A Quality Analyst wants to construct a control chart for determining whether five machines, all producing the same product, are under control with regard to a particular quality variable. Accordingly, four units of putputs from each machine are collected: Machine Measurement 1 Measurement 2 Measurement 3 Measurement 4 M1 274 291 299 276 M2 307 295 274 294 M3 305 306 316 283 M4 303 299 295 299 M5 289 302 277 284 Does this process appear to be out of control? If yes, identify a machine using the factors of three sigma control limits. O a M5 Ob. M4 OC M3 O d. Process is in Control O e. M2 Of M1 Construct the appropriate control chart for the 11 observations, and determine if the process is in control using two sigma limits. No. of defects per unit for the observations are: 2, 10,5, 4, 8, 9, 7, 8, 6, 6, 4, O a. Under control Ob. 3 observations out of control OC. 1 observation out of control Od 2 observations out of control Determine which delivery alternative would be most economical for 150 boxes of parts. Each box costs $326 and the annual holding cost is 20% of the cost. Assume 365 days per year. Overnight delivery option costs $300, and eight- day delivery option costs $125 O a. The overnight option is at least $24 cheaper than eight-day Ob. The overight option is at least $12 cheaper than eight-day OC. The eight-day option is at least $24 cheaper than overnight Od The eight-day option is at least $12 cheaper than overnight Studies on a machine that molds plastic water pipe indicate that when it is injecting 29.86 mm diameter pipe, the process standard deviation is 0.56 mm. The pipe has a specification of 29.86 mm plus or minus 2.57 mm. What is the process capability index (Cp)? O a. 3.06 O b. 0.7649 Oc 1.53 O d. 4.589 Compute the objective function value for the following problem: Min 18X + 414Y subject to : 2X>=0:1X + 23Y = 23; X+Y>=0 a. 234.78261 O b. 414 O c. infeasible Od 0 O e. unbounded Consider the following LP problem with two constraints: 25X + 36Y >= 900 and 15X + 13Y= 195. The objective function is Min 21X + 29Y. What combination of X and Y Will yield the optimum solution for this problem? O a. 13.0 O b. unbounded problem OC. 0.15 Od infeasible problem Oe. 7.6.92308 During the early morning hours, customers arrive at a branch post office at an average rate of 20 per hour (Poisson), while clerks can handle transactions in an average time (exponential) of 2 minutes each. Assume one clerk in the system. If clerk cost is $30 per hour and customer waiting time represents a "cost" of $20 per hour. Compute the total hourly cost for this system. Select one: O a. 110 Ob. 150 Oc: 70 O d. 32