Amber Ale Brewing Co. operates brewing and packaging plants in Richmond, Virginia and Charlotte, NC. Warehouse facilities are located in Lynchburg, Virginia and Raleigh, NC. Distributors are located in Myrtle Beach, Virginia Beach, and Baltimore. The Plant capacities and Distributor demands for the next month are as follows: Plant Capacities (Unit) Richmond 300K Charlotte 100K Distributor Demand (Unit) Baltimore 150K Virginia Beach 100K Myrtle Beach 150K The unit transportation costs (in dollars) for shipment from the two plants to the two warehouses and from the two warehouses to the three distributors are as follows: Warehouse Plant Lynchburg Raleigh Charlotte 7 5 Richmond 3 4 Distributors Warehouse Baltimore Virginia Beach Myrtle Beach Lynchburg 7 5 8 Raleigh 10 6 5 A) Draw the network representation of the Amber Ale Co. problem B) Formulate the Amber Ale Co problem as a linear programming problem C) Solve the linear program to determine the minimum cost shipping schedule for the problemAmber Ale Brewing Co. operates brewing and packaging plants in Richmond, Virginia and Charlotte, NC. Warehouse facilities are located in Lynchburg, Virginia and Raleigh, NC. Distributors are located in Myrtle Beach, Virginia Beach, and Baltimore. The Plant capacities and Distributor demands for the next month are as follows: Plant Capacities (Unit) Richmond 300K Charlotte 100K Distributor Demand (Unit) Baltimore 150K Virginia Beach 100K Myrtle Beach 150K The unit transportation costs (in dollars) for shipment from the two plants to the two warehouses and from the two warehouses to the three distributors are as follows: Warehouse Plant Lynchburg Raleigh Charlotte 7 5 Richmond 3 4 Distributors Warehouse Baltimore Virginia Beach Myrtle Beach Lynchburg 7 5 8 Raleigh 10 6 5 A) Draw the network representation of the Amber Ale Co. problem B) Formulate the Amber Ale Co problem as a linear programming problem C)
Solve the linear program to determine the minimum cost shipping schedule for the problem