The weekly cost C of producing x units in a manufacturing process is given by C(x) = 50x + 750. The number of units x produced in t hours is given by x(t) = 60t. (a) Find and interpret (C o x)(t). (Cox)(t) = O (Cox) (t) represents the production as a function of cost. O (Cox) (t) represents the cost of production as a function of time. (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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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The weekly cost C of producing x units in a manufacturing process is given by C(x) = 50x + 750. The number of units x produced in t hours is given by x(t) = 60t.
(a) Find and interpret (C o x)(t).
(Cox) (t) =
O (Cox) (t) represents the production as a function of cost.
O (Cox) (t) represents the cost of production as a function of time.
(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
Transcribed Image Text:The weekly cost C of producing x units in a manufacturing process is given by C(x) = 50x + 750. The number of units x produced in t hours is given by x(t) = 60t. (a) Find and interpret (C o x)(t). (Cox) (t) = O (Cox) (t) represents the production as a function of cost. O (Cox) (t) represents the cost of production as a function of time. (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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