In a linear program to maximize Profit = 125X, + 10o0x2, under which of the following circumstances will there be multiple optimal solutions? (Assume that X, is the horizontal axis and X2 is the vertical axis) %3D No circumstance exists. A LP must have a unique optimal solution There is a binding constraint with slope - 1.25. O There is a redundant constraint that has the same slope as the profit function. There is a non-binding constraint with slope= 0.80.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 39E
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In a linear program to maximize Profit = 125X, + 100X2, under which of the following circumstances will
there be multiple optimal solutions? (Assume that X, is the horizontal axis and X, is the vertical axis)
No circumstance exists. A LP must have a unique optimal solution
There is a binding constraint with slope - 1.25.
O There is a redundant constraint that has the same slope as the profit function.
There is a non-binding constraint with slope = 0.80.
Transcribed Image Text:In a linear program to maximize Profit = 125X, + 100X2, under which of the following circumstances will there be multiple optimal solutions? (Assume that X, is the horizontal axis and X, is the vertical axis) No circumstance exists. A LP must have a unique optimal solution There is a binding constraint with slope - 1.25. O There is a redundant constraint that has the same slope as the profit function. There is a non-binding constraint with slope = 0.80.
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