Irwin Textile Mills produces two types of cotton cloth denim and corduroy. Corduroy is a heavier grade of cotton cloth and, as such, requires 8 pounds of raw cotton per yard, whereas denim requires 6 pounds of raw cotton per yard. A yard of corduroy requires 4 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 $2.5 per yards of denim and $3.25 per yard of corduroy. The manufacturer wants to know how many yards of each type of cloth to produce to maximize profit.

a. Formulate the model and put it into standard form. Solve it

	Corduroy	denim
Profits for each product	3.25	2.5
			Resources		Available Resources
Cotton	8	6		<=	6500
Labor	4	3		<=	3000
			Demands
Corduroy			<=	510
denim			<=	1000000
Maximized profits
Write the standard form of the LP model in the space provided below

b. How much extra cotton and processing time are left over at the optimal solution? Is the demand for corduroy met?

Cotton
Processing Time

Is the demand for Corduroy met?

c. If Irwin Mills can obtain additional cotton or processing time, but not both, which should it select? How much? Explain your answer.

Processing Time or additional cotton?
How much?

Answer rating: 100% (QA)

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