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4. 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 Measurements Mean #1 17 15 15 17 #2 16 25 18 25 #3 23 24 23 22 For upper and lower control limits of 23.29 and 15.71, which machine(s), if any, appear(s) to have an out-of-control process mean? Explain why? First calculate all 3 means in the Table. Then the answers is: 5. A manager has prepared a forecast of expected aggregate demand for the next six months. Develop an aggregate plan to meet this demand given this additional information: A level production rate of 100 units per month will be used. Backorders are allowed, and they are charged at the rate of $8 per unit per month. Inventory holding costs are $1 per unit per month in ending inventory: Determine the cost of this plan if regular time cost is $20 per unit and beginning inventory is zero. The aggregate plan should look like this (note: Hold.sest End Inv. "Holding cost per unit): Period 2 3 4 S 6 Forecast 80 100 120 110 100 90 Beg. Inv. Production End, Iny. With costs as follows: Period 2 4 Production Holding Cost Backorder Cost 5 6 Total cost of this plan is