5. A construction firm has supply centers located in Atlanta, Chicago, and New York City. These centers have available 50, 30, and 40 units of a particular resource, respectively. The firm's job sites require the following number of units: Cleveland, 25; Louisville, 10; Memphis, 20; Pittsburgh, 30; and Richmond, 15. The shipping cost per unit in dollars between each center and job site is given in the following table: To Cleveland To Louisville To Memphis To Pittsburgh To Richmond From Atlanta 55 30 40 50 40 From Chicago 35 30 100 45 60 40 60 95 35 30 From New York Required: Solve for the minimum total shipping cost. Discuss the shadow price if we can increase the available resource in New York by 1 unit. Prove your answer by running solver