Q10 of 29 Page 1

Solve the following Linear Programming Problem graphically:

Maximize Z = 3x + 4y


subject to


x + y ≤ 4, x ≥ 0 and y ≥ 0


Points passing through x + y = 0



Now, as (0, 0) satisfies x + y ≤ 4, the area is towards origin, also x ≥ 0, and y ≥ 0 shows area in I quadrant.




Hence, the required maximum value is 16 at (0, 4).


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