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Problem Description A production manager wants to determine how many units of each product to produce weekly to maximize weekly profits. Production requirements for the products are show in the following table: Product Material 1 (lbs) Material 2 (lbs) Labor (hours) Profit/unit 3 2 4 10 B 1 4 2 10 0 3.5 10 Each week there are 300 pounds of material 1; 400 pounds of material 2; and 200 hours of labor. There is a standing order of 10 units of product Ceach week. The LP model formulation of this problem is shown below LP FORMULATION Maximize 10A + 10B + 100 PROFIT Subject to: SA + B + 5C = 0 NON-NEGATIVITY CONSTRAINT SENSITIVITY REPORT Adjustable cells Reduced Allowable Allowable Final Value Objective Coefficient Cell Name Cost Increase Decrease 0 - 10 10 10 1E+30 $B$4 $C$4 SD$4 Units produced: A Units produced: B Units produced: C 82.5 0 10 1E+30 4.285 10 0 10 7.5 1E+30 Constraints Final Shadow Constraint Allowable Increase Allowable Decrease Cell Name Value Price R.H.S. Side Material 1 Available 132.5 0 300 1E+30 167.5 SE$7 $E$8 SE$9 Material 2 Available 330 0 400 1E+30 70 Labor hrs Available 200 5 200 35 165 $ in.. Min linite of 10 75 in 17 147 10 How many units of Product B are produced in the optimal solution? A 0 B 92.5 10 D) 82.5 E not enough information Question 10 10 Points Suppose that the objective function coefficient for Product A increases by $8. What impact will this have on the objective function value? ) Can only be discovered by re-solving the problem. B There will be no change. C) Objective function value will increase by $80. Objective function value will decrease by $80. E) Objective function value will increase by $8. Suppose that the objective function coefficient for Product B decreases by $4. What impact will this have on the objective function value? A) Objective function value decreases by $330 B There will be no change C Can only be discovered by re-solving the problem D) Objective function value decreases by $4 E Objective function value decreases by $17.14 Question 12 10 Points Suppose that the production manager has an additional 30 pounds of Material 2. What impact will this have on the current optimal objective function value? A no change. B an increase of $30. C) an increase of $330. cannot tell from the information provided. E a decrease of $400