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For an LPP, minimise Z = 2x + y subject ...

For an LPP, minimise Z = 2x + y subject to constraint `5x+10y le 50 , x +y ge 1,y le 4 ` and ` x,y ge 0 ` then Z is equal to

A

0

B

1

C

2

D

`(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
The vertices of a feasible region are `A(0,1), B(1,0), C(10,0), D(2,4), E(0, 4)`.

Given, `" "z=2x+y`
At `" "A(0,1),z=2(0)+1=1`
At `" "B(1,0),z=2(1)+0=2`
At `" "C(10,0),z=2xx10+0=20`
At `" "D(2,4),z=2xx2+4=8`
and at `E(0,4),z=2xx0+4=4`
Hence, minimum value is 1.
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