Designing a practical warehouse layout is a crucial process as it has a direct impact on the efficiency and productivity of the warehouse. A warehouse currently uses wide pallet racking in its warehouse. The space set aside for the warehouse is 90 m x 120 m x 11 m. One length module is highlighted in the figure shown. The pallet size is 1.2 m x 1 m and is short-side facing. The width of upright is 0.2 m.

(a) The clearance is (0.05 + 0.02*X) m, where X is the last digit of your Student PI number. Example: If your Student PI number is W1234567, then X = 7 and the clearance is (0.1 + 0.01*7) = 0.17 m.

Calculate the number of length modules that can be accommodated in the warehouse. State all necessary assumptions. You should show computations for two options where the length modules are positioned along:

(i) the longer side of the warehouse

(ii) the shorter side of the warehouse.

(b) Following from part (a), suppose you recommend the option that maximises the number of length modules in the warehouse. Assume the width module is 5m and the height module is 2m. How many pallets can be stored in this warehouse? State all necessary assumptions.