The previous table contains information related to the major activities of a research project. Use the information to do the following: each case may require the use of a dummy activity. (a)Draw a precedence diagram using AOA (b) Find the critical path based AOA. (c) Determine the expected length of the project. (d) Calculate the amount of slack time for each path as well as ES, EF, LS and LF (e)Briefly explain the scenario. Given the following diagram: Compute (a) Draw a precedence diagram (b) Find the expected time, critical path, the expected duration, path the variance and the std. deviation (c) the probability that the project can be completed within 15 and 16 weeks of its start for critical path only. (d) Briefly explain. Section B/Type2-PERT-35\% Given the following diagram: Surge Electric uses 4000 toggle switches a year. Switch are priced in the following table. It costs approximately $180 to prepare an order and receive it, and carring costs are 18 percent of purchase price per unit on an annual basis. Determine (a) the common EOQ (b) the total cost if the feasible minimum point is on the lowest price range, that is the optimal order quantity. (c) the total cost if the feasible minimum point is in any other price range. 23 A carpet shop sells super carpet with the lead time receiving a new order is 10 days. Demand (uncertain or variable) during lead time could be described by a normal distribution that has a mean of 30 yards and a standard deviation of 5 yard per day whereas stockout risk of no more than 5 percent and safety stock for a service level of 95%. (a) What value of Z is appropriate? (b) How much safety stock should be held? (c) What reorder point should be used