APPLY 32. Model With Mathematics Darren is placing shipping boxes in a storage unit with a floor area of x4 + 5x3 + x2 – 20x – 14 square units. Each box has a volume of x3 + 10x2 + 29x + 20 cubic units and can hold a stack of items with a height of x + 5 units.

a. How much floor space will each box cover?
b. What is the maximum number of boxes Darren can place on the floor of the storage unit?
C. Assume Darren places the maximum number of boxes on the floor of the storage unit, with no overlap. How much of the floor space is not covered by a box?