An operating system uses the Bankers algorithm for deadlock avoidance when managing the allocation of three resource types X, Y, and Z to three processes P0, P1, and P2. The table given below presents the current system state. Here, the Allocation matrix shows the current number of resources of each type allocated to each process and the Max matrix shows the maximum number of resources of each type required by each process during its execution.

There are 3 units of type X, 2 units of type Y and 2 units of type Z still available.

1. Based on that scenario, is the system in safe state? Explain you answer.

Consider the following independent requests for additional resources in the current state:

REQ1: P0 requests 0 units of X,

0 units of Y and 2 units of Z

REQ2: P1 requests 2 units of X,

0 units of Y and 0 units of Z

2. Which request will be permitted and why?

\begin{tabular}{c|ccc|ccc|} & \multicolumn{3}{|c|}{ Allocation } & \multicolumn{3}{c|}{ Max } \\ \cline { 2 - 7 } & X & Y & Z & X & Y & Z \\ \cline { 2 - 7 } P0 & 0 & 0 & 1 & 8 & 4 & 3 \\ P1 & 3 & 2 & 0 & 6 & 2 & 0 \\ P2 & 2 & 1 & 1 & 3 & 3 & 3 \end{tabular}