Determine two positive numbers whose product is 360, and the sum of one of the numbers and 10 times the other number is a minimu
m.
1 answer:
Answer:

Step-by-step explanation:
Let
be one number and
be the other number.
The product of the two numbers is 360.

Sum of one of the numbers and 10 times the other number be z

Differentiating with respect to
we get

Equating with zero

Double derivative of z

at 

So
is minimum at 

So, one number is 60 and the other number is 6.
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Step-by-step explanation:
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Step-by-step explanation:
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I hope I've helped you.