The marginal cost of a product is modeled by dC dx C = where x is the number of units. When x = 15, C = 140, (a) Find the cost function. (Round your constant term to two decimal places.) (14x+3)(3) 3 =3 2 14 14x + 3 + K (b) Find the cost (in dollars) of producing 60 units. (Round your answer to two decimal places.) $

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Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
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The marginal cost of a product is modeled by
dC
dx
C =
14
14x + 3
√14
where x is the number of units. When x = 15, C = 140,
(a) Find the cost function. (Round your constant term to two decimal places.)
( ²3 )
3/2 (14x+3)
+ K
(b) Find the cost (in dollars) of producing 60 units. (Round your answer to two decimal places.)
$
Transcribed Image Text:The marginal cost of a product is modeled by dC dx C = 14 14x + 3 √14 where x is the number of units. When x = 15, C = 140, (a) Find the cost function. (Round your constant term to two decimal places.) ( ²3 ) 3/2 (14x+3) + K (b) Find the cost (in dollars) of producing 60 units. (Round your answer to two decimal places.) $
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