Question 1 A supermarket chain is considering opening a supermarket in Montserrat. However, to receive funding from the development bank, the plan must be approved and construction ready to start within the next 26 weeks. One complicating factor is that the planning authorities must see an initial design of the store before it will approve the building permit. The architectural planning section of the chain has determined the following list of activities necessary to receive approval from the development bank. Included are the predecessor relationships and some estimates for the activity completion times (estimates are in weeks). Immediate ACTIVITY DESCRIPTION Predecessors a m Survey building site N B Prepare initial design -- 6 9 10 C Receive Parish Council approval AB N 2 5 D Select design/engineering firm C 5 6 8 E Determine needed cash flow C 4 a F Review final design D 2 A 4 U G Obtain corporate financing E,E N H Receive contractor bids D 11 N Select contractor H.G 4 A a) Draw the project network diagram. b) Calculate the expected duration and variance of all activities. c) Determine earliest start (ES), latest start (LS), earliest finish (EF) and latest finish times (LF) for each activity. d) Calculate the slacks and determine all critical paths and critical activities. e) What is the probability that the project will be completed within the 26-week time frame