PYQ Vault
EbooksTutor

Minimum value of an objective function under given constraints (corner-point method)

This type of question, asked 4 times: 15 Apr 2026 S1, 13 May 2026 S2, 14 May 2026 S1, 19 May 2026 S1. All 4 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    15 Apr 2026 S1

    97
    The minimum value of 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.

  2. Question 2

    13 May 2026 S2

    97
    The minimum value of z=4x+2yz = 4x + 2y subject to the constraints 3x+y≥27,x+y≥21,x+2y≥30,x≥0,y≥03x + y \ge 27, x + y \ge 21, x + 2y \ge 30, x \ge 0, y \ge 0 is

    Tap an option to check your answer.

  3. Question 3

    14 May 2026 S1

    97
    The minimum value of z=5x+8yz = 5x + 8y subject to the constraints 0≤x≤4,0≤y≤2,x+y≥50 \le x \le 4, 0 \le y \le 2, x + y \ge 5 is

    Tap an option to check your answer.

  4. Question 4

    19 May 2026 S1

    98
    The minimum value of Z=4x+6yZ = 4x + 6y, subject to constraint x+2y≥80,3x+y≥75,x≥0,y≥0x + 2y \ge 80, 3x + y \ge 75, x \ge 0, y \ge 0 is:

    Tap an option to check your answer.