The corner points of the feasible region in ...

CBSE Class 12 Math 2025 All Sets Solved Paper

Question : 15 of 20

Marks: +1, -0

The corner points of the feasible region in graphical representation of a L.P.P. are (2, 72), ( 15, 20 ) and (40, 15). If Z = 18x + 9y be the objective function, then

Z is maximum at (2, 72), minimum at (15, 20)
Z is maximum at (15, 20) minimum at (40, 15)
Z is maximum at (40, 15), minimum at (15, 20)
Z is maximum at (40, 15), minimum at (2, 72)

Solution:

Z = 18x + 9y

The maximum or minimum value occurs at corner points.

Let A(2, 72), B(15, 20), C(40, 15)

Z_{A}=18 \times 2+9 \times 72=684

Z_{B}=18 \times 15+9 \times 20=450

Z_{C}=18 \times 40+9 \times 15=855

Maximum occurs at point C(40,15) and minimum occurs at point B(15,20)

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