Given the fact that the number of skiing visitors to Whistler, B$.$C$.,$ Canada, has been

increasing at an exciting rate, thanks to the $2010$ Winter Olympics, the Whistler Ski

Association has been considering construction of another ski lodge and ski complex. The

results of an economic feasibility study just completed by members of the staff show that a

winter resort complex near the base of Whistler Mountain could be a very profitable

venture. The area is accessible by car, bus, train, and air. The board of directors has voted

to build the $10-$million$-$dollar complex recommended in the study. Unfortunately, due to

the short summer season, the complex will have to be built in stages. The first stage $($year

$1)$ will contain a day lodge, chair lift, rope tow, generator house $($for electricity$),$ and

parking lot designed to accommodate $400$ cars and $30$ buses. The second and third stages

will include a hotel, an ice rink, a pool, shops, two additional chair lifts, and other

attractions. The board has decided that stage one should begin no later than April $1$ and be

completed by October $1,$ in time for the next skiing season. You have been assigned the

task of project manager, and it is your job to coordinate the ordering of materials and

construction activities to ensure the project$$s completion by the required date.

After looking into the possible sources of materials, you are confronted with the

following time estimates. Materials for the chair lift and rope tow will take $30$ days and $12$

days, respectively, to arrive once the order is submitted. Lumber for the day lodge,

generator hut, and foundations will take $9$ days to arrive. The electrical and plumbing

materials for the day lodge will take $12$ days to arrive. The generator will take $12$ days to

arrive. Before actual construction can begin on the various facilities, a road to the site must

be built; this will take $6$ days. As soon as the road is in$,$ clearing can begin concurrently on

the sites of the day lodge, generator house, chair lift, and rope tow. It is estimated that the

clearing task at each site will take $6$ days, $3$ days, $36$ days, and $6$ days, respectively. The

clearing of the main ski slopes can begin after the area for the chair lift has been cleared;

this will take $84$ days.

The foundation for the day lodge will take $12$ days to complete. Construction of the

main framework will take an additional $18$ days. After the framework is completed,

electrical wiring and plumbing can be installed concurrently. These should take $24$ and $30$

days, respectively. Finally, the finishing construction on the day lodge can

begin; this will take $36$ days.

Installation of the chair lift towers $(67$ days$)$ can begin once the site is cleared, lumber

delivered, and foundation completed $(6$ days$).$ Also, when the chair lift site has been

cleared, construction of a permanent road to the upper towers can be started; this will take

$24$ days. While the towers are being installed, the electric motor to drive the chair lift can

be installed; the motor can be installed in $24$ days. Once the towers are completed and the

motor installed, it will take $3$ days to install the cable and an additional $12$ days to install

the chairs.

Installation of the towers for the rope tow can begin once the site is cleared and the

foundation is built and poured; it takes $4$ days to build the foundation, pour the concrete,

and let it cure and $20$ days to install the towers for the rope tow. While the towers are being

erected, installation of the electric motor to drive the rope tow can begin; this activity will

take $24$ days. After the towers and motor are installed, the rope tow can be strung in $1$ day.

The parking lot can be cleared once the rope tow is finished; this task will take $18$ days.

The foundation for the generator house can begin at the same time as the foundation

for the lodge; this will take $6$ days. The main framework for the generator house can begin

once the foundation is completed; framing will take $12$ days. After the house is framed, the

diesel generator can be installed in $18$ days. Finishing construction on the generator house

can now begin and will take $12$ more days.

Assignment

$1.$ Identify the critical path on your network.

$2.$ Can the project be completed by October $1?$