Question

In: Statistics and Probability

20 police officers work at Kadıköy Police Station. Each officer works for 5 days per week....

20 police officers work at Kadıköy Police Station. Each officer works for 5 days per week. The crime rate fluctuates with the day of week, so the number of the police officers required each day depends on which day of the week it is: Monday, 10; Tuesday, 13; Wednesday, 14; Thursday, 16; Friday, 14; Saturday, 18; Sunday, 10. The Police Station wants to schedule police officers to maximize the number of the officers whose days off are consecutive. Formulate an LP that will accomplish this goal and solve the problem.

Solutions

Expert Solution


Related Solutions

The NYPD employs 20 police officers. Each officer works for 5 days per week. The crime...
The NYPD employs 20 police officers. Each officer works for 5 days per week. The crime rate fluctuates with the day of week, so the number of the police officers required each day depends on which day of the week it is: Monday, 11; Tuesday, 12; Wednesday, 14; Thursday, 15; Friday, 14; Saturday, 18; Sunday;8. The Police Station wants to schedule police officers to maximize the number of the officers whose days off are consecutive. Formulate LP and solve the...
The NYPD employs 20 police officers. Each officer works for 5 days per week. The crime...
The NYPD employs 20 police officers. Each officer works for 5 days per week. The crime rate fluctuates with the day of week, so the number of the police officers required each day depends on which day of the week it is: Monday, 11; Tuesday, 12; Wednesday, 14; Thursday, 15; Friday, 14; Saturday, 18; Sunday;8. The Police Station wants to schedule police officers to maximize the number of the officers whose days off are consecutive. Formulate LP and solve the...
A firm works 5 days a week. Every employee must work exactly 2 full days and...
A firm works 5 days a week. Every employee must work exactly 2 full days and 3 half-days each week. A half-day can be either morning or afternoon, and two half-days cannot be held on the same day. How many possible different weekly schedules are there? if the firm has 374 employees, how many people must have the same work schedule for a particular week? What is the smallest number of employees needed to guarantee at least 7 workers have...
Problem-Solving Case: Suspensions of Lexington, Kentucky, Police Officers A police officer in Lexington, Kentucky, was troubled...
Problem-Solving Case: Suspensions of Lexington, Kentucky, Police Officers A police officer in Lexington, Kentucky, was troubled by content some other officers had posted on the MySpace.com networking Web site. These officers discussed their work, includ- ing arrests they had made. Their postings included put-downs such as slurs about gays and mentally disabled people and comments that they worked for Lexington’s “snobby peo- ple” and the “Lexington Fayette Urban Commu- nist [instead of County] Government.” Photos on these officers’ MySpace pages...
The Officer In charge at Woodlands Police Station is concerned with preserving the Integrity of Zambia...
The Officer In charge at Woodlands Police Station is concerned with preserving the Integrity of Zambia police service. It is his desire to have a female office in every team selected for any operation. The station has nine officers in the traffic section, five of whom are male. i. In how many ways may a team of five consisting of at least one female officer be selected to go on patrol? [5 marks] Page 3 of 12 ii. What is...
23 years old, makes $14 per hour (8hour), works for 5 days a week. Please use...
23 years old, makes $14 per hour (8hour), works for 5 days a week. Please use this information for the following questions. The answer to number 6 is $1,095,657.55 and The answer to number 5 is $80,620.37 7.How much do you need to save per month (at the end of each month) in an investment earning 7% per year now to reach the amount in Question 6 by age 65? Assume you have no money now in the investment. 8.Then...
QUESTION 1 The Jubail Bicycle Shop operates 7 days per week, closing 5 days each for...
QUESTION 1 The Jubail Bicycle Shop operates 7 days per week, closing 5 days each for Eid-ul-Fitr and Eid- Ul -Adah (this gives 355 working days in a year). The shop pays SAR 600 for a particular bicycle purchased from the manufacturer. The annual holding cost per bicycle is estimated to be 25% of the SAR value of inventory. The shop sells an average of 25 bikes per week. Frequently, the dealer does not have a bike in stock when...
The Jubail Bicycle Shop operates 7 days per week, closing 5 days each for Eid-ul-Fitr and...
The Jubail Bicycle Shop operates 7 days per week, closing 5 days each for Eid-ul-Fitr and Eid- Ul -Adah (this gives 355 working days in a year). The shop pays SAR 600 for a particular bicycle purchased from the manufacturer. The annual holding cost per bicycle is estimated to be 25% of the SAR value of inventory. The shop sells an average of 25 bikes per week. Frequently, the dealer does not have a bike in stock when a customer...
At Lummins Engine Corporation, production employees work 10 hours per day, four days per week. Each...
At Lummins Engine Corporation, production employees work 10 hours per day, four days per week. Each day of the week, at least the following number of employees must be working: Monday through Friday, seven employees; Saturday and Sunday, three employees. Lummins has set the following goals, listed in order ofpriority: ■ Goal 1: Meet employee requirements with 11 workers. ■ Goal 2: The average number of weekend days off per employee should be at least 1.5 days. ■ Goal 3:...
You live 20 miles away from your job, where you work five days per week (except...
You live 20 miles away from your job, where you work five days per week (except for a two-week vacation every year). Your car gets 35 miles per gallon, on average. If the average price per gallon of gas is $2.50, how much should you budget for gas for your commute in your annual budget? You are considering a new job that is 30 miles from where you live. How much more will your commute cost you each year? If...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT