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Linear programming:Sensitivity Analysis and Interpretation of Soluction

Consider the following linear programming:

Max 5 x 1+7 x 2
2 x 1+ 5 x 2 ≥3
-x 1 + 5 x 2 ≥ 4
3 x 1 + 2 x 2 ≤ 35
3/7 x 1 + x 2 ≤ 10
x 1 , x 2 ≥ 0

a. solve this problem using the graphical solution procedure.
b compute the range of optimality for the objective function coefficient of x1.
c.compute the range of optimality for the objective function coefficient of x2.
d suppose the objective function coefficient of x1 is decreased to 2. What is the new optimal solution?
e. suppose the objective function coefficient of x2 is increased to 10. What is the new optimal solution.

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