Operations Research Assignment Essay Example

Three individuals currently selling in the Midwest and the East are being considered for promotion to regional sales manager positions in the new sales territories. Management has estimated total annual sales (in thousands of dollars) for the assignment of each individual to each sales territory.

Formulate and solve a linear programming model to obtain the optimal solution.

1. Fowl Marketing Research has four project leaders available for assignment to four clients. Find the assignment of project leaders to clients that will minimize the total time to complete all projects. The estimated project completion times in days are as follows: Clients Terry 10 1599 Carla 9 18 58 Uncommonly 6 14 3 7 Fleetly 8 1669
2. Adirondack Paper Mills, Inc. Has paper plants in Augusta, Maine and Topper Lake, New York. Warehouse facilities are located in Albany, New York, and Portsmouth, New

Hampshire. Distributors are located in Boston, New York, and Philadelphia. The plant capacities and distributor demands for the next month are as follows: The unit transportation costs ($) for shipments from the two plants to the two warehouses and from the two warehouses to the three distributors are as follows: Warehouse Distributor Plant Albany Portsmouth Warehouse Boston New York Philadelphia

Draw the network representation of the Adirondack Paper Mills problem. B. Formulate the Adirondack Paper Mills problem as a linear programming problem. C. Determine the minimum-cost shipping schedule for the problem. 6. Consider a transshipment problem consisting of three origin nodes, two transshipment nodes, and four destination nodes. The supplies at the origin nodes and the demands at the destination nodes are as follows: Origin Supply

The Moore & Herman Company is in the business

of buying and selling grain. An important aspect of the company's business is arranging for the purchased grain to be shipped to customers. If the company can keep freight costs low, profitability will be improved. Currently, the company has purchased three rail cars of grain at Muncie, Indiana, six rail cars at Brazil, Indiana; and five rail cars at Xenia, Ohio. Twelve carloads of grain have been sold.

All shipments must be routed through either Louisville or Cincinnati. Shown are the shipping costs per bushel (in cents) from the origins to Louisville and Cincinnati and the cost per bushel to ship from Louisville and Cincinnati to the destinations. Cost per bushel from Cincinnati to Greenwood is 35 cents Determine shipping schedule that will minimize freight cost necessary to satisfy demand.