1. In a linear programming pro- binding constraints for the opt solution are 5X + 3Y ≤ 30 2X +5Y ≤ 20

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Author:Erwin Kreyszig
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1. In a linear programming problem, the
binding constraints for the optimal
solution are
5X + 3Y ≤ 30
2X + 5Y ≤ 20
a. Fill in the blanks in the following
sentence:
As long as the slope of the objective
function stays between
the current
optimal solution point will remain
optimal.
and
b. Which of these objective functions will
lead to the same optimal solution?explain
1) 2X + 1Y 2) 7X + 8Y 3) 80X + 60Y 4) 25X
+ 35Y
Transcribed Image Text:1. In a linear programming problem, the binding constraints for the optimal solution are 5X + 3Y ≤ 30 2X + 5Y ≤ 20 a. Fill in the blanks in the following sentence: As long as the slope of the objective function stays between the current optimal solution point will remain optimal. and b. Which of these objective functions will lead to the same optimal solution?explain 1) 2X + 1Y 2) 7X + 8Y 3) 80X + 60Y 4) 25X + 35Y
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