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Power Pickles is now considering selling their product under a new name. Caffeine Cucumbers. Their plan is to ship the packages from their three plants
Power Pickles is now considering selling their product under a new name. Caffeine Cucumbers. Their plan is to ship the packages from their three plants to four retail kiosks using a private shipping company, rather than through their distribution network {in the previous problem}. The plant supply and kiosk demands [in packages} are summarised below. as is the perpackage shipping cost from plant to kiosk. Kiosk Plant 1 2 3 4 Supplltr 1 83 $T $5 $13 100 2 $14 314 $13 33 120 3 $10 $4 $13 33 30 Demand 100 T5 150 1T5 The Power Pickles Planning Panel plans to prepare a proposal to post the pickle pack ages. Additional packages are not available, so some kiosks will not get all the packages the}: require. Power Pickles would like to use nonpreemptive goal programming to de- termine a compromise plan for distributing the packages to the kiosks. The}; have established the following goals: :- Goal 1: The shipping solution should cost no more than 33200. I Goal 2: Meet at least 30% of the demand for Kiosk 1. I Goal 3: Meet at least 30% of the demand for Kiosk '2. a Goal 4: Meet at least 30% of the demand for Kiosk 3. a Goal 5: Meet at least 30% of the demand for Kiosk 4. Goals 3, 4, and 5 are twice as important as Goal 1. Goal 2 is twice as important as Goals 3, 4, and 5. {a} Formulate the nonpreemptive goal programming model for this scenario. Use integer variables
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