The average cost (in dolars per tem) to produce z tems is given by C(2) -0.012 -0.6r + 17, for 2>0. (a) What is the total cost, C(2), of producing z goods? C(a) - dollars (b) Find the marginal cost function, C"(z). C"() - (C) Notice that C'(2) is a quadratic function. Find the vertex. Using the vertex, we see that the minimum possible value of the marginal cost is dollars per item. (a) Find crtical values and any max or min points of C(2), Use to complete the following sentence: The average cost is at a minimum when goods are produced at an average cost of $ per item. (e) Compute the marginal cost at i 30. C"(30) = SY

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The average cost (in dolars per tem) to produce z hems is given by
C(2) -0.012 -0.6r + 17, for 2>0.
(a) What is the total cost, C(z), of producing z goods?
dollars
(b) Find the marginal cost function, C"(z).
C"() -
(C) Notice that C'(x) is a quadratic function. Find the vertex. Using the vertex, we see that the minimum possible value of the marginal cost is
dollars per item.
(a) Find crtical values and any max or min points of C(2), Use to complete the following sentence:
The average cost is at a minimum when
goods are produced at an average cost of S
per item.
(e) Compute the marginal cost at i 30.
C"(30) -
SY
Transcribed Image Text:The average cost (in dolars per tem) to produce z hems is given by C(2) -0.012 -0.6r + 17, for 2>0. (a) What is the total cost, C(z), of producing z goods? dollars (b) Find the marginal cost function, C"(z). C"() - (C) Notice that C'(x) is a quadratic function. Find the vertex. Using the vertex, we see that the minimum possible value of the marginal cost is dollars per item. (a) Find crtical values and any max or min points of C(2), Use to complete the following sentence: The average cost is at a minimum when goods are produced at an average cost of S per item. (e) Compute the marginal cost at i 30. C"(30) - SY
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