The company wants to come up with an optimal shipping strategy that will allow it to minimize its total shipping cost. Sensitivity Report Adjustable Cells Cell $B$9 $C$9 $D$9 $B$10 $C$10 $D$10 $B$11 $C$11 $D$11 Constraints Cell $E$9 $E$10 $E$11 $B$12 $C$12 $D$12 Final Reduced Objective Allowable Allowable Name Value Cost Coefficient Increase Decrease X1 X2 X3 *48488 X4 X5 X6 X7 X8 X9 250 0 0 50 100 200 F1 F2 F3 R1 R2 R3 0 400 0 0 1 2 0 OO 250 350 400 300 500 200 0 0 1 0 3 Name Value Price Final Shadow Constraint NON34 -2 0 -2 1 3 2 3 2 4 2 2 2 3 1 1E+30 250 350 400 300 500 200 1E+30 1 1 2 1E+30 1 1E+30 Allowable R.H. Side Increase 50 0 100 0 0 0 Use the Sensitivity Report to answer the following questions: (A) Please formulate the linear programming model. 1E+30 1 2 1 1 1E+30 1 1E+30 3 Allowable Decrease 0 1E+30 0 50 100 200 (B) Will any of the retail outlets experience any shortages in meeting their demand re- quirements if we implement the optimal solution? (C) Will any of the factories have any remaining quantities of the product if we imple- ment the optimal solution? (D) What is the total minimal shipping cost?
The company wants to come up with an optimal shipping strategy that will allow it to minimize its total shipping cost. Sensitivity Report Adjustable Cells Cell $B$9 $C$9 $D$9 $B$10 $C$10 $D$10 $B$11 $C$11 $D$11 Constraints Cell $E$9 $E$10 $E$11 $B$12 $C$12 $D$12 Final Reduced Objective Allowable Allowable Name Value Cost Coefficient Increase Decrease X1 X2 X3 *48488 X4 X5 X6 X7 X8 X9 250 0 0 50 100 200 F1 F2 F3 R1 R2 R3 0 400 0 0 1 2 0 OO 250 350 400 300 500 200 0 0 1 0 3 Name Value Price Final Shadow Constraint NON34 -2 0 -2 1 3 2 3 2 4 2 2 2 3 1 1E+30 250 350 400 300 500 200 1E+30 1 1 2 1E+30 1 1E+30 Allowable R.H. Side Increase 50 0 100 0 0 0 Use the Sensitivity Report to answer the following questions: (A) Please formulate the linear programming model. 1E+30 1 2 1 1 1E+30 1 1E+30 3 Allowable Decrease 0 1E+30 0 50 100 200 (B) Will any of the retail outlets experience any shortages in meeting their demand re- quirements if we implement the optimal solution? (C) Will any of the factories have any remaining quantities of the product if we imple- ment the optimal solution? (D) What is the total minimal shipping cost?
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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