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

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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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 ($)
Steel 2
40
30
20
Write down the problem formulation !
Steel 3
28
30
20
Time
(minutes)
20
16
15
a.
b. Write down your conclusion !
8. Write down the formal LP Formulation from Problem No. 7.
Solve the LP formulation from No.8 by using Excel Solver !
9.
10. Compare Problem No. 7's solution and Problem No. 9's solution, and then
explain your conclusion !
Transcribed Image Text:7. Solve the following problem by using Solver in your spreadsheet: Steelco manufactures three types of steel at different plants. The time required to manufacture 1 ton of steel (regardless of type) and the costs at each plant are shown in Table 8. Each week, 100 tons of each type of steel (1, 2, and 3) must be produced. Each plant is open 40 hours per week. Formulate a balanced transportation problem to minimize the cost of meeting Steelco's weekly requirements. TABLE 8 Plant 1 2 3 Steel 1 60 50 43 Cost ($) 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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