The Des Moines plant of Tri-B Corp. has three fabrication departments with each producing a single unique product with equipment that is dedicated solely to its product. The three products are moved to four assembly departments where they are assembled. Although any of the three products can be processed in any of the assembly departments, the materials handling and assembly costs are different because of the varying distances between departments and because of different equipment. Each fabrication and assembly department has a different monthly capacity, and it is desirable that each department operate at capacity. The variable costs and capacity for each department are shown below.





How many units of each product should be moved from each fabrication department to each assembly department to minimize total monthly costs? (Use the minimum cost method to find an initial feasible solution and the transportation simplex method to find an optimal solution.) Compute the optimal total monthly cost.


Dept. A to Dept. 4 = 9000 units
Dept. B to Dept. 3 = 14,000 units
Dept. B to Dept. 4 = 3000 units
Dept. C to Dept. 1 = 3000 units
Dept. C to Dept. 2 = 10,000 units
Dept. C to Dept. 3 = 1000 units
Total shipping cost = $23,500.00

Business

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