CCET, a local consumer electronics producer, has decided to subcontract out the production of its LCD monitor product to outside vendor. Three vendors are capable of the task, and their price for each shipment of 1,000 monitors is shown below: Vendor Price A $27,500 B $22,700 $22.300 Each shipment would go to one of the company's two warehouses. In addition to the price for each shipment, each vendor would charge a shipping cost for which it has its own formula based on the mileage to the warehouse. These formulas and the mileage data are shown below: Warehouse Charge per Shipment Warehouse 2 Vendor A $300 +$0.40/mile 1,600 miles 300 miles $200 +$0.50/mile B 500 miles 600 miles B $200 +$0.50/mile 500 miles 600 miles C c $500 +$0.20/mile 1,000 miles 1,000 miles Whenever one of the company's two stores needs a shipment of LCD monitors, the company hires a trucker to bring the shipment in from one of the warehouses. The cost per shipment is given next, along with the number of shipments needed per month at each factory. Cost per Shipment Vendor Store 1 Store 2 Warehouse 1 200 700 Warehouse 2 400 500 Monthly demand 10 9 Each vendor is able to supply as many as 10 shipments per month. However, because the shipping limitations, each vendor is only able to send a maximum of six shipment to each warehouse Similarly, each warehouse is only able to send a maximum of six shipments per month to each store Monthly demand 10 9 Each vendor is able to supply as many as 10 shipments per month. However, because the shipping limitations, each vendor is only able to send a maximum of six shipment to each warehouse. Similarly, each warehouse is only able to send a maximum of six shipments per month to each store This problem is a variant of a minimum-cost flow because the supply from each vendor is a maximum of 10 rather than a fixed amount of 10. Formulate a model to determine how many shipments should go to each warehouse, and then how many shipments each warehouse should send to the each store. The objective is to minimize the total shipping cost. Which one of the following is a decision variable? flow from vendor A to Wholesale 1 E flow from vendor A to Store 1 flow from vendor A to Store 2 CCET, a local consumer electronics producer, has decided to subcontract out the production of its LCD monitor product to outside vendor. Three vendors are capable of the task, and their price for each shipment of 1,000 monitors is shown below: Vendor Price A $27,500 B $22,700 $22.300 Each shipment would go to one of the company's two warehouses. In addition to the price for each shipment, each vendor would charge a shipping cost for which it has its own formula based on the mileage to the warehouse. These formulas and the mileage data are shown below: Warehouse Charge per Shipment Warehouse 2 Vendor A $300 +$0.40/mile 1,600 miles 300 miles $200 +$0.50/mile B 500 miles 600 miles B $200 +$0.50/mile 500 miles 600 miles C c $500 +$0.20/mile 1,000 miles 1,000 miles Whenever one of the company's two stores needs a shipment of LCD monitors, the company hires a trucker to bring the shipment in from one of the warehouses. The cost per shipment is given next, along with the number of shipments needed per month at each factory. Cost per Shipment Vendor Store 1 Store 2 Warehouse 1 200 700 Warehouse 2 400 500 Monthly demand 10 9 Each vendor is able to supply as many as 10 shipments per month. However, because the shipping limitations, each vendor is only able to send a maximum of six shipment to each warehouse Similarly, each warehouse is only able to send a maximum of six shipments per month to each store Monthly demand 10 9 Each vendor is able to supply as many as 10 shipments per month. However, because the shipping limitations, each vendor is only able to send a maximum of six shipment to each warehouse. Similarly, each warehouse is only able to send a maximum of six shipments per month to each store This problem is a variant of a minimum-cost flow because the supply from each vendor is a maximum of 10 rather than a fixed amount of 10. Formulate a model to determine how many shipments should go to each warehouse, and then how many shipments each warehouse should send to the each store. The objective is to minimize the total shipping cost. Which one of the following is a decision variable? flow from vendor A to Wholesale 1 E flow from vendor A to Store 1 flow from vendor A to Store 2
