that in his revised schedule $($Exhibit $4),$ three paths had become critical to the completion of the project as rescheduled.

Questions:

$(1)$ Reduce total project duration as much as possible without unnecessary additional costs. Indicate the new critical path or paths. Show how much slack time remains in the noncritical paths.

$(2)$ Assume that the situation proves to be less urgent than it seems to Messrs. Alison and Phillips. Revise the schedule in order to complete the job within ten $(10)$ weeks. Indicate the new cost and critical path or paths.

$(3)$ Suppose Reynolds were proceeding on the $10-$week schedule and it became obvious that it would take not two but five weeks to prepare the necessary data for the request for Oakmont approval and that this step alone would now cost $$7,000.$ What steps would you take to keep on schedule? What would be your new critical path or paths? What would happen to project costs?

$(4)$ Assume this project is planned to be completed in six weeks. If there is a penalty cost of $$10,000$ per week for every week the project is late, what action would you take?