Barrows Textile Mills produces two types of cotton cloth—denim and corduroy. Corduroy is a heavier grade of cottoncloth and, as such, requires 7.5 pounds of raw cotton peryard, whereas denim requires 5 pounds of raw cotton peryard. A yard of corduroy requires 3.2 hours of processingtime; a yard of denim requires 3.0 hours. Although the demand for denim is practically unlimited, the maximumdemand for corduroy is 510 yards per month. The manufacturer has 6500 pounds of cotton and 3000 hours of processing time available each month. The manufacturermakes a profit of $2.25 per yard of denim and $3.10 peryard of corduroy. The manufacturer wants to know howmany yards of each type of cloth to produce to maximizeprofit.PROBLEMS • GO Tutoriala. Formulate and solve a linear programming model forthis problem.b. Solve this model using the graphical method.
Barrows Textile Mills produces two types of cotton cloth—
denim 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 6500 pounds of cotton and 3000 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.
PROBLEMS • GO Tutorial
a. Formulate and solve a linear programming model for
this problem.
b. Solve this model using the graphical method.
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