(4,3)
it's asking what you have to do to put it in a scale factor which means like a tree factor
Lagrange multipliers:







(if

)

(if

)

(if

)
In the first octant, we assume

, so we can ignore the caveats above. Now,

so that the only critical point in the region of interest is (1, 2, 2), for which we get a maximum value of

.
We also need to check the boundary of the region, i.e. the intersection of

with the three coordinate axes. But in each case, we would end up setting at least one of the variables to 0, which would force

, so the point we found is the only extremum.
Answer:
744 cubic inches
Step-by-step explanation:
Volume of Styrofoam= volume of big box -volume of glass box
=(10*10*15)-(9*7*12)
=1500-756
=744 cubic inches
Answer: 6.67 feet (check to see if you made a typo)
Step-by-step explanation:
if the scale factor is ten than we multiply 8 by 10
8 * 10 = 80
important to remember this is 80 INCHES not 80 FEET
to convert 80 inches into feet, we divide by 12 because there are 12 inches in a foot
80/12 = 6.67 feet
check to make sure that the first option is actually 6.67 inches because it would make more sense for it to be in feet