A company that manufactures pet toys calculates that its costs and revenue be modeled by the equations x2 C = 60,000 + 1.55x and R = 500x - where x is in the number of toys produced in 1 week. Production during one particular week is 5000 toys and is increasing at a rate of 350 toys per week. Find the rate at which the cost, revenue, and profit are changing. (a) cost dC dollars/week dt (b) revenue dR dollars/week dt (c) profit dP dollars/week dt

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.3: Lines
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A company that manufactures pet toys calculates that its costs and revenue can be modeled by the equations
x2
C = 60,000 + 1.55x
and
R = 500x
25
where x is in the number of toys produced in 1 week. Production during one particular week is 5000 toys and is increasing at a rate of 350 toys per week. Find the rate at which the cost, revenue,
and
profit are changing.
(а) cost
dC
dollars/week
dt
(b) revenue
dR
dollars/week
dt
(c) profit
dP
dollars/week
dt
Transcribed Image Text:A company that manufactures pet toys calculates that its costs and revenue can be modeled by the equations x2 C = 60,000 + 1.55x and R = 500x 25 where x is in the number of toys produced in 1 week. Production during one particular week is 5000 toys and is increasing at a rate of 350 toys per week. Find the rate at which the cost, revenue, and profit are changing. (а) cost dC dollars/week dt (b) revenue dR dollars/week dt (c) profit dP dollars/week dt
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