Exercise 5 (Cost, Revenue, and Profit). A company that manufactures pet toys calculates that its costs and revenue can be modeled by the equations = 75,000 +1.05z and R= 500z- 25 where z is the number of toys produced in 1 week. If production in one particular week is 5000 toys and is increasing at a rate of 250 toys per week, find: (5a) the rate at uwhich the cost is changing. (5b) the rate at uhich the revenue is changing. (5c) the rate at which the profit is changing.
Exercise 5 (Cost, Revenue, and Profit). A company that manufactures pet toys calculates that its costs and revenue can be modeled by the equations = 75,000 +1.05z and R= 500z- 25 where z is the number of toys produced in 1 week. If production in one particular week is 5000 toys and is increasing at a rate of 250 toys per week, find: (5a) the rate at uwhich the cost is changing. (5b) the rate at uhich the revenue is changing. (5c) the rate at which the profit is changing.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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(Cost, Revenue, and Profit). A company that manufactures pet toys calculates that its costs and revenue can be modeled by the equations
C = 75,000+1.05x and R=500x−x2/25
where x is the number of toys produced in 1 week. If production in one particular week is 5000 toys and is increasing at a rate of 250 toys per week, find:
a) The rate at which the cost is changing.
b)the rate at which the revenue is changing.
c)the rate at which the profit is changing.
Transcribed Image Text:Exercise 5 (Cost, Revenue, and Profit). A company that manufactures
pet toys calculates that its costs and revenue can be modeled by the equations
C = 75,000 + 1.05z and R= 500z
25
where z is the number of toys produced in 1 week. If production in one
particular week is 5000 toys and is increasing at a rate of 250 toys per week,
find:
(5a) the rate at uhich the cost is changing.
(5b) the rate at uhich the revenue is changing.
(5c) the rate at which the profit is changing.
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