You're tasked with organizing a large$-$scale charity event, which includes the following tasks, their durations, and their dependencies: $1.$ Venue Booking $($A$)$: $2$ days, no dependencies $($immediate predecessors$)2.$ Vendor Selection $($B$)$: $3$ days, depends on A$.3.$ Marketing Campaign $($C$)$: $5$ days, no dependencies. $4.$ Ticket Sales Setup $($D$)$: $2$ days, depends on B and C $5.$ Event Programming $($E$)$: $4$ days, depends on B $6.$ Final Preparations $($F$)$: $3$ days, depends on D and E$.$ Now you want to expedite the project by $2$ days. Each task can be expedited by $1$ day at the following additional costs: $1.$ Venue Booking $($A$)$: $$3502.$ Vendor Selection $($B$)$: $$1503.$ Marketing Campaign $($C$)$: $$264.$ Ticket Sales Setup $($D$)$: $$2005.$ Event Programming $($E$)$: $$3006.$ Final Preparations $($F$)$: $$100$ What is the least expensive way to reduce the total event preparation time by $2$ days, and what is the total additional cost?How to solve