A pallet with a dimension of (1200 mm x 1000 mm x 150 mm) (Length x Width x Height) is used to store cartons, each measuring 250 mm x 200 mm x 150 mm (Length x Width x Height) and weighs 1.5 kg. The loaded pallets are stored in a rack with a clearance height of 2100 mm. To handle the loaded pallets, a clearance of 150 mm is required between the top of the pallet and the underside of the beam. Assume that the cartons are sturdy and can be stacked without crushing the bottom layer. Also, the cartons can be oriented in any direction.b. How many pallets can be stacked on the pallet such that it can be stored on the rack (adhering to the available clearance)? Show all calculations.d.If there is a weight limit of 300 kgs for one pallet, does the number of pallets stacked on the pallet change? Why or why not?e. If the maximum top load a carton can carry is 10 kg, how many layers can be stacked on the pallet? How many cartons can be stored on the pallet? (When one carton is stacked on a carton, the bottom carton carries a load of 1.5 kgs. If two cartons are stacked on a carton, the bottom carton carries a load of 3.0 kgs.)