KCET 2026 | Linear Programming Question 1 | Mathematics

In Linear Programming Problem (LPP), the objective function $Z = ax + by$ has the same maximum value at two corner points. The number of points at which $Z_{max}$ occurs is

$1$

$2$

$0$

Infinity

KCET 2026

MCQ (Single Correct Answer)

-0

The corner points of the feasible region determined by the system of linear constraints are $(0, 10), (5, 5), (15, 15), (0, 20)$. Let $z = px + qy$ where $p, q > 0$. The relation between $p$ and $q$, so that the maximum $z$ occurs at both points $(15, 15)$ and $(0, 20)$ is

$p = q$

$p = 2q$

$q = 2p$

$q = 3p$

KCET 2025

MCQ (Single Correct Answer)

-0

Consider the following statements:

Statement (I): In a LPP, the objective function is always linear.

Statement (II): Ina LPP, the linear inequalities on variables are called constraints. Which of the following is correct?

Statement (I) is true, Statement (II) is true

Statement (I) is true, Statement (II) is false

Both Statements (I) and (II) are false

Statement (I) is false, Statement (II) is true

KCET 2025

MCQ (Single Correct Answer)

-0

The maximum value of $\mathrm{z}=3 \mathrm{x}+4 \mathrm{y}$, subject to the constraints $\mathrm{x}+\mathrm{y} \leq 40, \mathrm{x}+2 \mathrm{y} \leq 60$ and $\mathrm{x}, \mathrm{y} \geq 0$ is

130

120

140

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