In a small business, if you invest "x" dollars in labor, and "y" dollars in machinery and equipment, the expected production of that business will be P(x,y)=66x1/3y2/3 pounds of sugar, if you have $90879 to invest in production, and you want to get the maximum production. a)How much money should be invested in labor? b)How much money should be invested in machinery and equipment? c)What is the maximum production in pounds that can be obtained with this investment?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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In a small business, if you invest "x" dollars in labor, and "y" dollars in machinery and equipment, the expected production of that business will be P(x,y)=66x1/3y2/3 pounds of sugar, if you have $90879 to invest in production, and you want to get the maximum production.

a)How much money should be invested in labor?

b)How much money should be invested in machinery and equipment?

c)What is the maximum production in pounds that can be obtained with this investment?

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