C(x) = 0.01x-0.3x + 9x gives the cost, in thousands of dollars, to produce x thousand items. (a) Find a formula for the marginal cost. (b) Find C'(0). Give units. (c) Graph the marginal cost function. Use your graph to find the minimum marginal cost, the production level for which the marginal cost is the smallest (d) For what value of x does the marginal cost return to C'(0)? (a) Find a formula for the marginal cost C'(x) =|

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.2: Domain And Range
Problem 61SE: The cost in dollars of making x items is given by the function Cx)=10x+500. a. The fixed cost is...
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C(x) = 0.01x° - 0.3x2
+ 9x gives the cost, in thousands of dollars, to produce x thousand items.
(a) Find a formula for the marginal cost.
(b) Find C'(0). Give units.
(c) Graph the marginal cost function. Use your graph to find the minimum marginal cost, the production level for which the marginal cost is the smallest.
(d) For what value of x does the marginal cost return to C'(0)?
(a) Find a formula for the marginal cost.
C'(x) =
Transcribed Image Text:C(x) = 0.01x° - 0.3x2 + 9x gives the cost, in thousands of dollars, to produce x thousand items. (a) Find a formula for the marginal cost. (b) Find C'(0). Give units. (c) Graph the marginal cost function. Use your graph to find the minimum marginal cost, the production level for which the marginal cost is the smallest. (d) For what value of x does the marginal cost return to C'(0)? (a) Find a formula for the marginal cost. C'(x) =
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