Economite plastics plans to produce a one-compartment vertical file by bending the long side of an 8-in. by 14-in. sheet of plastic 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?

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.

the final price would be 29.6925

step-by-step explanation:

39.59 minus 25% equals 29.6925

you can't solve x because it is 2 linear equation and you only have one equation