if-a-b-c-d-63-and-a-b-c-d-N-find-the-maximum-value-of-ab-bc-cd-

Question Number 192856 by universe last updated on 29/May/23

i f a + b + c + d = 63 a n d a, b, c, d \in N f i n d

t h e m a x i m u m v a l u e o f a b + b c + c d = ?

Answered by Frix last updated on 29/May/23

32 + 31 + 0 + 0 = 63

32 \times 31 = 992

Commented by AST last updated on 30/May/23

Commented by AST last updated on 30/May/23

I f N^{*}, t h e n 991 . B u t i f N_{0}, t h e n 992 .

Commented by AST last updated on 30/May/23

a, b, c, d \in N, 0 \notin N (b y d e f i n i t i o n)

Commented by Frix last updated on 30/May/23

Some define

N = {0, 1, 2, 3, \dots} and N^{★} = N ∖ {0}

others

N = {1, 2, 3, 4, \dots} and N_{0} = N \cup {0}

It had been dicussed here several times

before .

Commented by Frix last updated on 30/May/23

Yes .

Answered by nikif99 last updated on 30/May/23

i f N^{*} t h e n (a, b, c, d) = (1, 31, 30, 1) o r

(1, 30, 31, 1), w i t h m a x = 991 .

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