The weekly cost C of producing x units in a manufacturing process is given by  C(x) = 60x + 2250.  The number of units x produced in t hours is given by  x(t) = 50t. (a) Find and interpret  (C ∘ x)(t). (C ∘ x)(t)  =        (C∘x)(t)  represents the cost of production as a function of time. (C∘x)(t)  represents the production as a function of cost.     (b) Find the cost of the units produced in 4 hours. $  (c) Find the time that must elapse in order for the cost to increase to $15,000.  hr

Managerial Economics: A Problem Solving Approach
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ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter7: Economies Of Scale And Scope
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The weekly cost C of producing x units in a manufacturing process is given by 

C(x) = 60x + 2250.

 The number of units x produced in t hours is given by 

x(t) = 50t.
(a) Find and interpret 
(C ∘ x)(t).

(C ∘ x)(t)
 = 
 
 
 
(C∘x)(t)
 represents the cost of production as a function of time.
(C∘x)(t)
 represents the production as a function of cost.    

(b) Find the cost of the units produced in 4 hours.


(c) Find the time that must elapse in order for the cost to increase to $15,000.
 hr
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