Economite plastics plans to produce a one-compartment vertical file by bending the long side of an 8-in. by 14-in. sheet of plas
tic along two lines to form a u shape. how tall should the file be in order to maximize the volume that the file can hold?
1 answer:
Volume of the file = Volume of the rectangle = length *width * height


So the Volume of the file V=112x-16x^2
Now to maximize the file: Compute dV/dx and set to 0.

Set dV/dx=0 implies 
Thus x=3.5 in tall should the file be in order to maximize the volume that the file can hold.
You might be interested in
I’m pretty sure the correct answer is B
Answer:
3x + 13y
Explanation:
6x + 8y − (3x − 5y)
Distribute the Negative Sign
6x + 8y + −1(3x − 5y)
6x + 8y + −1(3x) + −1(−5y)
6x + 8y + −3x + 5y
Combine Like Terms
6x + 8y + −3x + 5y
(6x + −3x) + (8y + 5y)
= 3x + 13y
The answer would be A because each side is being multiplied by 3
Answer:
5+3a=29
Step-by-step explanation:
let Ella's age be 'a'
Vicki's age=5+2a
sum of their ages= 29
So, the equation is
(5+2a)+a=29
5+3a=29
<em>hope this helps!</em>