Question: 2) Use the sensitivity report below to answer the following questions: (20 points) Variable Cells Cell Name $B$4 # of Alfalfa $C$4 # of Beets

2) Use the sensitivity report below to answer the2) Use the sensitivity report below to answer the

2) Use the sensitivity report below to answer the following questions: (20 points) Variable Cells Cell Name $B$4 # of Alfalfa $C$4 # of Beets Final Reduced Objective Allowable Allowable Value Cost Coefficient Increase Decrease 0 -10 30 10 1E+30 200 0 40 1E+30 10 Constraints Cell Name $D$7 Land $D$8 Capital $D$9 Water Final Shadow Constraint Allowable Allowable Value Price R.H. Side Increase Decrease 200 40 200 1000 200 6000 0 45000 1E+30 39000 15000 0 90000 1E+30 75000 a. What is the production plan shown by this sensitivity report? b. What is the maximum profit represented by this sensitivity report? C. Which constraints are binding? Which are non-binding? d. Suppose the unit profit of beets is decreased by $5. Is the current solution still optimal? What is the value of the objective function when this unit cost is decreased by $5? e. How much can the profit per unit of alfalfa can be decreased without concern for the optimal solution changing? f. If the right-hand side of land is increased by 50, what will be the effect on the optimal solution? g. After production, how much capital remains unused? j. The company is considering adding pumpkin to the farm. Pumpkin will use 2 units of land, 10 units of capital, and 20 unit of water. What will it cost to grow pumpkin? If they can sell pumpkin for a profit of $60 should they proceed

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