Develop a resource schedule for the project network below, which requires a team of programmers for its development. However, only $5$ programmers are available.

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$\backslash$table$[[$ES$,$ID$,$EF$],[$SLACK$,$RESOURCE,SLACK$],[$LS$,$DURATION,LF$]]$

Use the parallel method and the following heuristics to develop a schedule for the project: $1.$ Shortest slack. $2.$ Shortest duration. $3.$ Smallest identification number.

a$)$ Present the project's workload. Report eventual resource overallocations. $(1\mathrm{.}50$ point$)$

b$)$ Present a new workload for the project. What is the new critical path and project duration after rescheduling the resources? $(1\mathrm{.}50$ point$)$