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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

16,000

2- Tulsa

----

6

9

13

13,000

3- Portland

500,000

11

8

5

13,000

4- St. Louis

450,000

8

3

10

10,000

5- Lexington

400,000

10

6

14

9,000

Demand

14,000

13,000

18,000

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)

The constraint x21 + x22 + x23 <= 13,000*y3 represents which of the following?

Group of answer choices

Supply from Houston

Supply from Portland

Demand at Kansas City

Supply from Tulsa

None of the others.

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