A Quality Analyst wants to construct a control chart for determining whether three machines, all producing the same product, are under control with regard to a particular quality variable. Accordingly, he sampled four units of output from each machine, with the following results : Machine #1 measurements (14, 21, 14, 21); Machine #2 measurements [ 15, 19, 14, 22); Machine #3 measurements [ 18, 24, 22, 20). Using the factors for three sigma control limits, what are x-bar chart upper and lower control limits? O a. 20.56and 16.78 Ob 25.81and 11.53 O c. 39.67and -2.333 Od 23.78and 13.56 Customers arrive at a video rental desk at the rate of 12 per minute(Poisson). Each server can handle 4.001 customers per minute(Poisson). If there are 6 servers, determine the probability of 5 or fewer customers in the system. O a 0.025 Ob 0.001 Oc: 0.049 Od 0.901 A town's department of public works is concerned about adverse public reaction to a sewer project that is currently in progress. Because of this, the Commissioner of Public Works has authorized a weekly survey to be conducted of town residents. Each week, a sample of 100 residents is questioned on their feelings towards the project. The results to date are shown below. Week Number 1 3 4 5 6 7 8 Opposed 10 8 12 6 4 14 8 10 Suggest an appropriate control chart, Select one: O a. p-chart Ob. X-bar chart Oc Control charts are not suitable for this problem. O d. c-chart A decision problem has the following three constraints: 28X + 15Y