Moore Housing Contractors is negotiating a deal with Countryside Realtors to build six houses in a new develop- ment. Countryside wants Moore Contractors to start in late winter or early spring, when the weather begins to moder- ate, and build on through the summer and into the fall. The summer months are an especially busy time for the realty company, and it believes it can sell the houses almost as soon as they are ready, and maybe even before. The houses all have similar floor plans and are of approximately equal size; only the exteriors are noticeably different. The comple- tion time is so critical for Countryside Realtors that it is insisting that a project management network accompany the contractor's bid for the job, with an estimate of the comple tion time for a house. The realtor also needs to be able to plan its offerings and marketing for the summer. It wants each house to be completed within 45 days after it is started. If a house is not completed within this time frame, it wants to be able to charge the contractor a penalty. Mary and Sandy Moore, the president and vice president, respectively, of Moore Contractors, are concerned about the prospect of a penalty charge. They want to be very confident that they can meet the deadline for a house before they enter into any kind of agreement with a penalty involved. (If there is a reasonable likelihood that they cannot finish a house within 45 days, they want to increase their bid to cover potential penalty charges.) The Moores are experienced home builders, so it was not difficult for them to list the activities involved in build- ing a house or to estimate activity times. However, they made their estimates conservatively and tended to increase their pessimistic estimates to compensate for the possibility of bad weather and variations in their workforce. A list of the activities involved in building a house and the activity time estimates follow. Activity a b Activity Description Excavation, pour footers Lay foundation Activity Predecessor a Time (days) m b 3 4 6 a 2 3 5 c Frame and roof b 2 4 5 d Lay drain tiles b 1 2 4 e Sewer (floor) drains b 1 2 3 f Install insulation c 2 4 5 3 Pour basement floor e 2 3 5 h Rough plumbing, pipes e 2 4 7 i Install windows f 1 3 4 j Rough electrical wiring f 1 2 4 k Install furnace, air conditioner c.g 3 5 8 1 Exterior brickwork i 5 6 10 m Install plasterboard, mud, plaster j.h.k 6 8 12 n Roof shingles, flashing 1 2 3 6 0 Attach gutter, downspouts n 1 2 $ P Grading d, o 2 3 7 4 Lay subflooring m 3 4 6 T Lay driveway, walks, landscape P 4 6 10 S Finish carpentry 3 5 12 t Kitchen cabinetry, sink, and appliances 9 2 4 8 Bathroom cabinetry, fixtures 2 3 6 V Painting (interior and exterior) LU 4 6 10 W Finish wood floors, lay carpet V, 5 2 5 8 x Final electrical, light fixtures V 1 3 4 a. Develop a CPM/PERT network for Moore Housing Contractors and determine the probability that the company can complete a house within 45 days. Does it appear that the Moores might need to increase their bid to compensate for potential penalties? b. Indicate which project activities Moore Housing Contractors should be particularly diligent to keep on schedule by making sure workers and materials are always available. Also indicate which activities the company might shift workers from as the need arises.