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The cost function for a certain commodity is C(q) = 86 + 0.18q - 0.008q~ + 0.0005q3. (a) Find C'(100). Interpret C'(100). O This is

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The cost function for a certain commodity is C(q) = 86 + 0.18q - 0.008q~ + 0.0005q3. (a) Find C'(100). Interpret C'(100). O This is the cost of making 100 items. O This is the rate at which costs are increasing with respect to the production level when x = 100. O 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. O This is the rate at which the production level is decreasing with respect to the cost when x = 100. (b) Find the actual cost of manufacturing the 101st item. (Round your answer to the nearest cent.)

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