Activity D$,$E and F are relatively newer ones and Anderson has no prior experience in doing them. He studies

the records of prior projects and also consults with his senior colleagues for the estimated time for completing

these activities. He finally arrives at following three time estimates for these activities.

a m b

D $5811$

E $468$

F $468$

While arriving at the cost estimates Anderson follows a cost engineering approach and observes that activities

D$,$ E and F can be completed at their most optimistic time estimates at an extra cost of Rs$.15,000/-$ each.

Whereas the activity A can be finished $2$ weeks in advance with an additional cost of Rs$.1000/-$ per week,

activity B would cost an additional Rs$.5000/-$ if it were to be completed in $3$ week's time, the duration of

activity C could be shortened in two steps; First additional unskilled manpower could be employed. This

would reduce the duration to $8$ weeks and increase the cost to Rs$.20000/-.$ Second, a highly skilled manpower

could complete this activity in just $5$ weeks with a $50\%$ increase in the cost from the first step. The duration

of activity G cannot be shortened at any cost.

I. What is the most optimum duration in which the project could be finished? Also calculate the

associated total cost. $($Consider the indirect cost of the project to be Rs$.3000$ per week$).$

$2.$ Make a budgetary plan of this project and comment on the feasible budget region.