Use the data in the following table to identify the critical path, project completion time, and slack for each activity.

$\backslash$table$[[$Activity$,$Time,Predecessors$],[1.$ High level analysis,$5$ days,None$],[2.$ Selection of hardware platform,$1$ day,$1],[$Installation and commissioning of hardware,$14$ days,$2],[4.$ Detailed analysis of core modules,$14$ days,$1],[5.$ Detailed analysis of supporting utilities,$14$ days,$3,4],[6.$ Programming of core modules,$28$ days,$3,4],[7.$ Programming of supporting modules,$28$ days,$5],[8.$ Core module training,$1$ day,$6],[9.$Development of management reporting,$22$ days,$5],[10.$ Detailed training and documentation,$14$ days,$7,8,9$