# Find two positive numbers that satisfy the given requirements.The product is 147 and the sum of the first number plus three times the second number is a minimum.

Harlen Pritchard 2020-12-22 Answered
Find two positive numbers that satisfy the given requirements.The product is 147 and the sum of the first number plus three times the second number is a minimum.
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## Expert Answer

avortarF
Answered 2020-12-23 Author has 113 answers

x for the first number and y for the second number so,
$xy=147$
and
$x=\frac{147}{y}$
substituting in the second statement, we get:
$\frac{147}{y}+3y=$ a minimum value
if we assume some function:
${f}^{\prime }\left(y\right)=3-\frac{147}{{y}^{2}}$
y=0,7
$x=\frac{147}{7}=21$
the two numbers are 7 and 21

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