Suppose that for a company manufacturing calculators, the cost, revenue, and profit equations are given by x² 20' C = 90,000 + 40x, R=200x- where the production output in 1 week is x calculators. If production is increasing at a rate of 400 calculators per week when production output is 6,000 calculators. Find the rate of increase (decrease) in cost, revenue, and profit. A) Costs are increasing at the rate of $ (Simplify your answer.) B) Revenue is (Simplify your answer.) C) Profits are (Simplify your answer.) at the rate of $ P=R-C at the rate of $ per week at this production level. per week at this production level. per week at this production level.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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Suppose that for a company manufacturing calculators, the cost, revenue, and profit equations are given by
x²
20'
C = 90,000+ 40x, R=200x -
where the production output in 1 week is x calculators. If production is increasing at a rate of 400 calculators per week when production output is 6,000 calculators. Find the
rate of increase (decrease) in cost, revenue, and profit.
A) Costs are increasing at the rate of $
(Simplify your answer.)
B) Revenue is
(Simplify your answer.)
C) Profits are
(Simplify your answer.)
at the rate of $
P=R-C
at the rate of $
per week at this production level.
per week at this production level.
per week at this production level.
Transcribed Image Text:Suppose that for a company manufacturing calculators, the cost, revenue, and profit equations are given by x² 20' C = 90,000+ 40x, R=200x - where the production output in 1 week is x calculators. If production is increasing at a rate of 400 calculators per week when production output is 6,000 calculators. Find the rate of increase (decrease) in cost, revenue, and profit. A) Costs are increasing at the rate of $ (Simplify your answer.) B) Revenue is (Simplify your answer.) C) Profits are (Simplify your answer.) at the rate of $ P=R-C at the rate of $ per week at this production level. per week at this production level. per week at this production level.
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