Question: Hansen Controls has been awarded a contract for a large number of control panels. To meet this demand, it will use its existing plants in

Hansen Controls has been awarded a contract for a large number of control panels. To meet this demand, it will use its existing plants in Houston and Tulsa, and consider new plants in Portland, St. Louis and Lexington. Finished control panels are to be shipped to Denver, Kansas City and Seattle. Pertinent information is given in the table.

Sources

Construction

Cost

Shipping Cost to Destination:

Capacity

Denver

1

Kansas City

2

Seattle

3

1- Houston ---- 6 8 7 14,000
2- Tulsa ---- 6 9 13 9,000
3- Portland 500,000 11 8 5 11,000
4- St. Louis 450,000 8 3 10 8,000
5- Lexington 400,000 10 6 14 10,000
Demand 11,000 10,000 15,000

We develop a transportation model as an LP that includes provisions for the fixed costs (construction costs in this case) for the three new plants. The solution of this model would reveal which plants to build and the optimal shipping schedule.

Let xij = the number of panels shipped from source i to destination j
yi = 1 if plant i is built, = 0 otherwise (i = 3, 4, 5)

What is the minimum construction budget needed to make sure this problem has a feasible solution?

500,000

950,000

850,000

400,000

450,000

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