5) A company manufactures paper shredders. The total weekly cost (in dollars) of producing x shredders is given by: C(x) = 14,500 + 35x – 0.02x² a) Find the marginal cost function b) Find the marginal cost at a production level of 400 shredders per week c) Interpret the value found in b) d) Find the exact costs of producing the 401st item

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids
Section: Chapter Questions
Problem 79A
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5) A company manufactures paper shredders. The total weekly cost (in dollars) of producing x shredders is given by:
C(x) = 14,500 + 35x – 0.02x2
a) Find the marginal cost function
b) Find the marginal cost at a production level of 400 shredders per week
c) Interpret the value found in b)
d) Find the exact costs of producing the 401st item
Transcribed Image Text:5) A company manufactures paper shredders. The total weekly cost (in dollars) of producing x shredders is given by: C(x) = 14,500 + 35x – 0.02x2 a) Find the marginal cost function b) Find the marginal cost at a production level of 400 shredders per week c) Interpret the value found in b) d) Find the exact costs of producing the 401st item
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