The weekly cost C (in dollars) of producing x units in a manufacturing process is given by  C(x) = 80x + 300.  The number of units x produced in t hours is given by  x(t) = 50t. (a) Find  C(x(t)). C(x(t)) =          Interpret  C(x(t)). C(x(t)) is the weekly number of units produced.C(x(t)) is the average number of units produced per week.    C(x(t)) is the weekly cost of units produced.C(x(t)) is the weekly cost for t hours of production.C(x(t)) is the weekly number of hours of production. (b) Find the cost of 3 hours of production. $   (c) After how much time (in hr) does the cost of production reach $18,000?   h

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 39CT: The population P (in millions) of Texas from 2001 through 2014 can be approximated by the model...
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The weekly cost C (in dollars) of producing x units in a manufacturing process is given by 
C(x) = 80x + 300.
 The number of units x produced in t hours is given by 
x(t) = 50t.

(a)

Find 
C(x(t)).
C(x(t)) = 
 
 
 
 
Interpret 
C(x(t)).
C(x(t)) is the weekly number of units produced.C(x(t)) is the average number of units produced per week.    C(x(t)) is the weekly cost of units produced.C(x(t)) is the weekly cost for t hours of production.C(x(t)) is the weekly number of hours of production.

(b)

Find the cost of 3 hours of production.
$  

(c)

After how much time (in hr) does the cost of production reach $18,000?
  h
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