A manufacturing company has three manufacturing plants located throughout the country. The company supplies four major wholesalers distributed throughout the country with a product made at these three plants. The manufacturing cost is $13 per unit at plant A, $11 per unit at plant B, and $12 per unit at plant C. The shipping cost between each plant and each wholesaler is given here. The units demanded by each wholesaler are also listed, along with the production capacity at each manufacturing plant. The company wishes to satisfy the demands of each wholesaler at minimum total cost (production plus shipping). However, no plant should be operating at less than 60% of its capacity.

a. Formulate a linear program to solve the company’s problem.
b. Solve the problem using a computer.