A manager at the Black Box microprocessor manufacturing company finds through data gathered in research that the marginal cost function for a certain type of automobile computer chip made at the facility is given by MC(x) = C'(x) = 6x√(x2 + 11) where x represents the number of auto computer chips produced each hour and MC(x) represents the marginal cost. The manager also knows that it costs $1932 to manufacture 5 chips. (i) Recover the cost function C  (ii) Find the fixed costs. [To avoid confusion, call the arbitrary constant d.]

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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 A manager at the Black Box microprocessor manufacturing company finds through data
gathered in research that the marginal cost function for a certain type of automobile computer chip made at the facility is given by
MC(x) = C'(x) = 6x√(x2 + 11)
where x represents the number of auto computer chips produced each hour and MC(x) represents the marginal cost. The manager also knows that it costs $1932 to manufacture 5
chips.
(i) Recover the cost function C 
(ii) Find the fixed costs. [To avoid confusion, call the arbitrary constant d.] 

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