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?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
![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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8109dbb5-39b2-442d-b17d-793e299fca4a%2F8a70d65d-b0c3-41ca-9a6c-6f8389b50637%2Fr243rki_processed.png&w=3840&q=75)
Transcribed Image Text: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?
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