Problem 1 Network Analysis Palafox Construciton Firm, Inc. will soon begin to work on a buildingfor US Tea that was initially started by another firm that has gone out of business. The construction firm's schedule of activities and related expected completions times for US Tea project are presented in the followingtime table: weeks! A-B Obtain on-site work permits 1 B-E Repair damages done by vandals 6 3-8 Inspect construction materials left on 1 site C-E Order and receive additional 2 construction materials C-D Apply for waiver to add new materials 2 D-E Obtain waiverto add new materials 2 E-F Perform electric work 12 HS Complete interior partitions 4 Required: a. Prepare the PERT network. b. Identify critical path and determine the path's expected time in weeks forthe project. c. Which path requires the shortest time to complete? What is the path's slack time? Problem 2. Probability Analysis Tamansky Sports Club sells cold sodas at Far East College's home basketball games. In the year 2021,thefrequency of distribution ofthe demand for cups of sodas per day is presented below: [2021 had 360 operating days] Sales Volume in Cups Frequency 2,000 48 days 5,000 80 days 6,000 144 days 8,000 32 days 10,000 16 days Required: Determine next years' estimated daily demand for cups of sodas at Far East College's home games using: a. Deterministic approach [based on most likely event] b. Expected value approach Problem 3. Learning Curves A particular manufacturingjob is subject to an estimated 80% leaming curve. The first unit required 20 direct labor hours to complete. Required: a. What is the cumulative average time per unit after four units are completed? b. What is the total time required to produce 2 units? c. How many hours are required to produce the second unit