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:
11
Step-by-step explanation:
11
Step-by-step explanation:
x×1/2×1/4×3/4
x×3/32
3/32x
.53571429 exactly but if you want to round the answer is different
Answer:
Joel earns $35.00 commission and the store keeps $715.
Step-by-step explanation:
You need to figure 5% of what he sold - or 5% of $750.
Of course, you can use a calculator, or multiply $750 by .05. I prefer to think of 10 percent ($75.00) and half that to get 5%. $35.00.
Joel earns $35.00 on the sale. Not bad!
If he gets to keep $35, deduct this from the price to find out how much the store will keep.
$750 - $35 - $715.