answer for the part "b"

fomulate an optimization model to solve radio shack's problem.

The Radio Shack Company produces boombox radios. However, management has decided to subcontract out the production of the speakers needed for the boomboxes. Three vendors are available to supply the speakers. Their price for each shipment of 1,000 speakers is shown below. Vendor Price 1 $22,500 2 $22,700 3 $22,300 In addition, each vendor would charge a shipping cost. Each shipment would go to one of the company's two warehouses. Each vendor has its own formula for calculating this shipping cost based on the mileage to the warehouse as shown in the table below. Vendor Charge per shipment Vendor Warehouse 1 Warehouse 2 1 $300 + $0.40 per mile 1 1,600 miles 400 miles 2 $200 + $0.50 per mile 2 500 miles 600 miles 3 $500 + $0.20 per mile 3 2.000 miles 1,000 miles Whenever one of the company's two factories needs a shipment of speakers, the company hires a trucker to bring the shipment from one of the two warehouses. The cost per shipment is given in the next table along with the number of shipments needed per month at each factory, Factory 1 Factory 2 Warehouse 1 $200 S700 Warehouse 2 $400 S500 Monthly demand 10 Each vendor can supply as many as 10 shipments per month. However, because of shipping limitations, each vendor is able to send a maximum of only 6 shipments per month to each warehouse. Similarly, each warehouse is able to send a maximum of only 6 shipments per month to each factory. Management wants to develop a plan for each month regarding how many shipments should go to each warehouse, and then how many shipments each warehouse should send to each factory. The obje is to minimize total cost (the sum of the purchase costs and all shipping costs). Draw a network representation that depicts Radio Shack's supply network. Identify all nodes (and include their net supply/demand data). Also include all cost and capacity information on the network diagram. b. Formulate an optimization model to solve Radio Shack's problem. 6 a