Seoul's company produces medical equipment for diagnosing tuberculosis in four factories. Four partner hospitals on Jeju Island have placed orders for production this month. The table below shows the cost of shipping each unit from each factory to each hospital, the number of units to be produced at each factory and the number of units ordered by each hospital. Managers and Leaders of Seoul’s company aim to minimize the total cost of shipping by determining how many units will be shipped from each factory to each hospital. Based on this case: a) Formulate a linear programming model for this problem! b) Determine the optimal solution for this model using the North West Corner transportation method, the Vogel Method and the Stepping-Stone!
Seoul's company produces medical equipment for diagnosing tuberculosis in four factories. Four partner hospitals on Jeju Island have placed orders for production this month. The table below shows the cost of shipping each unit from each factory to each hospital, the number of units to be produced at each factory and the number of units ordered by each hospital.
Managers and Leaders of Seoul’s company aim to minimize the total cost of shipping by determining how many units will be shipped from each factory to each hospital. Based on this case:
a) Formulate a linear programming model for this problem!
b) Determine the optimal solution for this model using the North West Corner transportation method, the Vogel Method and the Stepping-Stone!
c) Make a dual equation for the above case and analyze the shadow price using the software (Lingo/Lindo)!
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