QUESTION 1: Recall the Goodwin Manufacturing Company problem we did in class. Now, suppose that each shipping route must be used, and, in particular, that the shipment volume on any route out of a plant must be at least 20% of the total volume leaving that plant. For example, if 10,000 cartons are sent from Minneapolis, then at least 20% (2,000) cartons must be sent from Minn to Atlanta, from Minn to Boston, from Minn to Chicago, and from Minn to Denver. Note this means the solution we saw in class, wherein 0 cartons are sent Minn - ATL is no longer allowed. Now what is the total cost?

QUESTION 2: Suppose the per-unit transportation cost from Minn to Denver increases to $.45. Now what is the minimum total cost?

QUESTION 3: Suppose they can add 1,000 units of capacity to one plant. Which plant should they choose in order to minimize their total costs?

The Goodwin manufacturing company is planning next week's shipments from its three manufacturing plants to its four distribution warehouses and is seeking a minimum-cost shipping schedule. Each plant has a potential capacity, expressed in cartons of product, and each warehouse has a demand requirement for the week that must be met. 1. a) Please formulate this problem as a LP to find the minimum shipping cost while satisfying the capacity and the demands. MUST define the decision variables first! Then, identify the objective function and constraints. 1. b) Solve the problem using UNDO or Solver and attach the output. 1. c) Please EXPLAIN your shipping plan