Problem $1(5$ points$)$

Consider the following project:

Every day the project goes on costs the company $\backslash (\backslash$$ $5,000\backslash )$ in indirect overhead costs, so if the project manager can shorten the project it will save $\backslash (\backslash$$ $5,000\backslash )$ for each day saved. The person responsible for activity E feels she can reduce the duration $($crash$)$ the activity by $1$ day through the use of overtime. The cost would only be $\backslash (\backslash$$ $2,500\backslash ).$ If you were the project manager, would you agree to crash activity $\backslash ($ E $\backslash )?$ Why or why not?