Question 1: Part 1-4 (Graph Above)

1.Find an initial feasible solution to this problem using the North-South Rule solution technique. Show your solution in the table above. What are the pros and cons of this solution method? What is the total cost?

2. Now find an initial feasible solution using the Difference method in the table below. What is the cost of this solution? How does this compare to the solution found in question 1?

3. For the solution shown below, is it worth it to ship units from Chicago to LA? Show all work and explain your answer. If you do ship units via this route, how many would you ship? If not, why not?

4.For this problem, write a complete linear programming formulation including the objective function and all constraints.

1. (60 points) Forbelt Corporation has a 1-year contract to supply motors for all refrigerators produced by the Ice Age Corporation. Ice Age manufactures the refrigerators at four locations around the country: Boston, Dallas, Los Angeles and St. Paul. Forbelt has three plants that are capable of producing the motors. The plants and their capacities along with the destinations and demands are shown in the chart below. The shipping costs vary between different pairs of plants and destinations. The cost of shipping one unit from each plant to each destination is given below. St. Paul Ice Age Forbel Destin Boston Dallas | Los Plant Denver Atlanta 6 : 10 8 5 2 Capacity 100 100 Chicago Demand 50 75 60 100