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The cost function for production of a commodity is C(x) = 386 + 29x - 0.07x2 + 0.0005x. (a) Find C'(100). Interpret C'(100). This is the cost of making 100 items. O This is the rate at which the production level is decreasing with respect to the cost when x = 100. O This is the amount of time, in minutes, it takes to produce 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 number of items that must be produced before the costs reach 100. (b) Find the actual cost of producing the 101st item. (Round you %24 nswer to the arest cent.)

The cost function for production of a commodity is C(x) = 386 + 29x - 0.07x2 + 0.0005x. (a) Find C'(100). Interpret C'(100). This is the cost of making 100 items. O This is the rate at which the production level is decreasing with respect to the cost when x = 100. O This is the amount of time, in minutes, it takes to produce 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 number of items that must be produced before the costs reach 100. (b) Find the actual cost of producing the 101st item. (Round you %24 nswer to the arest cent.)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The cost function for production of a commodity is C(x) = 386 + 29x - 0.07x2 + 0.0005x2. (a) Find C'(100). Interpret C'(100). This is the cost of making 100 items. O This is the rate at which the production level is decreasing with respect to the cost when x = 100. O This is the amount of time, in minutes, it takes to produce 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 number of items that must be produced before the costs reach 100. (b) Find the actual cost of producing the 101st item. (Round your %24 nswer to the nearest cent.)
Transcribed Image Text:The cost function for production of a commodity is C(x) = 386 + 29x - 0.07x2 + 0.0005x2. (a) Find C'(100). Interpret C'(100). This is the cost of making 100 items. O This is the rate at which the production level is decreasing with respect to the cost when x = 100. O This is the amount of time, in minutes, it takes to produce 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 number of items that must be produced before the costs reach 100. (b) Find the actual cost of producing the 101st item. (Round your %24 nswer to the nearest cent.)
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