Explanation Given Information: For a particular product, the number of units x produced per month depends on the number of thousands of dollars y invested with, x = 30 y + 20 y 2 The amount invested is $ 10 , 000 and investment capital is increasing at the rate of $ 1000 per month. Formula used: The derivative formula, d d x x n = n x n − 1 Calculation: As it is provided that for a particular product, the number of units x produced per month depends on the number of thousands of dollars y invested with, x = 30 y + 20 y 2 Now, the rate at which the production is changing will be obtained by differentiating the above equation with respect to t as, d x d t = 30 d y d t +

WebAssign Printed Access Card for Harshbarger/Reynolds' Mathematical Applications for the Management, Life, and Social Sciences, 12th Edition, Multi-Term

12th Edition

ISBN: 9781337630542

Author: Ronald J. Harshbarger, James J. Reynolds

Publisher: Cengage Learning

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Differential Equations

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Chapter 11.4, Problem 21E

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To calculate: The rate of change of production if $10,000 is invested and the investment capital is increasing at a rate of $1000 per month if x=30y+20y2.

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Chapter 11.4, Problem 20E

Chapter 11.4, Problem 22E

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Chapter 11 Solutions

WebAssign Printed Access Card for Harshbarger/Reynolds' Mathematical Applications for the Management, Life, and Social Sciences, 12th Edition, Multi-Term

Ch. 11.1 - 1. Ch. 11.1 - 2. If Ch. 11.1 - Prob. 3CP Ch. 11.1 - 4. Find . Ch. 11.1 - Prob. 1E Ch. 11.1 - Prob. 2E Ch. 11.1 - Prob. 3E Ch. 11.1 - Prob. 4E Ch. 11.1 - Prob. 5E Ch. 11.1 - Find the derivatives of the functions in Problems...

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The rate of change of production if $ 10 , 000 is invested and the investment capital is increasing at a rate of $ 1000 per month if x = 30 y + 20 y 2 .

Solution Summary: The author explains how the rate of change of production is 430units/month.

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To calculate: The rate of change of production if $10,000 is invested and the investment capital is increasing at a rate of $1000 per month if x=30y+20y2.

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Chapter 11 Solutions