If the current production level is x items with cost C(x), then the cost of computing h additionial items is C(x+h). The average cost of those h items is (C(x+h)−C(x))/h . As we analyze the cost of just the last item produced, this can be made into a mathematical model by taking the limit as h→0, i.e. the derivative C′(x). Use this function in the model below for the Marginal Cost function MC(x). The cost, in dollars, of producing x units of a certain item is given byC (x) = 0.0123 – 20x + 350.(a) Find the marginal cost function.aa°a|alsin (a)MC (x)(b) Find the marginal cost when 30 units of the item are produced.The marginal cost when 30 units are produced is $ Number(c) Find the actual cost of increasing production from 30 units to 31 units.The actual cost of increasing production from 30 units to 31 units is $ Number

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Description: If the current production level is x items with cost C(x), then the cost of computing h additionial items is C(x+h). The average cost of those h items is (C(x+h)−C(x))/h . As we analyze the cost of just the last item produced, this can be made into a

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College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Rational Functions And Conics

Section4.2: Graphs Of Rational Functions

Problem 88E

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If the current production level is x items with cost C(x), then the cost of computing h additionial items is C(x+h). The average cost of those h items is (C(x+h)−C(x))/h . As we analyze the cost of just the last item produced, this can be made into a mathematical model by taking the limit as h→0, i.e. the derivative C′(x). Use this function in the model below for the Marginal Cost function MC(x).

The cost, in dollars, of producing x units of a certain item is given by
C (x) = 0.0123 – 20x + 350.
(a) Find the marginal cost function.
a
a°
a
|al
sin (a)
MC (x)
(b) Find the marginal cost when 30 units of the item are produced.
The marginal cost when 30 units are produced is $ Number
(c) Find the actual cost of increasing production from 30 units to 31 units.
The actual cost of increasing production from 30 units to 31 units is $ Number

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