Answer:
D. $81,728
Step-by-step explanation:
Let's first convert pounds to ounces.
4 pounds x (16 ounces / pound) = <u>64 ounces.</u> (Remember that when we're converting from a larger unit, pounds, to a smaller one, ounces, we'll have more ounces than pounds, so this answer makes sense!)
Let's now get the cost of the gold.
64 oz x ($1277 / oz) = <u>$81,728.</u> (Wow, that's a lot of gold!)
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

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