A division of Ditton Industries manufactures the Futura model microwave oven. Th

Question

A division of Ditton Industries manufactures the Futura model microwave oven. The daily cost (in dollars) of producing these microwave ovens given by the following function, where x stands for the number of units produced. C(x) = 0.0002x3 - 0.06x2 + 120x + 5000 What is the actual cost incurred in manufacturing the 101st oven? The 191st oven? The 341st oven? (Round your answers to the nearest cent.) 101st $ 191st $ 341st $ What is the marginal cost when x = 100, 190, and 340? (Round your answers to the nearest cent.) 100 $ 190 $ 340 $

Explanation / Answer

1)

cost of 101 unit = 0.002 x 101^3 - 0.06 x 101^2 + 120 x 101 + 5000

= $18568.542

cost f 100 units = 0.002 x 100^3 - 0.06 x 100^2 + 120 x 100+ 5000

= $18400

so cost of 101 st = 18568.542 - 18400 = $ 168.542

b) cost of 191 units = 39666.882

cost of 190 units = 39352

so 191 st = 39666.882 - 39352 = 314.882

c) cost of 341 units = 118246.782

cos t of 340 units = 117472

so,cost of 341 st = 118246.782 - 117472 = 774.782

2) dC/dx = 0.006.x^2 - 0.12x + 120

so, 100 cost = 0.006 x 100^2 - 0.12 x 100 + 120 = $ 168

190 = $ 313.8

340 = $ 772.8

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