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Maximum or minimum of an objective function over a feasible region shown in a figure

This type of question, asked 5 times: 16 May 2023 S2, 10 May 2024 S2, 12 May 2024 S1, 13 May 2024 S2, 20 Apr 2025 S2. All 5 questions below, oldest first.

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  1. Question 1

    16 May 2023 S2

    103
    The shaded area in the given figure is a solution set for some system of inequalities. The maximum value of the function z=4x+3yz = 4x + 3y subject to linear constraints given by the system is

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  2. Question 2

    10 May 2024 S2

    105
    The shaded area in the figure given below is a solution set of a system of inequations. The minimum value of objective function 3x+5y3x+5y, subject to the linear constraints given by this system of inequations is

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  3. Question 3

    12 May 2024 S1

    105
    For a feasible region OCDBO given below, the maximum value of the objective function z=3x+4yz=3x+4y is

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  4. Question 4

    13 May 2024 S2

    125
    The shaded area in the given figure is a solution set for some system of inequations. The maximum value of the function z=10x+25yz=10x+25y subject to the linear constraints given by the system is

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  5. Question 5

    20 Apr 2025 S2

    105
    A scholarship amount is given by z=550x+300yz= 550x+ 300y and is to be distributed among xx boys and yy girls. From the graph given below the maximum amount of scholarship is ____\_\_\_\_

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