Question

Find two positive numbers satisfying the given requirements.

The product is 232 and the sum is a minimum.

Answer #1

Find two positive numbers satisfying the given requirements. The
product is 27 and the sum of the first plus three times the second
is a minimum.
first number
second number

1-Find two positive numbers satisfying the given
requirements.
The product is 238 and the sum is a minimum.
(smaller value) ?
(larger value)?
2-Find the length and width of a rectangle that has the given
perimeter and a maximum area.
Perimeter: 176 meters
length
m
width
m
3-Find the points on the graph of the function that are closest
to the given point.
f(x) = x2, (0, 4)
(x, y)
=
(smaller x-value)
(x, y)
=
(larger x-value)

1) Find two positive numbers whose sum is 31 and product is
maximum.
2) Find two positive whose product is 192 and the sum is
minimum.

Find two positive numbers whose product is 253 and whose sum is
a minimum.

Find the minimum sum of two positive numbers (not necessarily
integers) whose product is 600.
pls circle the answer

Use optimization to find two positive numbers whose product is
an optimum, given that one number plus three times the other number
is 100. Is this optimum product a maximum or a minimum?

Find 3 positive numbers that sum up to 100 with the maximum
possible product.

Find two + numbers x and y whose product xy is 8 and whose sum
is 2x+y is a minimum

The product of two numbers is 1 and the sum of their squares is
2. Find the numbers.

Find two non-negative numbers whose sum is 48 and whose product
is a minimum. (If an answer does not exist, enter DNE.)
smaller #:________
larger #:_________

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