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jai ho

· started a discussion

· 1 Months ago

blunder (Question: 99620.0 )

yar last time ans kuch or dia tha apne or es bar kuch or

jab nai ata to galat b q bta rhe ho...

Question:
If a,b,c and d are four positive numbers such that a+b+c+d = 4, then what is the maximum value of (a+1) (b+1) (c+1) (d+1) ?
Options:
A) 32
B) 8
C) 16
D) 81
Solution:

Ans (c) if a+b+c+d is constant, then the product abcd is maximum when a = b = c= d.

∴ (a+1) = (b+1)= (c+1)= (d+1)

Given that (a+1) +(b+1)+ (c+1) +(d+1) = 8

∴ 4 (a+1) = 8

⇒ (a+1) = 2

∴ maximum value = 2 × 2 × 2 × 2 = 16

Knowledge Expert

· commented

· 1 Months ago

Dear student
Given answer is correct.

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