PYQ Vault
EbooksTutor

Maximum and minimum values of an objective function, or their difference

This type of question, asked 5 times: 22 Apr 2025 S1, 13 Apr 2026 S2, 15 Apr 2026 S2, 20 Apr 2026 S1, 12 May 2026 S2. All 5 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    22 Apr 2025 S1

    148
    If the difference between the maximum and minimum values of the objective function z=7x−8yz = 7x- 8y subject to the constraints x+y⩽20,y⩾5,x,y⩾0x+y\leqslant 20,y\geqslant 5,x,y\geqslant 0 is 5k+2005k + 200, then the value of k is

    Tap an option to check your answer.

  2. Question 2

    13 Apr 2026 S2

    97
    The difference between the maximum value and minimum value of the objective function z=3x+5yz = 3x + 5y of a linear programming problem subject to constraints 5x+10y≤50,x+y≥1,y≤45x + 10y \le 50, x + y \ge 1, y \le 4 and x≥0,y≥0x \ge 0, y \ge 0 is 3λ3\lambda. Then the value of λ\lambda is

    Tap an option to check your answer.

  3. Question 3

    15 Apr 2026 S2

    97
    The difference between the maximum and minimum values of the objective function Z=3x+5yZ = 3x + 5y, subject to the constraints x+3y≤60,x+y≥10,x−y≤0,x,y≥0x + 3y \le 60, x + y \ge 10, x - y \le 0, x, y \ge 0 is

    Tap an option to check your answer.

  4. Question 4

    20 Apr 2026 S1

    97
    The difference between the maximum value and the minimum value of the objective function z=3x+yz = 3x + y subject to the constraints 2x+3y≤6,x+y≥1,x≥0,y≥02x + 3y \le 6, x + y \ge 1, x \ge 0, y \ge 0 is....

    Tap an option to check your answer.

  5. Question 5

    12 May 2026 S2

    97
    The minimum and maximum values of the objective function Z=3x+9yZ = 3x + 9y, subject to x+3y≤60,x+y≥10,x≤y,x≥0,y≥0x + 3y \le 60, x + y \ge 10, x \le y, x \ge 0, y \ge 0 are respectively...

    Tap an option to check your answer.