Smart housing Inc. is negotiating a deal to build a house. The owner wants to start in early spring when the weather begins to moderate and build through the summer into the fall. The completion time is so critical for the owner that they insisting a project management network accompany the proposal with an estimate of the completion time for the house. The smart housing Inc. are experienced builders , so they listed the activities involved in building a house and times for each activity (optimistic(a),realistic (m), pessimistic (b)) as per the below table