Irwin Textile Mills produces two types of cotton clothdenim and corduroy. Corduroy is a heavier grade of cotton cloth and, as such, requires 7.5pounds of raw cotton per yard, whereas denim requires 5 pounds of raw cotton per yard. A yard of corduroy requires 3.2 hours of processing time;a yard of denim requires 3.0 hours. Although the demand for denim is practically unlimited, the maximum demand for corduroy is 510 yards permonth. The manufacturer has 6,500 pounds of cotton and 3,000 hours of processing time available each month. The manufacturer makes a profitof $2.25 per yard of denim and $3.10 per yard of corduroy. The manufacturer wants to know how many yards of each type of cloth to produce tomaximize profit What would be the effect on the optimal solution if Irwin Mills could obtain only 6,000 pounds of cotton per month?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 73P
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Irwin Textile Mills produces two types of cotton clothdenim and corduroy. Corduroy is a heavier grade of cotton cloth and, as such, requires 7.5
pounds of raw cotton per yard, whereas denim requires 5 pounds of raw cotton per yard. A yard of corduroy requires 3.2 hours of processing time;
a yard of denim requires 3.0 hours. Although the demand for denim is practically unlimited, the maximum demand for corduroy is 510 yards per
month. The manufacturer has 6,500 pounds of cotton and 3,000 hours of processing time available each month. The manufacturer makes a profit
of $2.25 per yard of denim and $3.10 per yard of corduroy. The manufacturer wants to know how many yards of each type of cloth to produce to
maximize profit What would be the effect on the optimal solution if Irwin Mills could obtain only 6,000 pounds of cotton per month?

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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,