Help to solve this please ? integer problem

  • Thread starter mhill
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Main Question or Discussion Point

we must obtain 'N' and a(i) i=1,2,3,.............,N on condition that

the product [tex] a(1)a(2)a(3)..........a(N) [/tex] is the highest possible

[tex] a(1)+a(2)+a(3)+........+a(N)=73 [/tex]

every a(i) is positive

here N (this is the hardest part) is not known and must be calculated
 

Answers and Replies

CRGreathouse
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Well, since [itex]3^{1/3}>2^{1/2}=4^{1/4}[/itex], I'd suggest using as many 3s as will fit, making the rest a 2 or 4. In this case twenty three 3s and one 4 would seem to be the best. Now just check my work and make sure I didn't miss something silly.
 

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