a) What are the optimal solution and the minimum value?

b) What is the range of feasibility for RHS of Constraint 2

c) List all constraints that are binding and explain how you deduce the answer.

d) Will the final value of X4 change if the objective coefficient of X4 is changed to -10? Why or why not?

e) The shadow price and allowable range for Constraint 4 are missing from the sensitivity report. Determine, with explanation, the shadow price and allowable range for Constraint 4.

f) If the objective coefficient of X1 is decreased by 10, do the optimal quantity change? Does the minimum value change and by how much?

g) If the resources available for Constraint 6 decreases by 2,000 and the resources available for Constraint 5 increases by 12,000, what will be the change to the minimum value, and new minimum value?

Adjustable Cells Final Reduced Objective Allowable Allowable Name Value Cost Coefficient Increase Decrease X1 25800 0 50 8 15 X2 2087.5 0 -90 13 40 X3 1700 0 20 29 46 X4 0 65.9 35 1E+30 66 Constraints Final Shadow Constraint Allowable Allowable Name Value Price R.H. Side Increase Decrease ci 26187 0 25000 1187.5 1E+30 15000 112.5 15000 950 12650 81575 0 8000 73575 1E+30 C4 -1313 14500 36000 -17.5 36000 21083 679 C6 6800 11.6 6800 447 6800 C2 C3 C5