3. (50 pts) Consider the following maximum-claim reusable resource system with four processes (Po, P., P2, P3) and three resource types (Ro, R1, R2). The maximum claim matrix is given by Ro Ri R2 P. 4 1 4 P. 3 1 P2 5 6 13 P3 1 1 6 4 where C, denote maximum claim of process i for resource j. The total number of units of each resource type is given by the vector RO 5 8 15 R1 R2 The current allocation of resources is given by the matrix RO RI R2 0 1 4 P. 2 0 1 P2 1 2 1 P3 1 0 3 where Aydenotes the units of resources of type j currently allocated to process i. For the state shown above: a. Determine if the current state is safe. b. Determine if a request by process 1 for 1 unit of resource 1 can be safely granted. c. Determine if a request by process 2 for 4 units of resource 2 can be safely granted. You must show your work and justify each of your answers