Question: Super Bikes, Inc has developed an optimization problem to minimize their shipping costs. The optimized solution is shown below. If management wanted to look at


Super Bikes, Inc has developed an optimization problem to minimize their shipping costs. The optimized solution is shown below. If management wanted to look at an Alternative Optimal Solution for this problem that would not raise the cost, what would the new objective function be? 4500 A D E F 1 Super Bikes, Inc. 2 Parameters 3 Shipping Cost/Unit 4 Destination 5 Origin 1- Dallas 2-Phoenix 3 - St. Louis 4 - Charlotte Supply 6 1- Seatle 6 4 7 9 8000 7 2-Little Rock 3 4 3 5 7000 8 Demand 3000 5000 2500 9 10 Model Minimize 11 Total Cost 68500 12 13 14 Destination 15 Origin 1- Dallas 2-Phoenix 3 - St. Louis 4 - Charlotte Supply 16 1-Seatle 4500 3000 500 0 8000 17 2- Little Rock 0 ol 4500 2500 7000 18 Demand 4500 3000 5000 2500 Maximize: X14 + X21 + X22 Minimize: X14 + X21 + X22 Maximize: X11 + X12 + X13 + X23 + X24 Minimize: X11 + X12 + X13 + X23 + X24 optimized solution is shown below. 11 management wanted to look at an Alternative Optimal Solution for this problem that would not raise the cost, what new constraint would need to be added to the model? E F 1 Super Bikes, Inc. 2 Parameters 3 Shipping Cost/Unit 4 Destination 5 Origin 1- Dallas 2- Phoenix 3 - St. Louis 4 - Charlotte Supply 6 1- Seatle 6 4 9 8000 7 2-Little Rock 3 4 3 5 7000 8 Demand 4500 3000 5000 2500 9 10 Model Minimize 11 Total Cost 68500 12 13 14 Destination 15 Origin 1- Dallas 2- Phoenix 3 - St. Louis 4 - Charlotte Supply 16 1- Seatle 4500 3000 0 8000 17 2- Little Rock 0 0 4500 2500 7000 18 Demand 4500 3000 5000 2500 500 6X11 + 4x12 + 7X13 + 9X14 + 3X21 + 4X22 + 3x23 + 5X24 = 68500 3X23 + 6x11 + 4x12 + 7X13 + 9x14 + 3X21 + 4X22 + 5X24 > 68500 + 6X11 + 4x12 + 7x13 + 9x14 + 3x21 +4x22 + 3X23 5X24
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