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MeiMei Co. is a manufacturer of electrical appliances with three manufactures in China's centra coast city Shanghai, a nearby city Kunshan, and Southern China city Shenzhen. Hong Kong is one of the major markets of MeiMei, and a big strike that MeiMei always faces involves the shipping cost to Hong Kong's market. To speed up the shipping and reduce the cost, three distribution centers has been set up in Hong Kong airport, where the appliances from different manufacture are assembled and further distributed to two VIP Customers, e.g. A&B, as well as a big wholesale market in ShumShuiPo District. Shown as follows, Table 5 gives the unit cost from manufactures to distribution centers, where the rightmost column describes the maximum production capacity of the manufactures. Table 6 gives the unit cost from distribution centers to VIP customers and the wholesaler, where the bottommost row describes the demand. Cost Distribution Distribution Distribution Maximum Production Center 12 Center 2 Center 34 Capacity (unit) Shanghai $30 $50 $452 250 Kunshan 254 34 402 180 Shenzhen 372 434 550 Table 5. Unit cost (per pound) from fields to distribution centers & production capacity Cost VIP Customer A VIP Customer B Wholesaler Distribution Center 14 $9.54 $2.92 Distribution Center 24 12.24 10.52 1.02 Distribution Center 34 15.02 30 Demand (unit) 1604 190 2002 Table 6. Unit cost (per pound) from distribution centers to markets & demand a) Draw a network model to describe MeiMei's distribution network. (9 marks) b) Due to the COVID-19, the shipping cost from Shanghai and Kunshan to the distribution centers increased significantly. Only the manufacturer in Shenzhen will be considered feasible. Moreover, MeiMei outsources the transshipment among the two centers to another company at a fixed cost, so that products can be transferred from center 2 to center 1 at the unit cost 1.5 per unit, and the unit cost for the shipment from center1 to center 2 is also the same. Solve the following shortest route problems. (i) Solve and write down the shortest route from field in Shenzhen to Wholesaler. What is the unit shipping cost? (3 marks) (ii) Solve and write down the shortest route from field in Shenzhen to VIP Customer A. What is the unit shipping cost? (3 marks) MeiMei Co. is a manufacturer of electrical appliances with three manufactures in China's centra coast city Shanghai, a nearby city Kunshan, and Southern China city Shenzhen. Hong Kong is one of the major markets of MeiMei, and a big strike that MeiMei always faces involves the shipping cost to Hong Kong's market. To speed up the shipping and reduce the cost, three distribution centers has been set up in Hong Kong airport, where the appliances from different manufacture are assembled and further distributed to two VIP Customers, e.g. A&B, as well as a big wholesale market in ShumShuiPo District. Shown as follows, Table 5 gives the unit cost from manufactures to distribution centers, where the rightmost column describes the maximum production capacity of the manufactures. Table 6 gives the unit cost from distribution centers to VIP customers and the wholesaler, where the bottommost row describes the demand. Cost Distribution Distribution Distribution Maximum Production Center 12 Center 2 Center 34 Capacity (unit) Shanghai $30 $50 $452 250 Kunshan 254 34 402 180 Shenzhen 372 434 550 Table 5. Unit cost (per pound) from fields to distribution centers & production capacity Cost VIP Customer A VIP Customer B Wholesaler Distribution Center 14 $9.54 $2.92 Distribution Center 24 12.24 10.52 1.02 Distribution Center 34 15.02 30 Demand (unit) 1604 190 2002 Table 6. Unit cost (per pound) from distribution centers to markets & demand a) Draw a network model to describe MeiMei's distribution network. (9 marks) b) Due to the COVID-19, the shipping cost from Shanghai and Kunshan to the distribution centers increased significantly. Only the manufacturer in Shenzhen will be considered feasible. Moreover, MeiMei outsources the transshipment among the two centers to another company at a fixed cost, so that products can be transferred from center 2 to center 1 at the unit cost 1.5 per unit, and the unit cost for the shipment from center1 to center 2 is also the same. Solve the following shortest route problems. (i) Solve and write down the shortest route from field in Shenzhen to Wholesaler. What is the unit shipping cost? (3 marks) (ii) Solve and write down the shortest route from field in Shenzhen to VIP Customer A. What is the unit shipping cost

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