Answered: cost dC dt = dollars/week (b)…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter2: Functions And Graphs

Section2.4: Writing And Graphing Equations Of Lines

Problem 80E

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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

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

= dollars/week

(b) revenue

= dollars/week

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