

a. Marginal cost function is,

Differentiating with respect to x,

C'(x) = 4 + 0.06x + 0.0009x²

b. The value of C'(150),

Putting x = 150,

C'(150) = 4 + 0.06(150) + 0.0009(150)

C'(150) = 4 +9 + 0.135

C'(150) = $13.135.

It predicts the cost of 150th pair of jeans.

c. The cost of 151st pair is,

C(151) = 4 + 0.06(151) + 0.0009(151)

C(151) = 4 + 9.06 + 0.1359

C(151) = $13.1359.

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