Time left $0$:$28$:$44$

The above Gantt chart shows a project with three tasks and it needs $5$ weeks to finish. The project deadline should be after two

weeks $(15/1)$ from the project starting time The normal cost as planned for task $1$ is $5000,$ task $2$ is $8000,$ and task $3$ is $12000.$

There is a penalty of $5000$ per week for every week delay after two weeks. The project manager can crash the durations of task

$2$ and task $3$ by allocating more resources. After crashing tasks $2$ and $3,$ the total cost of Task $2$ and Task $3$ will be as follows:

Task $210000$ and Task $314000$ for one week crashing,

Task $212000$ and Task $316000$ for two weeks crashing.

Task $214000$ and Task $323000$ for three weeks crashing.

The project manager has the following scenarios to do:

Scenario $1$: Leave the project without crashing.

Scenario $2$: Crash task $2$ and task $3$ for one week.

Scenario $3$: Crash task $2$ and task $3$ for two weeks.

Scenario $4$: Crash task $2$ and task $3$ for three weeks.

The project total cost of scenario $1$ is

The project total cost of scenario $2$ is

The project total cost of scenario $3$ is

The project total cost of scenario $4$ is

The project manager will choose:

with cost saving is