4.7 Exercises for Optimization Problems
1.
Find the greatest possible value of
xy
given that
and
x
y
are both positive and
40.
x
y
+
=
A)
200
B)
160
C)
400
D)
320
Ans: (C)
2.
What is the smallest perimeter possible for a rectangle whose area is to be 28
square meters?
3.
Find the largest possible area for a rectangle with base on the
x
-axis and upper
vertices on the curve
2
4
.
y
x
=
−
64
4.
Find the largest possible area for a rectangle inscribed in a circle of radius 4.

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