18. A firm uses wool and cotton fiber to produce cloth. The amount of cloth produced is given by Q(x, y)=xy-x-y+1, where x is the num- ber of pounds of wool, y is the number of pounds of cotton, and x > I and y> 1. If wool costs p dollars per pound, cotton costs q dollars per pound, and the firm can spend B dollars on material, what should the mix of cotton and wool be to produce the most cloth?
18. A firm uses wool and cotton fiber to produce cloth. The amount of cloth produced is given by Q(x, y)=xy-x-y+1, where x is the num- ber of pounds of wool, y is the number of pounds of cotton, and x > I and y> 1. If wool costs p dollars per pound, cotton costs q dollars per pound, and the firm can spend B dollars on material, what should the mix of cotton and wool be to produce the most cloth?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 27EQ
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