REQUIRED:(a) Draw a network that depicts the company's supply network. Identify the supply nodes, transshipment nodes,and demand nodes in this network.(b) Formulate an optimization model to solve this problem. (Set-up only the objective function and the Constrainsdo not solve)1QuestionThe Audiofile Company produces boomboxes. However, management has decided tosubcontract out the production of the speakers needed for the boomboxes. Three vendorsare available to supply the speakers. Their price for each shipment of 1,000 speakers isshown belowVendor123In addition, each vendor would charge a shipping cost. Each shipment would go to one ofthe company's two warehouses. Each vendor has its own formula for calculating thisshipping cost based on the mileage to the warehouse. These formulas and the mileagedata are shown belowVendor123Vendor23Warehouse 1Price$22,500$22,700$22,300Charge per shipment$300+0.40/m$200+050/mle$500+0.20/mile1600 miles500 miles2,000 milesWarehouse 1Warehouse 2Monthly demandWarehouse 2400 miles600 miles1,000 mWhenever one of the company's two factories needs a shipment of speakers to assembleinto the boomboxes, the company hires a trucker to bring the shipment in from one of thewarehouses. The cost per shipment is given in the next column, along with the number ofshipments needed per month at each factory.Unit Shipping CostFactory 1$200$40010Each vendor is able to supply as many as 10 shipments per month. However, because ofshipping limitations, each vendor is able to send a maximum of only & shipments per monthto each warehouse Similarly, each warehouse is able to send a maximum of onlyshipments per month to each factory Management now wants to develop a plan for eachmonth regarding how many shipments if any) to order from each vandor, how many ofthose shipments should go to each warehouse, and then how many shipments eachwarehouse should send to each factory. The objective is to minimize the sum of thepurchase costs (including the shipping charge and the shipping costs from the warehousesto the factories.Unit Shipping CostFactory 2$700$5004Draw a network that depicts the company's supply network Identify the supply nodes.transhipment nodes, and demand nodes in this network(b) Formulate an optimization model to solve this problem (Set-up only the objectivefunction and the Constrains do not solve)

Answered: Image /qna-images/answer/4fc5b4ee-61ef-4fc2-b2ce-7c66fc4f5fd2.jpg

Answered: REQUIRED: a) Draw a network that…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter6: Optimization Models With Integer Variables

Section6.5: Set-covering And Location-assignment Models

Problem 34P

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