Answer:
base side = 20cm
height = 40 cm
minimum cost = $7200
Step-by-step explanation:
Let x (cm) be the base side and h (cm) be the height of the box. Since the volume of the box must be 16000 cubic cm, we have:
The areas of the top and bottom is
And so their cost is:
The areas of the sides is
And so their cost is:
We can substitute into the equation above to get
So the total cost of the bases and the sides:
This is the function we would want to minimize. We can start by taking the 1st derivative, and set it to 0
So the height would be
So the minimum total cost would be
The three geometric means between 3 and 512 are…
8, 32, 128
OR
-8, 32, -128
Answer:
3/4
6/8
12/15
15/18
Step-by-step explanation:
4/52 = 2/27 After you divide that you get .074 after you round it to the three places.