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The minimum value of P=b c x+c a y+a b z...

The minimum value of `P=b c x+c a y+a b z ,` when `x y z=a b c` , is `a. 3abc` `b. 6abc` `c. abc` `d. 4abc`

A

3abc

B

6abc

C

abc

D

4abc

Text Solution

Verified by Experts

The correct Answer is:
A

A.M `ge` G.M
`implies (bcx + cay + abz)/(3) ge (a^(2) b^(2) c^(2) xzy)^(1//3)`
or `bcx + cay + abz ge 3xyz`
or `bcx + acy + abz ge 3 abc`
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CENGAGE ENGLISH-INEQUALITIES INVOLVING MEANS -EXERCISES (Single Correct answer type)
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