Answer:
12 units³
Step-by-step explanation:
original volume of box = 120 units³
If the box if it is scaled down by a factor of 1/10, then we multiply the original volume by 1/10:
120 x (1/10) = 120 ÷ 10 = 12 units³
We are given with two conditions and we label each positve number as x and y. The sum of the 2 numbers is x + y equal to S. The product is maximum.
The product is xy. To find the maximum
P = xy = x (S- x) = Sx - x2
dP = S - 2x = 0
hence x = S/2
y then is equal to S/2 also.