Clare wants to make an open-top box by cutting out corners of a 30 inch by 25 inch piece of poster board and then folding up the sides. The volume `V\left(x\right)` in cubic inches of the open-top box is a function of the side length `x` in inches of the square cutouts.
V(x)=4x^{3}-110x^{2}+750x
What is the minimum and maximum size cutout you could make?
Minimum cutout:
Maximum cutout:
