A project consists of $$7$$ activities. The network along with the time durations (in days) for various activities is shown in the figure.

The minimum time (in days) for completion of the project is _____________

The precedence relations and duration (in days) of activities of a project network are given in the table. The total float (in days) of activities $$e$$ and $$f,$$ respectively, are

A project has four activities $$P,Q, R$$ and $$S$$ as shown below.

The normal cost of the project is Rs. $$10,000/-$$ and the overhead cost is Rs. $$200/-$$ per day. If the project duration has to be crashed down to $$9$$ days, the total cost (in Rupees) of the project is ______________.

Consider the given project network, where numbers along various activities represent the normal time. The free float on activity $$4$$-$$6$$ and the project duration, respectively, are