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If given constraints are 5x+4y ge2, x le...

If given constraints are `5x+4y ge2, x le6, y le 7`, then the maximum value of the function `z=x+2y` is

A

13

B

14

C

15

D

20

Text Solution

Verified by Experts

The correct Answer is:
D
Given that `z=x+2y`
and `5x+4y=2`
`implies" "(x)/(2//5)+(y)/(1//2)=1`
At point `A((2)/(5),0),`

`z=(2)/(5)+0=(2)/(5)`
At point `B(6,0),z=6+0=6`
At point `C(6,7),z=6+14=20`
At point `D(0,7),z=0+2(7)=14`
`:.` The maximum value of z is 20.
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 19-Paper 2 (Mathematics)
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