cost dC dt =  dollars/week (b) revenue dR dt =  dollars/week

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 16EQ
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2. A company that manufactures pet toys calculates that its costs and revenue can be modeled by the equations

C = 15,000 + 1.95x    and    R = 500x − 
x2
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.

a) cost
dC
dt
 =  dollars/week


(b) revenue
dR
dt
 =  dollars/week
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