The Clark County Sheriff’s Department schedules police officers for 8-hour shifts. The beginning times for the shifts are 8:00 a.m., noon, 4:00 p.m., 8:00 p.m., midnight, and 4:00 a.m. An officer beginning a shift at one of these times works for the next 8 hours. During normal weekday operations, the number of officers needed varies depending on the time of day. The department staffing guidelines require the following minimum number of officers on duty: Time of Day Minimum No. of Officers on Duty 8:00 a.m.–noon 7 Noon–4:00 p.m. 6 4:00 p.m.–8:00 p.m. 7 8:00 p.m.–midnight 7 Midnight–4:00 a.m. 4 4:00 a.m.–8:00 a.m. 6 Determine the number of police officers who should be scheduled to begin the 8-hour shifts at each of the six times to minimize the total number of officers required. (Hint: Let x1 = the number of officers beginning work at 8:00 a.m., x2 = the number of officers beginning work at noon, and so on.) If your answer is zero, enter “0”. Starting Time Officers Starting 8:00 a.m. Noon 4:00 p.m. 8:00 p.m. Midnight 4:00 a.m.

The Clark County Sheriff’s Department schedules police officers for 8-hour shifts. The beginning times for the shifts are 8:00 a.m., noon, 4:00 p.m., 8:00 p.m., midnight, and 4:00 a.m. An officer beginning a shift at one of these times works for the next 8 hours. During normal weekday operations, the number of officers needed varies depending on the time of day. The department staffing guidelines require the following minimum number of officers on duty: Time of Day Minimum No. of Officers on Duty 8:00 a.m.–noon 7 Noon–4:00 p.m. 6 4:00 p.m.–8:00 p.m. 7 8:00 p.m.–midnight 7 Midnight–4:00 a.m. 4 4:00 a.m.–8:00 a.m. 6 Determine the number of police officers who should be scheduled to begin the 8-hour shifts at each of the six times to minimize the total number of officers required. (Hint: Let x1 = the number of officers beginning work at 8:00 a.m., x2 = the number of officers beginning work at noon, and so on.) If your answer is zero, enter “0”. Starting Time Officers Starting 8:00 a.m. Noon 4:00 p.m. 8:00 p.m. Midnight 4:00 a.m.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter10: Introduction To Simulation Modeling

