Question: Barrows Textile Mills produces two kinds of cotton-denim and corduroy. Corduroy requires 7.5 pounds of raw cotton per yard, where denim requires 5 pounds of raw cotton per yard. A yard of corduroy requires 3.2 hours of processing; denim 3.0 hours. Demand for denim unlimited, the maximum demand for corduroy is 510 yards per month. The manufacturer has 6500 pounds of cotton and 3000 hours of processing time each month. The manufacturer profits $2.25 per yard of denim and $3.10 per yard of corduroy. The firm wants to know how many yards of each type of cloth to produce to maximize profit.

a. Formulate and solve a linear programming model for this problem.

b. Solve this problem using the graphical method.