CUET CUET Mathematics 2024 - The corner points of the feasible region for an L.P.P. are (0,10),(5,5),(5,15) and (0,30). If the objective function is Z= x+ y, , >0, the condition on and so that maximum of Z occurs at corner points (5,5) and (0,20) is : | PYQs + Solutions | AfterBoards
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CUET Mathematics 2024

Algebra
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Linear Programming

Medium

The corner points of the feasible region for an L.P.P. are (0,10),(5,5),(5,15)(0,10),(5,5),(5,15) and (0,30)(0,30). If the objective function is Z=αx+βy,α,β>0Z=\alpha x+\beta y, \alpha, \beta>0, the condition on α\alpha and β\beta so that maximum of ZZ occurs at corner points (5,5)(5,5) and (0,20)(0,20) is :

Correct Option: 3
.

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CUET Mathematics 2024

The corner points of the feasible region determined by x+y≤8,2x+y≥8,x≥0,y≥0x+y \leq 8, 2 x+y \geq 8, x \geq 0, y \geq 0 are A(0,8),B(4,0)A(0,8), B(4,0) and C(8,0)C(8,0). If the objective function Z=ax+Z=a x+ by has its maximum value on the line segment ABA B, then the relation between aa and bb is :

CUET Mathematics 2024

An objective function Z=ax+byZ=a x+b y is maximum at points (8,2)(8,2) and (4,6)(4,6). If a≥0a \geq 0 and b≥0b \geq 0 and ab=25a b=25, then the maximum value of the function is equal to :

CUET Mathematics 2024

Which one of the following represents the correct feasible region determined by the following constraints of an LPP? \newline x+y≥10,2x+2y≤25,x≥0,y≥0x+y \geq 10,2 x+2 y \leq 25, x \geq 0, y \geq 0

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