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Let p,q, r in R^(+) and 27pqr ge (p+q+r)...

Let `p`,`q`, `r in R^(+)` and `27pqr ge (p+q+r)^(3)` and `3p+4q+5r=12`. Then the value of `8p+4q-7r=`

A

`2`

B

`3`

C

`4`

D

`5`

Text Solution

Verified by Experts

The correct Answer is:
D
`(c )` Given `27pqr ge (p+q+r)^(3)`...............`(i)`
Using `A.M. ge G.M.`
`implies(p+q+r)/(3) ge (pqr)^(1//3)`………`(ii)`
`impliesp=q=r` [using `(i)` and `(ii)` ]
Also `2p+4q+5=12`
`impliesp=q=r=1`
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