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KULDEEP BISHT

· started a discussion

· 1 Months ago

vedio solution (Question:97913.0)

vedio solution

Question:
If a + b +c = 13, what is the maximum value of (a -3)(b -2) (c + 1) ?
Options:
A) 26
B) 27
C) 30
D) 19
Solution:

Ans: (b) 

if x + y + z is constant, the product xyz takes maximum value when each of x, y, z takes equal value.

∵ a + b +c = 13

∴ (a -3) + (b -2) + (c + 1) = 13 – 3 – 2 + 1 = 9

For the maximum value of (a -3) (b -2) (c + 1)

= (a -3)= (b -2)= (c + 1)= \(\cfrac{9}{3}\) = 3

So, (a -3)(b -2) (c + 1) = 3 × 3 × 3 = 27

Knowledge Expert

· commented

· 1 Months ago

Dear student
We will try to give video solution for this question soon.
Thanks for showing your interest.

Regards
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