Question:medium
Consider the linear programming problem:
Maximize: \(z = \alpha x + 6y\)
Subject to the constraints
\(3x + 2y \leq 60\)
\(x + 2y \leq 40\)
\(x, y \geq 0\)
If every point in the line segment joining (20, 0) and (10, 15) is optimal solution of the L.P.P, then the value of \(\alpha\) is equal to
Consider the linear programming problem:
Maximize: \(z = \alpha x + 6y\)
Subject to the constraints
\(3x + 2y \leq 60\)
\(x + 2y \leq 40\)
\(x, y \geq 0\)
If every point in the line segment joining (20, 0) and (10, 15) is optimal solution of the L.P.P, then the value of \(\alpha\) is equal to
Maximize: \(z = \alpha x + 6y\)
Subject to the constraints
\(3x + 2y \leq 60\)
\(x + 2y \leq 40\)
\(x, y \geq 0\)
If every point in the line segment joining (20, 0) and (10, 15) is optimal solution of the L.P.P, then the value of \(\alpha\) is equal to
Show Hint
When multiple optimal solutions exist, the objective function is parallel to the corresponding constraint.
Updated On: Apr 24, 2026
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