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Develop a transportation problem with (4) origin notes and (5) destination notes. List all variables in...

Develop a transportation problem with (4) origin notes and (5) destination notes. List all variables in the same manner as found in the text, along with the goal and constraints.

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AllTrans Inc is a Delaware based company who specializes in transporting toys for its client Happy Faces Inc, situated in Connecticut. The firm is given a contract to transport the toys consignments from 4 of its strategic source locations to 5 of its destinations. The source locations are Virginia (VA), Delaware (DE), Massachusetts (MA) and New York (NY). The destination states are California (CA), Orlando (OR), Idaho (ID), Washington (WA) and Nevada (NV). There are two intermediate locations in between the routes where the products have to be shipped first and then they get sourced to their respective locations - Texas (TX) and Nebraska (NE). The source locations have their respective supply capacity as shown in the diagram. The destination locations have their demand capacity as shown in the figure-1 below. Also, the handling capacity of the intermediate stations is 100 units. Assuming every location from source to intermediate has a distance of 1250 air miles. Similarly, assume that every location from intermediate to the destination has a distance of 1250 air miles. The cost to ship a box of 10 toys is $1 per air miles.

Solve this transportation problem with a view to minimizing the Cost of transportation.

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