Transportation Problem: A semi-products manufacturer has 3 production facilities (X, Y, Z) and distributes its products to 3 various customers (K, L, M) from these production facilities. The daily production capacity of each production facility and the daily distribution costs are given in the below table. Daily demands of customers are 42, 27, and 33, respectively. Namely, in a day, customer K requires 42 units of products, customer L requires 27 units of products, and customer M requires 33 units of products. (a) Formulate a balanced transportation problem that could be used to determine how to minimize the total cost of meeting the demand of customers. The formulation should be in open form and decision variables should be defined as integer amounts. (b) Use LINGO/OPL/EXCEL to solve your model. Write down the results of the decision variables and the objective function. Explain the value of the decision variables. What do they mean? (c) Use the Northwest Corner method to find a basic feasible solution. Write down the results
Transportation Problem:
A semi-products manufacturer has 3 production facilities (X, Y, Z) and distributes its products to 3 various customers (K, L, M) from these production facilities. The daily production capacity of each production facility and the daily distribution costs are given in the below table. Daily demands of customers are 42, 27, and 33, respectively. Namely, in a day, customer K requires 42 units of products, customer L requires 27 units of products, and customer M requires 33 units of products.
(a) Formulate a balanced transportation problem that could be used to determine how to minimize the total cost of meeting the demand of customers. The formulation should be in open form and decision variables should be defined as integer amounts.
(b) Use LINGO/OPL/EXCEL to solve your model. Write down the results of the decision variables and the objective function. Explain the value of the decision variables. What do they mean?
(c) Use the Northwest Corner method to find a basic feasible solution. Write down the results of the decision variables and the objective function. Explain the value of the decision variables. What do they mean?
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