Question 1 (6 points) Webster Chemical Company produces mastics and caulking for the construction industry. The product is blended in large mixers and then pumped into tubes and capped. Webster is concerned whether the filling process for tubes of caulking is in statistical control. The process should be centered on 8 ounces per tube. Several samples of eight tubes are taken and each tube is weighed in ounces. Assuming that taking only 6 samples is sufficient, is the process in statistical control? Tube Number Sample 1 2 3 4 5 7 8 1 7.98 8.34 8.02 7.94 8.04 7.98 7.81 8.11 2 8.23 8.12 7.98 8.41 8.31 8.18 7.99 8.06 3 7.89 7.77 7.91 8.04 8.00 7.89 7.93 8.09 4 8.24 8.18 7.83 8.05 7.90 8.16 7.97 8.07 5 7.87 8.13 7.92 7.99 8.10 7.81 8.14 7.88 6 8.13 8.14 8.11 8.13 8.14 8.12 8.13 8.14 Question 2 (9 points) The annual demand, ordering cost, and the inventory carrying cost rate for a certain item are D = 10,000 units, S= $75/order and I = 20% of item price. Price is established by the following quantity discount schedule. What should the order quantity be in order to minimize the total annual cost? Quantity Price 1 to 999 $2.50/unit 1,000 to 4,999 $2.30/unit 5,000 and up $1.85/unit Question 3 (5 points) A project consists of the activities in the following table. Times are given in weeks Activity Preceding Time A 2 B 3 C A 7 D A, B 3 E C 4 F D 6 a. Draw the network diagram b. Calculate the ES, EF, LS, LF, and slack for each activity C. What is this project completion time?