Answer:
We would have

where " l " is length, " w" is width and "h" is height.
Step-by-step explanation:
Step 1
Remember that
Surface area for a box with no top = 
where " l " is length, " w" is width and "h" is height.
Step 2.
Remember as well that
Volume of the box = 
Step 3
We can now use lagrange multipliers. Lets say,

and

By the lagrange multipliers method we know that

Step 4
Remember that

and

So basically you will have the system of equations

Now, remember that you can multiply the first eqation, by "l" the second equation by "w" and the third one by "h" and you would get

Then you would get

You can get rid of
from these equations and you would get

And from those equations you would get

Now remember the original equation

If we plug in what we just got, we would have

12:8
or you can simplify it to
3:2
Answer:Yolanda served 13 orders.
Ahmad served 19 orders.
Hong served 38 orders.
Step-by-step explanation:
Let x represent the number of orders that Ahmad served.
Yolanda served 6 fewer orders than Ahmad. This means that the number of orders that Yolanda served is x - 6
Hong served 2 times as
many orders as Ahmad. This means that the number of orders that Hong served is 2x
Yolanda, Hong, and Ahmad served a total of 70 orders Monday at the school cafeteria. This means that
x - 6 + x + 2x = 70
4x - 6 = 70
4x = 70 + 6 = 76
x = 76/4 = 19
Hong served 2 × 19 = 38
Yolanda served 19 - 6 = 13