a. What range of values can the objective function coefficient for variable X1 assume without changing the optimal solution? b. Is the optimal solution to this problem unique, or are there alternate optimal solutions? Why? c. How much does the objective function coefficient for variable X2 have to increase before it enters the optimal solution at a strictly positive level? d. Is the optimal solution to this problem degenerate? e. What is the optimal objective function value if the RHS value for the second constraint changes from 240 to 250?

f. Is the current solution still optimal if the coefficient for X2 in the second constraint changes from 4 to 1? Explain. g. What is the optimal objective function value if the objective function coefficient for X1 changes to 135? h. What is the optimal objective function value if the objective function coefficient for X2 changes to 60? i. What is the optimal objective function value if the RHS value of the first constraint increases to 410? j. What is the optimal objective function value if the RHS value of the last constraint decreases by 100? k. Which constraints are binding?

l. Will the current solution remain optimal if the objective function coefficients for X1, X2, and X3 decrease by 2? What is the new optimal value? It would help if you did the following to receive full credit: Calculate overall changes. Interpret the result of the 100% rule and calculate the new optimal value.

m. What is the optimal objective function value if the RHS value of the first constraint decreases by 5, the RHS value of the second constraint increases by 3, the RHS value of the third constraint increases by 50, and the RHS value of the fourth constraint decreases by 10 simultaneously? You should do the following to receive full credit: Calculate overall changes. Interpret the result of the 100% rule and calculate the new optimal value.

Homework from Ch.4 Name: Section Solve the following LP model by Analytic Solver for yourself and answer the giving thirteen problems below: MAX + 130X1 + 120X2 + 200X; 2X1 + 2X2 + 1X;