Question

Find two positive numbers x and y whose sum is 7 so that x^(2)*y−8x is a maximum.

Answer #1

1. Consider the following optimization problem. Find two
positive numbers x and y whose sum is 50 and whose product is
maximal. Which of the following is the objective function?
A. xy=50
B. f(x,y)=xy
C. x+y=50
D. f(x,y)=x+y
2. Consider the same optimization problem. Find two positive
numbers x and y whose sum is 50 and whose product is maximal. Which
of the following is the constraint equation?
A. xy=50
B. f(x,y)=xy
C. x+y=50
D. f(x,y)=x+y
3. Consider the same...

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

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

Find three positive numbers whose sum is 12, and whose sum of
squares is as small as possible, (a) using Lagrange multipliers
b)using critical numbers and the second derivative test.

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

Find two numbers whose sum is 14 and whose product is the
maximum possible value.
What two numbers yield this product?
______.

Find two numbers whose sum is 45 and whose product is a maximum.
(If an answer does not exist, enter DNE.)
smaller number:
larger number:

a) Find two numbers whose sum is a maximum and whose product is
125. What is the maximum sum?
b) Suppose you want the volume of a box to 1,000 ft^3. What
should the dimensions of the box be in order to minimize cost given
that the box must have a square base?

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)

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