Block stacking is used to store unit loads, 42  48; each unit load is 54 high, including the pallet. A clearance of 8 is provided between storage rows. The storage aisle is 13 wide; storage is assumed to occur on both sides of the aisle. Unit loads are stacked three high.

a. Given Q  30, using enumeration determine x to minimize S.

b. Suppose Q  300. Using continuous approximation, how deep should the storage rows be?

c. Suppose Q  300 and s  30 loads. Use continuous approximation to determine x.

d. Suppose Q  30 and s  5 loads. Use enumeration to determine the optimum row depth.

e. Suppose Q  60, s  0, and storage rows that are four deep and eight deep are available for storage. Determine the optimum allocation of unit loads to row depths to minimize average floor space required.