A manufacturing company has 2 factories to make their products. Factory 1 has 180 worker- hours...

 

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A manufacturing company has 2 factories to make their products. Factory 1 has 180 worker- hours per week, while Factory 2 has 160. The company produces 3 products in their factories, which we denote as P1, P2 and P3. It takes 2 worker-hours to produce 1 unit of P1, 4 workers-hour for a unit of P2, and 2 worker-hours for a unit of P3. Each worker-hour that you use costs $20 in Factory 1, and $10 in Factory 2. The demands for the 3 products for the next week are 40 units of P1, 40 units of P2, and 60 units of P3. Graphically formulate a transportation problem that can be used to minimize the costs given the above product demands. Define your decision variables, and clearly label the supply/demand for each node, and the cost for each arc. A manufacturing company has 2 factories to make their products. Factory 1 has 180 worker- hours per week, while Factory 2 has 160. The company produces 3 products in their factories, which we denote as P1, P2 and P3. It takes 2 worker-hours to produce 1 unit of P1, 4 workers-hour for a unit of P2, and 2 worker-hours for a unit of P3. Each worker-hour that you use costs $20 in Factory 1, and $10 in Factory 2. The demands for the 3 products for the next week are 40 units of P1, 40 units of P2, and 60 units of P3. Graphically formulate a transportation problem that can be used to minimize the costs given the above product demands. Define your decision variables, and clearly label the supply/demand for each node, and the cost for each arc.

Answer rating: 100% (QA)

Transportation Problem Graph for Production Cost Minimization Nodes F1 F2Factories Supply nodes P1 P... View the full answer