Applications 33. Cost, revenue, and profit rates. Suppose that for a com- pany manufacturing calculators, the cost, revenue, and profit equations are given by C = 90,000 + 30x R = 300x - 30 P=R-C where the production output in 1 week is x calculators. If production is increasing at a rate of 500 calculators per week when production output is 6,000 calculators, find the rate of increase (decrease) in (A) Cost (B) Revenue (C) Profit

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter5: Polynomial And Rational Functions
Section5.1: Quardratic Functions
Problem 71SE: Suppose that the price per unit in dollars ofa cell phone production is modeled by p=450.0125x,...
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Applications
33. Cost, revenue, and profit rates. Suppose that for a com-
pany manufacturing calculators, the cost, revenue, and profit
equations are given by
C = 90,000 + 30x
x²
R = 300x
30
P = R – C
where the production output in 1 week is x calculators. If
production is increasing at a rate of 500 calculators per week
when production output is 6,000 calculators, find the rate of
increase (decrease) in
(A) Cost
(B) Revenue
(C) Profit
Transcribed Image Text:Applications 33. Cost, revenue, and profit rates. Suppose that for a com- pany manufacturing calculators, the cost, revenue, and profit equations are given by C = 90,000 + 30x x² R = 300x 30 P = R – C where the production output in 1 week is x calculators. If production is increasing at a rate of 500 calculators per week when production output is 6,000 calculators, find the rate of increase (decrease) in (A) Cost (B) Revenue (C) Profit
Expert Solution
Given information and rate of change of cost

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