Mathematics - Modelling and Simulation - Linear Programming

Irwin produces two types of cotton cloth-demin corduroy. Corduroy is a heavy grade of cotton cloth and requires 7.5 pounds of raw cotton per yard, whereas demin requires 5 pounds of raw cotton per yard. A yard of corduroy requires 3.2 hours of processing timel a yard of denim requires 3 hours. Although the demand for denim is practically unlimited, the a 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. Formulate a linear programming and transform this model to standard form. Also solve the model graphically. How much extra cotton and processing time are left over at the optimal solution and was the corduroy met the demand? 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? What would be the effect on the optimal solution if Irwin could obtain only 6,000 pounds of cotton per month? Solve the linear programming by using a computer. If Irwin obtains additl cotton or processing time but not both which should it select? How much and why. Identify the sensitivity ranges for the objective function coefficients and for the constraints quantity values and explain sensitivity range for the demand of corduroy.

I am having trouble solving the linear programming model and graphically along with the sensitivity ranges. Please help.