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

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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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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