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Quarter | Guests (in thousands) | Quarter | Guests (in thousands) |
---|---|---|---|
Winter Year 1 | 63 | Summer Year 2 | 125 |
Spring Year 1 | 89 | Fall Year 2 | 51 |
Summer Year 1 | 155 | Winter Year 3 | 94 |
Fall Year 1 | 77 | Spring Year 3 | 161 |
Winter Year 2 | 65 | Summer Year 3 | 210 |
Spring Year 2 | 84 | Fall Year 3 | 97 |
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Nationwide Auto Parts uses a periodic review inventory control system for one of its stock items. The review interval is 12 weeks, and the lead time for receiving the materials ordered from its wholesaler is 4 weeks. Weekly demand is normally distributed, with a mean of 125 units and a standard deviation of 25 units. Refer to the standard normal table LOADING... for z-values. a. What is the average and the standard deviation of demand during the protection interval? The average demand during the protection interval is nothing units. (Enter your response as an integer.)
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Consider again the company making tires for bikes is concerned about the exact width of their cyclocross tires. The company has a lower specification limit of 22.6 mm and an upper specification limit of 22.8 mm. The standard deviation is 0.16 mm and the mean is 22.7 mm.
a. What is the probability that a tire will be too narrow?
b. What is the probability that a tire will be too wide?
c. What is the probability that a tire will be defective?
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The following gives the number of pints of type A blood used at Woodlawn Hospital in the past 6 weeks.
WEEK OF | PINTS USED |
---|---|
August 31 | 360 |
September 7 | 389 |
September 14 | 410 |
September 21 | 381 |
September 28 | 368 |
October 5 | 374 |
a. Forecast the demand for the week of October 12 using a 3-week moving average.
b. Use a 3-week weighted moving average, with weights of .1, .3, and .6 using .6 for the most recent week. * Then, forecast demand for the week of October 12.
c. Compute the forecast for the week of October 12 using exponential smoothing with a forecast for August 31 of 360 and a=.2
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A horizontal force of P = 56kN is applied to joint C. Each pin has a diameter of 25 mm and is subjected to double shear.
Determine the average shear stress developed in pin Aof the truss.
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Consider again that the company making tires for bikes
is concerned about the exact width of its cyclocross tires. The
company has a lower specification limit of 22.8 mm and an upper
specification limit of 23.2 mm. The standard deviation is 0.15 mm
and the mean is 23 mm. The company now wants to reduce its defect
probability as 0.01. To what level would it have to reduce the
standard deviation in the process to meet this
target?
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George Kyparisis owns a company that manufactures sailboats. Actual demand for George's sailboats during each of the past four seasons was as follows:
Season | 1 | 2 | 3 | 4 |
---|---|---|---|---|
Winter | 1,440 | 1,240 | 1,000 | 960 |
Spring | 1,500 | 1,440 | 1,640 | 1,540 |
Summer | 1,000 | 2,100 | 2,040 | 2,000 |
Fall | 640 | 750 | 670 | 520 |
George has forecasted that annual demand for his sailboats in year 5 will equal 6,500 sailboats.
Based on the given data and using the multiplicative seasonal model, the demand level for George's sailboats in the spring of year 5 will be _______ sailboats (enter a whole number).
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An axial flow fan 1.83 m diameter is designed to run at a speed of 1400 rev/min with an average axial air velocity of 12.2 m/s. A quarter scale model has been built to obtain a check on the design and the rotational speed of the model fan is 4200 rev/min. Determine the axial air velocity of the model so that dynamical similarity with the full-scale fan is preserved. The effects of Reynolds number change may be neglected.
A sufficiently large pressure vessel becomes available in which the complete model can be placed and tested under conditions of complete similarity. The viscosity of the air is independent of pressure and the temperature is maintained constant. At what pressure must the model be tested?
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Race One Motors is an Indonesian car manufacturer. At its largest manufacturing facility, in Jakarta, the company produces subcomponents at a rate of 305 per day, and it uses these subcomponents at a rate of 12,700 per year (of 250 working days). Holding costs are $3 per item per year, and ordering costs are $31 per order.
a) What is the economic production quantity? 561.21 units (round your response to two decimal places).
b) How many production runs per year will be made? 22.63 production runs (round your response to two decimal places)
c) What will be the maximum inventory level? 467.71 units (round your response to two decimal places).
d) What percentage of time will the facility be producing components? 16.66 % enter your response as a percentage rounded o two decimal laces
e) What is the annual cost of ordering and holding inventory? $ 701.57 (round your response to two decimal places)
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(Yoggo Soft Drink) A small, privately owned Asian company is producing a private-label soft drink, Yoggo. A machine-paced line puts the soft drinks into plastic bottles and then packages the bottles into boxes holding 10 bottles each. The machine-paced line is com-prised of the following four steps: (1) the bottling machine takes 1 second to fill a bottle, (2) the lid machine takes 3 seconds to cover the bottle with a lid, (3) a labeling machine takes 5 seconds to apply a label to a bottle, and (4) the packaging machine takes 4 seconds to place a bottle into a box. When a box has been filled with 10 bottles, a worker tending the packaging machine removes the filled box and replaces it with an empty box. Assume that the time for the worker to remove a filled box and replace it with an empty box is neg-ligible and hence does not affect the capacity of the line. At step 3 there are two labeling machines that each process alternating bottles; that is, the first machine processes bottles 1, 3, 5, . . . and the second machine processes bottles 2, 4, 6, . . . . Problem data are sum-marized in the table following.
a. What is the process capacity (bottles/hour) for the machine-paced line?
b. What is the bottleneck in the process?
c. If one more identical labeling machine is added to the process, how much is the increase in the process capacity going to be (in terms of bottles/hour)?
d. What is the implied utilization of the packaging machine if the demand rate is 60 boxes/ hour? Recall that a box consists of 10 bottles.
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Suppose that a disk drive has 6,000 cylinders, numbered 0 to 5999. The drive is currently serving a request at cylinder 3150, and the previous request was at cylinder 1805 (Hint: this indicates the reading head's moving direction). The queue of pending requests, in FIFO order, is:
3511, 2332, 2800, 3192, 658, 1296, 1918, 1356, 5936, 2527
Starting from the current head position, what is the total distance in cylinders) that the disk arm moves to satisfy all the pending requests for each of the following disk-scheduling algorithms?
a. FCFS
b. SSTF
c. SCAN
d. LOOK
e. C-SCAN
f. c-LOOK
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The actual demand for the patients at Omaha Emergency Medical Clinic for the first 6 weeks of this year follows:
WEEK | ACTUAL NO. OF PATIENTS |
---|---|
1 | 65 |
2 | 62 |
3 | 70 |
4 | 48 |
5 | 63 |
6 | 52 |
Clinic administrator Marc Schniederjans wants you to forecast patient demand at the clinic for week 7 by using this data. You decide to use a weighted moving average method to find this fore-cast. Your method uses four actual demand levels, with weights of 0.333 on the present period, 0.25 one period ago, 0.25 two periods ago, and 0.167 three periods ago.
a) What is the value of your forecast?
b) If instead the weights were 20, 15, 15, and 10, respectively, how would the forecast change? Explain why.
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Brine (specific gravity 1.20) is flowing through a standard 80-mm pipe at a maximum rate of 0.9 m3/min. In order to measure the rate of flow, a sharp-edged orifice, connected to a simple U-manometer is to be installed. The maximum reading of the manometer is to be 400 mm Hg. What size orifice should be installed? Repeat, assuming a venturi meter is used instead of an orifice.
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