The cost function of a certain commodity is C(x) = 84 + 0.16x – 0.0006x² + 0.00001x³ where C (x) is the production cost and x is the number of items produced. a. Find the marginal cost producing 101 items. b. Find the cost in producing the 101* item.

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Applications of Derivative: Rates of Change
1. The cost function of a certain commodity is C (x) = 84 + 0.16x - 0.0006x² +
0.00001x3 where C (x) is the production cost and x is the number of items produced.
a. Find the marginal cost producing 101 items.
b. Find the cost in producing the 101s* item.
Find how fast the volume, surface area and diagonal of a cube as the length of the edge
increases
Transcribed Image Text:Applications of Derivative: Rates of Change 1. The cost function of a certain commodity is C (x) = 84 + 0.16x - 0.0006x² + 0.00001x3 where C (x) is the production cost and x is the number of items produced. a. Find the marginal cost producing 101 items. b. Find the cost in producing the 101s* item. Find how fast the volume, surface area and diagonal of a cube as the length of the edge increases
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