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. Denver 1 1- 2- 3- 4- Sources 5- Houston Tulsa Construction Cost Kansas City 2 Portland 500,000 St. Louis 450,000 Lexington 400,000 Demand Shipping Cost to Destination: Capacity Seattle 3 6 6 11 8 10 8 9 8 3 6 7 13 5 10 14 16,000 13,000 13,000 10,000 9,000 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 |y₁ = 1 if plant i is built, = 0 otherwise (1 = 3, 4, 5) The constraint x21 + x22 + x23 <= 13,000*y3 represents which of the following? Group of answer choices Supply from Tulsa Demand at Kansas City None of the others. Supply from Houston Supply from Portland

Practical Management Science
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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 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.
Denver
1
1-
2-
3-
Sources
4-
5-
Houston
Tulsa
Portland
Construction
St. Louis
Cost
Kansas City
2
----
1
Shipping Cost to Destination: Capacity
Seattle
3
6
6
500,000
450,000
Lexington 400,000
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
y₁ = 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 Tulsa
Demand at Kansas City
None of the others.
Supply from Houston
Supply from Portland
11
8
8
10
9
8
3
7
6
13
5
10
16,000
13,000
14
13,000
10,000
9,000
Transcribed Image Text: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. Denver 1 1- 2- 3- Sources 4- 5- Houston Tulsa Portland Construction St. Louis Cost Kansas City 2 ---- 1 Shipping Cost to Destination: Capacity Seattle 3 6 6 500,000 450,000 Lexington 400,000 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 y₁ = 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 Tulsa Demand at Kansas City None of the others. Supply from Houston Supply from Portland 11 8 8 10 9 8 3 7 6 13 5 10 16,000 13,000 14 13,000 10,000 9,000
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