he Midvale Sand and Gravel Company desires to allocate its products (load) to their three projects from their three warehouses. The three warehouses, designated as A, B, and C have a capacity of 51, 23, and 38 respectively. The three projects, designated as D, E, and F have a demand of 46, 40 and 26 respectively. The shipping costs per load to its destination are as follows: From A to its projects are 4, 9 and 2 respectively; From B to its projects are 3, 5 and 8 respectively; and From C to its projects are 6, 2 and 5 respectively. 1. Show the Network presentation of the company. 2. Formulate the objective functions and constraints only using the Linear Programming Model. The objective is to minimize the total transportation costs. 3. Find the optimal solution using the NWC and stepping stone method.
he Midvale Sand and Gravel Company desires to allocate its products (load) to their three projects from their three warehouses. The three warehouses, designated as A, B, and C have a capacity of 51, 23, and 38 respectively. The three projects, designated as D, E, and F have a demand of 46, 40 and 26 respectively. The shipping costs per load to its destination are as follows: From A to its projects are 4, 9 and 2 respectively; From B to its projects are 3, 5 and 8 respectively; and From C to its projects are 6, 2 and 5 respectively. 1. Show the Network presentation of the company. 2. Formulate the objective functions and constraints only using the Linear Programming Model. The objective is to minimize the total transportation costs. 3. Find the optimal solution using the NWC and stepping stone method.
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