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The point which provides the solution of the linear programming problem, maximise Z = 45x + 55y. Subject to constraints Subject to constraints ` x,y ge 0, 6x +4y le 120` and ` 3x +10 y le 180 ` is

A

(15, 10)

B

(10, 15)

C

(0,18)

D

(20,0)

Text Solution

Verified by Experts

The correct Answer is:
B
Given ,constriants are
` 6x+4y le 120`
`3x +10y le 180 `
`x,y ge 10`
Objective function Z=45x+55y is to be maximised .

Here , OABCO is the requred feasible region whose corner points are O, A,B and C ,

Hence, the maximum value of Z is 1275 at B (10,15)
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