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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.

College Algebra
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
Problem 92E
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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.

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.
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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