MHT CET 2026 20th April Evening Shift | Linear Programming Question 1 | Mathematics

The difference between the maximum value and the minimum value of the objective function $z = 3x + y$ subject to the constraints $2x + 3y \leq 6$, $x + y \geq 1$, $x \geq 0$, $y \geq 0$ is....

$7$

$3$

$8$

$1$

MHT CET 2026 19th April Evening Shift

MCQ (Single Correct Answer)

-0

An airplane can carry a maximum of $250$ passengers. A profit of Rs $1500$ is made on each executive class ticket and a profit of Rs $900$ is made on each economy class ticket. The airline reserves at least $30$ seats for executive class. However at least $4$ times as many passengers prefer to travel by economy class than by executive class. Let $x_1$ be the number of passengers of executive class and $x_2$ be the number of passengers of economy class. Formulate the LPP in order to maximize the profit for the airline...

Maximize $z = 1500x_1 + 900x_2$ subject to $x_1 + x_2 \leq 250$, $x_1 \leq 30$, $x_2 \leq 4x_1$, $x_1 \geq 0, x_2 \geq 0$.

Minimize $z = 150x_1 + 90x_2$ subject to $x_1 + x_2 \leq 250$, $x_1 \geq 30$, $x_2 \geq 4x_1$, $x_1 \geq 0, x_2 \geq 0$.

Minimize $z = 1500x_1 + 900x_2$ subject to $x_1 + x_2 \leq 250$, $x_1 \geq 30$, $x_2 \geq 4x_1$, $x_1 \geq 0, x_2 \geq 0$.

Maximize $z = 1500x_1 + 900x_2$ subject to $x_1 + x_2 \leq 250$, $x_1 \geq 30$, $x_2 \geq 4x_1$, $x_1 \geq 0, x_2 \geq 0$.

MHT CET 2026 19th April Morning Shift

MCQ (Single Correct Answer)

-0

The shaded region in the provided graph represents the solution set for which of the following systems of linear inequalities?
MHT CET 2026 19th April Morning Shift Mathematics - Linear Programming Question 10 English

MHT CET 2026 19th April Morning Shift Mathematics - Linear Programming Question 10 English

$2x + y \geq 2,\ x - y \geq 1,\ x + 2y \leq 8,\ x \geq 0,\ y \geq 0$

$x + 2y \geq 2,\ x - y \geq 1,\ x + 2y \leq 8,\ x \geq 0,\ y \geq 0$

$2x + y \geq 2,\ x - y \leq 1,\ x + 2y \leq 8,\ x \geq 0,\ y \geq 0$

$2x + y \geq 2,\ x - y \leq 1,\ 2x + y \leq 8,\ x \geq 0,\ y \geq 0$

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