$4.$ The information below is on a project with the critical path determined $$ highlighted in red. Management has said it takes too long and they would rather spend more resources but it the duration has to be reduced. The initial total direct cost $($normal costs$)$ is $1000.$ Appropriately reduce the duration to an optimal direct cost value. Show how you do this and state what is the new direct cost and new duration to be presented to management. $[25]$

Activity Crash cost Maximum crash Normal Normal

$($slope$)$ time time cost

A $02150$

B $10013100$

C $5024200$

D $4014200$

E $5013200$

F $01150$