A company produces a product at two manufacturing plants. The product is then shipped to warehouses in

Question:

A company produces a product at two manufacturing plants. The product is then shipped to warehouses in Fort Worth, Chicago, and Fresno. The cost of shipping from the plants to the warehouses is indicated in the following cost matrix. The amount that can be produced each week at the plants and the weekly demands at the warehouses are also shown. Determine the shipping schedule that minimizes the total cost of delivering the product from the plants to the warehouses, ensuring that each warehouse receives its weekly demand and that each plant does not exceed its weekly production supply.

Production FacilityWeekly Supply Capacity (in units)
Plant 1€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦..4000
Plant 2€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦..2000
Warehouse€¦€¦€¦€¦.Demand
Fort Worth€¦€¦€¦€¦.1500
Chicago€¦€¦€¦€¦.3500
Fresno€¦€¦€¦€¦.1000
Determine the optimal shipping plan for the company.