Section10.6: The Effects Of Input Distributions On Results

Problem 28P

See similar textbooks

Similar questions

Mark Sumansky owns and manages the Grass, Unlimited, Lawn-care service in Middleton. His customers include individual homeowners and businesses that subscribe to his service for lawn care beginning in the spring and ending in the fall with leaf raking and disposal. Thus, when he begins his service in April he generally has a full list of customers and does not take on additional customers any time after the first of June, it is difficult to find new customers, since most people make lawn service arrangements forth the entire summer. Mark employs five crews, with three to five workers each, to cut grass during the spring and summer months. A crew normally works 10-hour days and can average cutting about 25 normal-size lawns of less than a half-acre each day. A crew will normally have one heavy-duty, wide-cut riding mower, a regular power mower, and trimming equipment. When a crew descends on a lawn, the normal procedure is for one person to mow the main part of the lawn with the riding…
The newly-established pediatric department of a local hospital is in need of full-time nurses who will work in 8-hour shift per day and part-time nurses who will work in 4-hour shifts per day. Each day is divided into 6 four-hours periods, which requires different number of nurses., as shown in the table below: Time Period Index Time Period Covered 7am - 11am. 11am-3pm 3pm - 7pm 7pm - 11pm 11pm-3am 3am - 7am 1 2 3 4 5 6 Required Number of Nurses 7 9 12 5 4 3 The shifts of full-time nurses can begin at the start of any of the four-hour periods. Hospital policy requires that there must be at least two full-time nurses at each time period. Also, the number of part-time nurses cannot exceed the number of full-time nurses in any time period. Full-time nurses get paid at $160 per shift, while the part-time nurses get paid at $50 per shift. Formulate a linear programming model that will determine the nursing schedule so as to minimize the total cost.
Lee Beedo, a hip bachelor in Edmond, has a date for Saturday night and finds himself without a thing to wear. Faced with the daunting task of doing enough laundry to fully accessorize during his night out, Lee has sorted his clothes into loads according to fabric and color. Based on his vast experience doing laundry, Lee knows how long each load will take in both the washer and the dryer. He glances at his watch; it is now 2:00 p.m. and he has to have the last load dry by 8:30 p.m. to be there in time. Help Lee develop a schedule that will enable him to make his date on time and depict that schedule using a Gantt chart. Can he make it and, if so, by how much?
Decorum, Inc., manufactures high-end ceiling fans. Their sales are seasonal with higher demand in the warmer summer months. Typically, sales average 400 units per month. However, in the hot summer months (June, July, and August), sales spike up to 600 units per month. Decorum can produce up to 500 units per month at a cost of $300 each. By bringing in temporary workers, Decorum can produce up to an additional 75 units at a cost of $350 each. Decorum sells the ceiling fans for $500 each. Decorum can carry inventory from one month to the next, but at a cost of $20 per ceiling fan per month. Decorum has 25 units in inventory at the start of January. Assuming Decorum must produce enough ceiling fans to meet demand, how many ceiling fans should Decorum produce each month (using their regular labor force and/or temporary workers) over the course of the next year so as to maximize their total profit? We have a total of type your answer...
The Stratton Company produces two basic types of plastic pipe. Three resources are crucial to the output of pipe: extrusion hours, packaging hours, and a special additive to the plastic raw material. The following data represent next week’s situation. All data are expressed in units of 100 feet of pipe. Product Resource Type 1 Type 2 Resource Availability Extrusion Packaging Additive mix 4 hr 2 hr 2 lb 6 hr 2 hr 1 lb 48 hr 18 hr 16 lb The contribution to profits and overhead per 100 feet of pipe is $34 for type 1 and $40 for type 2. Formulate a linear programming model to determine how much of each type of pipe should be produced to maximize contribution to profits and to overhead, assuming that everything produced can be sold.
A manufacturing plant produces a product 'A' that requires one unit of 'B' and ½ unit of 'C'. Each unit of 'B' is comprised of one unit of 'D', two units of 'E', and one unit of 'F'. Each unit of 'C' requires ½ unit of 'G' and three units of 'H'. The manufacturing lead times for the components are as follows: 'A' - two weeks, 'B' - one week, 'C' - two weeks, 'D' - two weeks, 'E' - three weeks, 'F' - one week, 'G' - two weeks, 'H' - one week. There are 20 units in stock for each of these components. 100 units of 'A' are needed for delivery in seven weeks: a) Develop the product structure and indexed bill of materials for the product. b) Create a gross and net requirements plan for the manufacturer of the product.
A consulting company must hire 15 new associates per year to replace those who haveleft the company for other positions or have retired. The company employs 120 associates overall. How long is the average associate employed at the consulting company?
The Fly-Right Airplane Company builds small jet airplanes to sell to corporations for use by their executives. To meet the needs of these executives, the company's customers sometimes order a custom design of the airplanes being purchased. When this occurs, a substantial start-up cost is incurred to initiate the production of these airplanes. Fly-Right has recently received purchase requests from three customers with short deadlines. However, because the company's production facilities already are almost completely tied up filling previous orders, it will not be able to accept all three orders. Therefore, a decision now needs to be made on the number of airplanes the company will agree to produce (if any) for each of the three customers. The relevant data are given in the next table. The first row gives the start-up cost required to initiate the production of the airplanes for each customer. Once production is under way. the marginal net revenue (which is the purchase price minus the…
A call center employs 1,425 agents. Every month 57 employees leave the company and 57 new employees are hired. a. How long on average does an agent work for this call center (in months) Suppose the cost of hiring and training a new agent is $1,140. The manager of this call center believes that increasing agents’ salaries would keep them working longer at the company. The manager wants to increase the average time that an agent works for the call center to 36 months, or three years. b-1. Given the current average working time for agents at this call center, determine the current annual cost for hiring and training. b-2. Assuming the average time that an agent works for the call center is increased to 36 months, determine the new annual cost for hiring and training. b-3. If the time an agent works for the call center is increased to 36 months on average, how much could the company save on hiring and training costs over a year?
Harvesting Fruit Toward the middle of the harvesting sea-son, peaches for canning come in three types, early, late, and extra late, depending on the expected date of ripening. During a certain week, the following data were recorded at a fruit delivery station:34 trucks went out carrying early peaches;61 carried late peaches;50 carried extra late;25 carried early and late;30 carried late and extra late;8 carried early and extra late;6 carried all three;9 carried only fgs (no peaches at all).(a) How many trucks carried only late variety peaches?(b) How many carried only extra late?(c) How many carried only one type of peach?(d) How many trucks (in all) went out during the week?
Harvesting Fruit Toward the middle of the harvesting sea-son, peaches for canning come in three types, early, late, and extra late, depending on the expected date of ripening. During a certain week, the following data were recorded at a fruit delivery station:34 trucks went out carrying early peaches;61 carried late peaches;50 carried extra late;25 carried early and late;30 carried late and extra late;8 carried early and extra late;6 carried all three;9 carried only fgs (no peaches at all). (a) How many trucks carried only late variety peaches?(b) How many carried only extra late?(c) How many carried only one type of peach?(d) How many trucks (in all) went out during the week? with a venn diagram
The minimum daily need for workers operate at a manufacturing facility: Time (24 hours day) Minimum no. of workers needed 9 6 AM - 10 AM 10 AM - 2 PM 5 2 PM-6 PM 12 6 6 PM-10 PM 10 PM - 2 AM 2 AM - 6 AM Period 1 2 3456 9 16 6 At the start of each shift, workers arrive at the facility and operate for an uninterrupted 8 hours. In order to have enough workers accessible at all times, the manufacturer seeks to calculate the minimum number of workers that should be employed.

SEE MORE QUESTIONS

Recommended textbooks for you

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

SEE MORE TEXTBOOKS

GET THE APP

About FAQ Academic Integrity Sitemap Document Sitemap

Contact Bartleby Contact Research (Essays)High School Textbooks Literature Guides Concept Explainers by Subject Essay Help Mobile App

GET THE APP

Privacy

Your CA Privacy Rights

Your NV Privacy Rights

About Ads

Manage My Data

bartleby, a Learneo, Inc. business

	Time of Day	Minimum No. of Officers on Duty
	8:00 a.m.–noon	7
	Noon–4:00 p.m.	6
	4:00 p.m.–8:00 p.m.	7
	8:00 p.m.–midnight	7
	Midnight–4:00 a.m.	4
	4:00 a.m.–8:00 a.m.	6

	Starting Time	Officers Starting
	8:00 a.m.
	Noon
	4:00 p.m.
	8:00 p.m.
	Midnight
	4:00 a.m.