Linear Programming

Bihar Board Class 12 · Mathematics · 15 past questions

1. Q1 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

   The maximum value of $Z=4x+y$ subject to the constraints $x+y\le 50,\ x\ge 0,\ y\ge 0$ is

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2. Q2 2025

   The maximum value of $z = 3x + 4y$ is, where constraints $x + y \leq 4, x \geq 0, y \geq 0$

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3. Q3 2025

   The minimum value of $z = 4x + y$ is, where constraints $x + y \leq 50, x + y \leq 90, x \geq 0, y \geq 0$

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4. Q4 2025

   Minimize $z = 13x-15y$ subject to $x+y\le 7$, $2x-3y+6\ge 0$, $x\ge 0$ and $y\ge 0$.

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5. Q5 2025 Set A2025 Set E

   Which of the following is objective function ?

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6. Q6 2025 Set A2025 Set E

   The maximum value of $Z = 2x + y$ subject to constraints $x + y \leq 35,\ x \geq 0,\ y \geq 0$ is

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7. Q7 2025 Set A2025 Set E

   The maximum value of $Z=3x-y$ subject to constraints $x+y\le 8,\ x\ge 0,\ y\ge 0$ is

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8. Q8 2025 Set E

   Maximise $Z=3x+4y$ subject to $x+y\le1$, $x\ge0$, $y\ge0$.

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9. Q9 2024 Set D2024 Set J

   The minimum value of $Z = 3x + 5y$ subject to the constraints where $x + y \le 2$, $x \ge 0$, $y \ge 0$ is

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10. Q10 2024 Set D2024 Set J

    The maximum value of $Z = 3x + 2y$ subject to the constraints where $3x + y \le 15$, $x \ge 0$, $y \ge 0$ is

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11. Q11 20232023 Set E

    The maximum value of $Z = 6x + 3y$ subject to constraints $x + y \le 25, x \ge 0, y \ge 0$ is

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12. Q12 20232023 Set E

    The maximum value of $Z = x - 3y$ subject to constraints $x + y \le 13, x \ge 0, y \ge 0$ is

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13. Q13 20232023 Set E

    The minimum value of $Z = 7x + 8y$ subject to constraints $3x + 4y \le 24, x \ge 0, y \ge 0$ is

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14. Q14 2021 Set J2021 Set I

    The maximum value of $Z = 3x + 4y$ subject to constraints $x + y \le 4$, $x \ge 0, y \ge 0$ is

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15. Q15 2015

    Minimize $Z = -3x + 3y$ subject to $x + 2y \le 8$, $3x + 2y \le 8$, $x \ge 0,\ y \ge 0$. (with a figure)

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