Need Solution for this Case Study using principles of Supply Chain Management.

Potatocs are grown and harvested on farms in the Midwest and then shipped to distribution centers in Kansas City, Omaha, and Des Moines where they are cleaned and sorted. These distribution centers supply threc manufacturing.plants operated by the Frodo-Lane Foods Company, located in Chicago, St, Louis, and Cincinnati, where they make potato chips. Potatocs are shipped to the manufacturing plants by railroad or truck. Each distribution center is able to supply the following tons of potatoes to the plants on a monthly basis: Each plant demands the following tons of potatoes per month: The cost of transporting 1 ton of potatoes from each distribution center (source) to each plant (destination) differs according to the distance and method of transport. These costs are shown next. For example, the cost of shipping 1 ton of potatoes from the distribution center at Omaha to the plant at Chicago is $7. The problem is to determine how many tons of potatoes to transport from each distribution center to each plant on a monthly basis to minimize the total cost of transportation. A diagram of the different transportation routes with supply, demand, and cost figures is given in Figure S1