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A company manufactures machines in factories located in Newark and Indianapolis. These are shipped to regional distribution centers in Madison, Phoenix, and Cleveland. Ultimately, they

A company manufactures machines in factories located in Newark and Indianapolis. These are shipped to regional distribution centers in Madison, Phoenix, and Cleveland. Ultimately, they are delivered to supply houses in New York, Miami, and Los Angeles. The available supplies at the factories, the demands at the final destinations, and shipping costs are illustrated in the table below.

Find the shipping cost in the table.

Transshipment Destination
From Madison Phoenix Cleveland New York Los Angeles Miami Supply
Newark 4 6 3 - - 1900
Indianapolis 4 5 4 - - 2600
Madison - - - 4 7 9 -
Phoenix - - - 8 3 3 -
Cleveland - - - 3 6 5 -
Demand - - - 1250 2400 850

Formulate this transshipment problem as a linear program. (Solve Using Solver to Get Credit)

Let Node(1) = Newark, (2) = Indianapolis City, (3) = Madison, (4) = Phoenix, (5) = Cleveland, (6) = New York, (7) = Los Angeles, and (8) = Miami

Write variables of X as product moving from node 1 to 3 as X13

Questions:

1. What is the value of the objective function?

2. How many units is Miami receiving from Cleveland?

3. How many units is Indianapolis shipping to Madison?

4. How many units are "in and out" of the Cleveland transshipment node?

Group of answer choices

Question #1

[ Choose ] $30,000 400 2,400 0 650 $38,900 $28,500 200 $36,600 1,900 2,655 50 850 1,250 2,600 $31,500 $33,500 350

Question #2

[ Choose ] $30,000 400 2,400 0 650 $38,900 $28,500 200 $36,600 1,900 2,655 50 850 1,250 2,600 $31,500 $33,500 350

Question #3

[ Choose ] $30,000 400 2,400 0 650 $38,900 $28,500 200 $36,600 1,900 2,655 50 850 1,250 2,600 $31,500 $33,500 350

Question #4

[ Choose ] $30,000 400 2,400 0 650 $38,900 $28,500 200 $36,600 1,900 2,655 50 850 1,250 2,600 $31,500 $33,500 350

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