The cost function for production of a commodity is C(x) = 352 + 24x0.08x2 + 0.0009x³. (a) Find C'(100). Interpret C'(100). O This is the rate at which costs are increasing with respect to the production level when x = 100. This is the rate at which the production level is decreasing with respect to the cost when x = 100. This is the cost of making 100 items. This is the amount of time, in minutes, it takes to produce 100 items. This is the number of items that must be produced before the costs reach 100. (b) Find the actual cost of producing the 101st item. (Round your answer to the nearest cent.) $

The cost function for production of a commodity is C(x) = 352 + 24x0.08x2 + 0.0009x³. (a) Find C'(100). Interpret C'(100). O This is the rate at which costs are increasing with respect to the production level when x = 100. This is the rate at which the production level is decreasing with respect to the cost when x = 100. This is the cost of making 100 items. This is the amount of time, in minutes, it takes to produce 100 items. This is the number of items that must be produced before the costs reach 100. (b) Find the actual cost of producing the 101st item. (Round your answer to the nearest cent.) $

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter3: The Derivative

Section3.3: Rates Of Change

Problem 30E: If the instantaneous rate of change of f(x) with respect to x is positive when x=1, is f increasing...

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