(a) Formulate a linear programming model for this problem. c (b) Solve this model by the simplex method.
(a) Formulate a linear programming model for this problem. c (b) Solve this model by the simplex method.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
Problem 31P
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Transcribed Image Text:3.4-14. The Metalco Company desires to blend a new alloy of 40
percent tin, 35 percent zinc, and 25 percent lead from several avail-
able alloys having the following properties:
Alloy
Property
1
2
3
4
5
Percentage of tin
Percentage of zinc
Percentage of lead
60
25
45
20
50
10
15
45
50
40
30
60
10
30
10
Cost ($/lb)
77
70
88
84
94
The objective is to determine the proportions of these alloys that
should be blended to produce the new alloy at a minimum cost.
(a) Formulate a linear programming model for this problem.
c (b) Solve this model by the simplex method.
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