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Point at which the maximum or minimum of an objective function occurs

This type of question, asked 4 times: 2 May 2023 S1, 11 Apr 2026 S1, 16 Apr 2026 S2, 14 May 2026 S2. All 4 questions below, oldest first.

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  1. Question 1

    2 May 2023 S1

    143
    The point, at which the maximum value of 10x+6y10x + 6y subject to the constraints x+y≤12x+y \le 12, 2x+y≤202x+y \le 20, x≥0x \ge 0, y≥0y \ge 0 occurs, is

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  2. Question 2

    11 Apr 2026 S1

    97
    The point at which the maximum value of x+yx + y subject to constraints x+2y≤70x + 2y \le 70 and 2x+y≤95,x≥0,y≥02x + y \le 95, x \ge 0, y \ge 0 is.

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  3. Question 3

    16 Apr 2026 S2

    97
    The minimum value of z=3x+5yz = 3x + 5y, subject to constraints x≤80,y≥60,x+y≤200x \le 80, y \ge 60, x + y \le 200 & x,y≥0x, y \ge 0 occurs at the point...

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  4. Question 4

    14 May 2026 S2

    98
    The point at which the maximum value of 3x+2y3x + 2y subject to the constraints x+y≤2,x≥0,y≥0x + y \le 2, x \ge 0, y \ge 0 is obtained is

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