injection

injection. At certain times during the day, patient load drops and only one nurse is needed to administer the injections.

Let's focus on the simpler case of the twonamely, when there is one nurse. Also assume that patients arrive in a Poisson fashion and the service rate of the nurse is exponentially distributed. During this slower period, patients arrive with an interarrival time of approximately twenty minutes. It takes the nurse an average of ten minutes to prepare the patients' serum and administer the injection. Use Exhibit_7.12.

a.What is the average number you would expect to see in Dr. Martin's facilities? (Do not round intermediate calculations. Round your answer to 1 decimal place.)

Average number of people in the system

b.How long would it take for a patient to arrive, get an injection, and leave? (Do not round intermediate calculations. Round your answer to the nearest whole number.)

Average total timeminutes

c.What is the probability that there will be three or more patients on the premises? (Do not round intermediate calculations. Round your answer to 4 decimal places.)

Probability

d.What is the utilization of the nurse? (Do not round intermediate calculations. Round your answer to the nearest whole percent.)

Utilization of the nurse%

e.Assume three nurses are available. Each takes an average of ten minutes to prepare the patients' serum and administer the injection. What is the average total time of a patient in the system? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

Average total timeminutes

a.What is the utilization rate of a clinician? (Round your answer to 4 decimal places.)

Utilization

b.What is the average waiting time in line? (Do not round intermediate calculations. Round your answer to the nearest whole number.)

Average waiting timeminutes

To improve patients' experience, Wilshire Clinic decides to divide twenty four clinicians into six teams, each of which consists of 4 clinicians. A patient's information is shared within the team, so a clinician can serve a patient who comes to any clinician on the same team.

c.What is the arrival rate for each team?

Arrival ratepatients/hour

d.What is the utilization rate of a clinician? (Round your answer to 4 decimal places.)

Utilization

e.What is the average waiting time in line? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

Average waiting timeminutes

f.What is the average number of patients waiting in line for each team? (Round your answer to 4 decimal places.)

Average number of patients

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Problem 8-8

Shoney Video Concepts produces a line of videodisc players to be linked to personal computers for video games. Videodiscs have much faster access time than tape. With such a computer/video link, the game becomes a very realistic experience. In a simple driving game where the joystick steers the vehicle, for example, rather than seeing computer graphics on the screen, the player is actually viewing a segment of a videodisc shot from a real moving vehicle. Depending on the action of the player (hitting a guard rail, for example), the disc moves virtually instantaneously to that segment and the player becomes part of an actual accident of real vehicles (staged, of course).

Shoney is trying to determine a production plan for the next 12 months. The main criterion for this plan is that the employment level is to be held constant over the period. Shoney is continuing in its R&D efforts to develop new applications and prefers not to cause any adverse feelings with the local workforce. For the same reason, all employees should put in full workweeks, even if this is not the lowest-cost alternative. The forecast for the next 12 months is

MONTHFORECAST DEMANDMONTHFORECAST DEMAND

January530July130

February730August130

March830September230

April530October630

May330November730

June230December800

Manufacturing cost is $210 per set, equally divided between materials and labor. Inventory storage cost is $4 per month. A shortage of sets results in lost sales and is estimated to cost an overall $20 per unit short.

The inventory on hand at the beginning of the planning period is 210 units. Eight labor hours are required per videodisc player. The workday is Seven hours.

Develop an aggregate production schedule for the year using a constant workforce. For simplicity, assume 22 working days each month except July, when the plant closes down for three weeks' vacation (leaving 6 working days). Assume that total production capacity is greater than or equal to total demand. (Leave no cells blank - be certain to enter "0" wherever required. Negative values should be indicated by a minus sign. Round down your answers to the nearest whole number.)

JanuaryFebruaryMarchAprilMayJuneJulyAugustSeptemberOctoberNovemberDecemberTotal

Forecast530730830530330230130130230630730800

Beginning inventory

Available production

Ending inventory

CostsTotal

Lost sales

Inventory

Total

rev: 04_17_2013_QC_29317

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Problem 8-9

Develop a production schedule to produce the exact production requirements by varying the workforce size for the following problem.

The monthly forecasts for Product X for January, February, and March are 1,010, 1,540, and 1,180, respectively. Safety stock policy recommends that half of the forecast for that month be defined as safety stock. There are 22 working days in January, 19 in February, and 21 in March. Beginning inventory is 530 units.

Manufacturing cost is $180 per unit, storage cost is $6 per unit per month, standard pay rate is $6 per hour, overtime rate is $9 per hour, cost of stockout is $9 per unit per month, hiring and training cost is $210 per worker, layoff cost is $310 per worker, and worker productivity is 0.1 unit per hour. Assume that you start off with 42 workers and that they work 8 hours per day. (Round your answers to nearest whole number. Input all values as positive values. Leave no cells blank - be certain to enter "0" wherever required.)

JanuaryFebruaryMarch

Forecast1,0101,5401,180

Safety stock

Beginning inventory

Net production required

Workers required

Hired

Laid off

Actual production

Ending inventory

JanuaryFebruaryMarch

Labor$ $ $

Inventory

Hiring

Layoff

Total$ $ $

Total$

rev: 09_28_Problem 9-2

In the following MRP planning schedule for Item J, indicate the correct net requirements, planned order receipts, and planned order releases to meet the gross requirements. Lead time is one week. (Leave no cells blank - be certain to enter "0" wherever required.)

WEEK NUMBER

ITEM J012345

Gross requirements704669

On-hand36

Net requirements

Planned order receipt

Planned order release

Period12345

Item JLT = 1Q = L4LGross requirements704669

Scheduled receipts

Projected available balance

Net requirements

Planned order receipts

Planned order releases

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Problem 9-13

Product A consists of three units of Subassembly B, three units of C, and one unit of D. B is composed of two units of E and three units of F. C is made of three units of H and four units of D. H is made of five units of E and two units of G.

d.To produce 100 units of A, determine the numbers of units of B, C, D, E, F, G, and H required using the low-level coded product structure tree.

Level 0100 units of A

Level 1units of B

units of C

Level 2units of F

units of H

units of D

Level 3units of E

units of G

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