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Standard XII

Mathematics

Bounded and Unbounded Feasible Region

For the LP pr...

Question

For the LP problem, maximize z = 2x + 3y, the coordinates of the corner points of the bounded feasible region are $A (3, 3), B (20, 3), C (20, 10), D (18, 12)$ and $E (12, 12)$ ,the maximum value of z is

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Solution

The correct option is A
72

Put the points in z

z has maximum at D (18, 12) and the maximum value is 72

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For the LP problem, maximize z = 2x + 3y, the coordinates of the corner points of the bounded feasible region are A(3,3),B(20,3),C(20,10),D(18,12) and E(12,12) ,the maximum value of z is

The correct option is A 72 Put the points in z z has maximum at D (18, 12) and the maximum value is 72

For the LP problem, maximize z = 2x + 3y, the coordinates of the corner points of the bounded feasible region are $A (3, 3), B (20, 3), C (20, 10), D (18, 12)$ and $E (12, 12)$ ,the maximum value of z is

The correct option is A
72

Put the points in z

z has maximum at D (18, 12) and the maximum value is 72