Nutrient A ABC D Cost per lb Pounds per cow per mo Max Available Minimize: F10 By Changing: C11:E11 Subject To: H6: Nutrient (in ounces) per pound of feed Feed 1 Feed 2 Feed 3 3 3 1 6 $2.00 15 15 6:F9 Variable Cells Cell Name $C$11 Pounds per cow per mo Feed 1 $D$11 Pounds per cow per mo Feed 2 $E$11 Pounds per cow per mo Feed 3 Constraints Cell $F$6 A Available $F$7 B Available $F$8 C Available $F$9 D Available $F$6 A Available $F$7 B Available $F$8 C Available $F$9 D Available Name Final Reduced Objective Allowable Value Cost Coefficient Increase 15 9.5 8.5 -4.5 0 0 98 80 32 200 98 80 32 200 Final Shadow Constraint Value Price R.H. Side 2 3 4 0 0 -2.5 0 0 3 0 0 128 160 32 256 64 80 16 128 4.5 1E+30 1E+30 1.66666667 5 Allowable Increase Allowable Decrease 1E+30 1E+30 6.33333333 1E+30 34 5.5 16 72 Allowable Decrease 9 30 80 3.66666667 56 1E+30 9 1E+30 1E+30 Homework 4 Use the Sensitivity report posted on Blackboard (similar/same problem from HW2), answer the following questions: a. Is the solution degenerate? (10 points) b. Is the solution unique? (10 points) c. Explain the signs of the reduced costs for each of the decision variables. That is, considering the optimal value of each decision variable, why does the sign of its associated reduced cost make economic sense? (20 points) d. Suppose the cost per pound for Feed 3 increased by $3. Would the optimal solution change? Would the optimal objective function value change? (20 points) e. If the company could reduce any of the nutrient requirements, which one should it choose and why? (20 points) f. If the company could increase any of the nutrient requirements, which one should it choose and why? (20 points) Please type your answers in Word with justifications (calculations if necessary). You could also choose write down your work on a piece of paper and then take a picture of it.