Answer:
14 elliptical machines
Step-by-step explanation:
t = # of treadmills
e = # of elliptical machines
t + e = 38
t = e + 10
Substitute:
e + 10 + e = 38
2e = 28
e = 14
Given

subject to the constraint

Let

.
The gradient vectors of

and

are:

and

By Lagrange's theorem, there is a number

, such that


It can be seen that

has local extreme values at the given region.
Answer:
h < -8
Step-by-step explanation:
Add -16 to both sides to solve for h.
h - 16 + 16 < -24 + 16
h < -8
As said before, 160 is the correct answer
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