A disk has 100,000 blocks of 512 bytes each. A 4-byte integer is necessary to address each disk block. 

a) For the allocation scheme using a FAT, determine the fraction of the disk that must be reserved for the FAT. 

b) Determine the maximum file size using the FAT approach. 

c) Determine the maximum file size if the indexed scheme was used instead, with an index size of 1 disk block.