7. Solve the following problem by using Solver in your spreadsheet: Steelco manufactures three types of steel at different plants. The time required to manufacture 1 ton of steel (regardless of type) and the costs at each plant are shown in Table 8. Each week, 100 tons of each type of steel (1, 2, and 3) must be produced. Each plant is open 40 hours per week. Formulate a balanced transportation problem to minimize the cost of meeting Steelco's weekly requirements. TABLE 8 Plant 1 2 3 Steel 1 60 50 43 Cost (S) Steel 2 a. b. Write down your conclusion ! 40 30 20 Write down the problem formulation ! Steel 3 28 30 20 Time (minutes) 20 16 15
7. Solve the following problem by using Solver in your spreadsheet: Steelco manufactures three types of steel at different plants. The time required to manufacture 1 ton of steel (regardless of type) and the costs at each plant are shown in Table 8. Each week, 100 tons of each type of steel (1, 2, and 3) must be produced. Each plant is open 40 hours per week. Formulate a balanced transportation problem to minimize the cost of meeting Steelco's weekly requirements. TABLE 8 Plant 1 2 3 Steel 1 60 50 43 Cost (S) Steel 2 a. b. Write down your conclusion ! 40 30 20 Write down the problem formulation ! Steel 3 28 30 20 Time (minutes) 20 16 15
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:7. Solve the following problem by using Solver in your spreadsheet: Steelco
manufactures three types of steel at different plants. The time required to
manufacture 1 ton of steel (regardless of type) and the costs at each plant are
shown in Table 8. Each week, 100 tons of each type of steel (1, 2, and 3) must be
produced. Each plant is open 40 hours per week.
Formulate a balanced transportation problem to minimize the cost of meeting
Steelco's weekly requirements.
TABLE 8
Plant
1
2
3
Steel 1
60
50
43
Cost ($)
Steel 2
40
30
20
Write down the problem formulation !
Steel 3
28
30
20
Time
(minutes)
20
16
15
a.
b. Write down your conclusion !
8. Write down the formal LP Formulation from Problem No. 7.
Solve the LP formulation from No.8 by using Excel Solver !
9.
10. Compare Problem No. 7's solution and Problem No. 9's solution, and then
explain your conclusion !
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