Find three positive numbers, whose sum is 30 and whose product is maximum. please do it on paper, step by step.
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Find three positive numbers, whose sum is 30 and whose product is maximum. please do it on paper, step by step.
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Answer:
Step-by-step explanation:here three positive number,x1,x2,x3
x1+x2+x3=30 - its may possible x1=x2=x3 for requirement of 2nd condition
i.e. x1*x2*x3=max
so when x1=x2=x3 ,in this case only product of these three numbers will be maximum
so x+x+x=30
3x=30
x=30
ans x1=10,x2=10,x3=10
verify 10*10*10=1000 on taking another numbers of sum equal t0 30 do not give maximum number