Consider three warehouses (G, C, P) storing certain product which is then shipped to three retail loca- tions (F, D, L).
Posted: Wed May 04, 2022 1:16 pm
- Consider Three Warehouses G C P Storing Certain Product Which Is Then Shipped To Three Retail Loca Tions F D L 1 (9.37 KiB) Viewed 22 times
- Consider Three Warehouses G C P Storing Certain Product Which Is Then Shipped To Three Retail Loca Tions F D L 2 (84.6 KiB) Viewed 22 times
min 39xCF +14FGD+20FGL +27CF +9FCD +12TCL +24rpp +14æpp+17æpl S. L. (supply at G) IGF+FGD+FGL ≤ 3400 (supply at C) (supply at P) ICF +2CD+2CL ≤2600 2pF+2pD+xPL ≤ 2900 (demand at F) IGF+ICF + EPF ≥ 1900 (demand at D) TGD + TCD+Fpp ≥2200 (demand at L) TGL + TCL+FPL ≥ 600 Tij ≥ 0, for all i, j The optimal solution was obtained as follows: Variable Value Dual TCD 2000 0 Constraint Slack Dual ICF 0 supply at C 0 -5 ICL 600 supply at G IGD 200 3200 1000 0 IGF supply at P demand at D 0 IGL 0 demand at F 0 TPD 0 demand at L 0 IPF 1900 *PL 0 0 Answer the following questions. In each case clearly explain the reasons behind your answer! (a) Would expanding the supply at any of the warehouses lead to reduction of shipment costs? If so, which warehouses should be expanded. (b) Suppose that either of the retail locations could absorb additional demand (on top of the quantities listed in the constraints), generating extra per unit revenue of 10 for D, 23 for F and 20 for L. Should you ship more of the products to any of the locations? (c) Suppose that the product is stored for free at G and P, but every unit of the supply at C costs 4. Would it be better to close warehouse C, since G and P have enough supply to satisfy all of the demand? (d) Suppose that location F could receive 10 units from warehouse G at the total cost of 260, by using an alternative means of transportation. Would it be profitable to use this option? ∞000 mooo 8 15 3 0 0 5001247