You Doll & Doll has two facilities that source, procure raw material, manufacture, QAQC and initial Pack for delivery. The company distributes the toys from these two plants through two distribution centers (DCs) located at Wah & Jhelum, to three different customer regions namely, Islamabad, Rawalpindi, Lahore where the toys are packaged as per demand and sold.

Each plant has a maximum capacity for its weekly supply of toys. Likewise, each region has a minimum weekly demand for toys. Furthermore, distributer has asked to sell toys at their facility calling it factory outlets, so they havedemands as well. The cost to distribute a pallet of toys (100 toys per pallet) between each plant and region depends on the distances between them. The transportation costs, maximum supplies in the plants, and minimum demands intheregionsaresummarizedinthefollowingtables:

Origin Plant	Destination DC	Transportation Cost (Rs/Pallet of toys )
Plant 1	Wah	5600
Jhelum	4100
Plant 2	Wah	5200
Jhelum	4200

Origin DC	Destination Region	Transportation Cost (Rs/pallets of toys)
Wah	Lahore	7900
Rawalpindi	5200
Islamabad	4200

Jehlum	Lahore	4700
Rawalpindi	6500
Islamabad	6700

Plant	Maximum Supply (pallets of toys)
Plant 1	1300
Plant 2	1050

Region	Minimum Demand (pallets of toys)
Lahore	500
Rawalpindi	1000
Islamabad	350
Wah	100
Jhelum	150

In order to minimize total costs, Doll & Doll wishes to optimize the flow of toys from plants to DCs to regions to customers.

1. In the optimal solution, what is the minimum total cost of moving the toys from plant toDCs?
2. WhatistotaltransportationcostofmovingthetoysfromDCstoregions?
3. What is total transportation cost of moving the toys from plant toregions?

Answer rating: 100% (QA)

To find the minimum total cost of moving the toys from plants to DCs we need to calculate the transportation cost for each possible route and then det... View the full answer