Question: You will need to refer to problem 11 first.  Please refer to problem 11 on page 302.  Try to solve problem 11 first if you can.  The solution is provided below:

---- PROBLEM 11 ----

Irwin Textile Mills produces two types of cotton cloth – denim and corduroy. Corduroy is a heavier grade of cotton 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 wants to know how many yards of each type of cloth to produce to produce to maximize profit.

1. Formulate a linear programming model for this problem
2. Transform this model into standard form

For problem 12:

a)  Solve the problem graphically by providing the extreme points and the corresponding z values, and indicate the optimum solution.  Also indicate how much extra cotton and processing time are left over at the optimal solution.  Is the demand for corduroy met?

b) What is the effect on the optimal solution if the profit per yard of denim is increased from $2.25 to $3.00?  What is the effect if the profit per yard of corduroy is increased from $3.10 to $4.00?

c)  What will be the effect on the optimal solution if Irwin Mills could obtain only 6,000 pounds of cotton per month?

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Solution: The downloadable solution consists of 4 pages
Deliverable: Word Document