2. The total cost, C (in thousand of dollars), of producing x (in hundred) units of some commodity is given by C-0.1x +9(x0) where x is related to time, t (in months), by the 21 +5 (t z 0). equation a. Find the rate of change of total cost with respect to number of unit produced. b. Find the rate of change of total cost with respect to time after 4 months.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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2. The total cost, C (in thousand of dollars), of producing x (in hundred) units of some
C-0.1x +9 (xz 0)
where x is related to time, t (in months), by the
commodity is given by
x- 21 +5(t z 0)
equation
a. Find the rate of change of total cost with respect to number of unit produced.
b. Find the rate of change of total cost with respect to time after 4 months.
Transcribed Image Text:2. The total cost, C (in thousand of dollars), of producing x (in hundred) units of some C-0.1x +9 (xz 0) where x is related to time, t (in months), by the commodity is given by x- 21 +5(t z 0) equation a. Find the rate of change of total cost with respect to number of unit produced. b. Find the rate of change of total cost with respect to time after 4 months.
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