The daily cost (in dollars) of producing LG ultra high definition televisions is given by C(x) = 3x³ 50x² + 80x + 400 where x denotes the number of thousands of televisions produced in a day. (a) Compute the average cost function, C(x). C(x) = (b) Compute the marginal average cost function, C'(x). C'(x) = (c) Using the marginal average cost function, C'(x), approximate the marginal average cost when 2000 televisions have been produced.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 54CR
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The daily cost (in dollars) of producing LG ultra high definition televisions is given by
C(x) = 3x³ 50x2² + 80x + 400
where x denotes the number of thousands of televisions produced in a day.
(a) Compute the average cost function, C(x).
C(x) =
(b) Compute the marginal average cost function, C'(x).
C'(x) =
(c) Using the marginal average cost function, C'(x), approximate the marginal average cost when 2000 televisions have been produced.
Transcribed Image Text:The daily cost (in dollars) of producing LG ultra high definition televisions is given by C(x) = 3x³ 50x2² + 80x + 400 where x denotes the number of thousands of televisions produced in a day. (a) Compute the average cost function, C(x). C(x) = (b) Compute the marginal average cost function, C'(x). C'(x) = (c) Using the marginal average cost function, C'(x), approximate the marginal average cost when 2000 televisions have been produced.
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