The Barberton Municipal division of Road Maintenance is charged with road repair in the city of Barberton and the surrounding area. Vijay Gupta, road maintenance director, must submit a staffing plan for the next year based on a set schedule for repairs and on the city budget. Gupta estimates that the labor hours required for the next four quarters are 6,500, 12,500, 19,000, and 10,000, respectively. Each of the 11 workers on the workforce can contribute 500 hours per quarter. Payroll costs are $6,000 in wages per worker for regular time worked up to 500 hours, with an overtime pay rate of $18 for each overtime hour. Overtime is limited to 20 percent of the regular-time capacity in any quarter. Although unused overtime capacity has no cost, unused regular time is paid at $12 per hour. The cost of hiring a worker is $3,900, and the cost of laying off a worker is $1,500. Subcontracting is not permitted. (Hint: When calculating the number of workers, make sure to round up to the next whole number before proceeding with any further calculations.) a. Find a level workforce plan that relies just on overtime and the minimum amount of undertime possible. Overtime can be used to its limits in any quarter. What is the total cost of the plan? $. (Enter your response as an integer.)

The Barberton Municipal division of Road Maintenance is charged with road repair in the city of Barberton and the surrounding area. Vijay Gupta, road maintenance director, must submit a staffing plan for the next year based on a set schedule for repairs and on the city budget. Gupta estimates that the labor hours required for the next four quarters are 6,500, 12,500, 19,000, and 10,000, respectively. Each of the 11 workers on the workforce can contribute 500 hours per quarter. Payroll costs are $6,000 in wages per worker for regular time worked up to 500 hours, with an overtime pay rate of $18 for each overtime hour. Overtime is limited to 20 percent of the regular-time capacity in any quarter. Although unused overtime capacity has no cost, unused regular time is paid at $12 per hour. The cost of hiring a worker is $3,900, and the cost of laying off a worker is $1,500. Subcontracting is not permitted. (Hint: When calculating the number of workers, make sure to round up to the next whole number before proceeding with any further calculations.) a. Find a level workforce plan that relies just on overtime and the minimum amount of undertime possible. Overtime can be used to its limits in any quarter. What is the total cost of the plan? $. (Enter your response as an integer.)

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section: Chapter Questions

Problem 59P

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The Barberton Municipal division of Road Maintenance is charged with road repair in the city of Barberton and the surrounding area. Vijay Gupta, road maintenance director, must submit a staffing plan for the next year based on a set schedule for repairs and on the city budget. Gupta estimates that the labor hours required for the next four quarters are 6,500 , 12,500 , 19,500 , and 10,000 , respectively. Each of the 11 workers on the workforce can contribute 500 hours per quarter. Payroll costs are $ 6,000 in wages per worker for regular time worked up to 500 hours, with an overtime pay rate of $ 19 for each overtime hour. Overtime is limited to 20 percent of the regular-time capacity in any quarter. Although unused overtime capacity has no cost, unused regular time is paid at $ 12 per hour. The cost of hiring a worker is $ 3,600 , and the cost of laying off a worker is $ 1,000. Subcontracting is not permitted. (Hint: When calculating the number of workers,…
The Barberton Municipal division of Road Maintenance is charged with road repair in the city of Barberton and the surrounding area. Vijay Gupta, road maintenance director, must submit a staffing plan for the next year based on a set schedule for repairs and on the city budget. Gupta estimates that the labor hours required for the next four quarters are 6,500, 13,000, 20,000, and 9,500, respectively. Each of the 11 workers on the workforce can contribute 500 hours per quarter. Payroll costs are $6,000 in wages per worker for regular time worked up to 500 hours, with an overtime pay rate of $18 for each overtime hour. Overtime is limited to 20 percent of the regular-time capacity in any quarter. Although unused overtime capacity has no cost, unused regular time is paid at $12 per hour. The cost of hiring a worker is $3,400, and the cost of laying off a worker is $1,600. Subcontracting is not permitted. (Hint: When calculating the number of workers, make sure to round up to…
The Barberton Municipal division of Road Maintenance is charged with road repair in the city of Barberton and the surrounding area. Vijay Gupta, road maintenance director, must submit a staffing plan for the next year based on a set schedule for repairs and on the city budget. Gupta estimates that the labor hours required for the next four quarters are 6,000, 12,500, 20,000, and 9,500, respectively. Each of the 11 workers on the workforce can contribute 500 hours per quarter. Payroll costs are $6,000 in wages per worker for regular time worked up to 500 hours, with an overtime pay rate of $17 for each overtime hour. Overtime is limited to 20 percent of the regular-time capacity in any quarter. Although unused overtime capacity has no cost, unused regular time is paid at $12 per hour. The cost of hiring a worker is $3,400, and the cost of laying off a worker is $1,800. Subcontracting is not permitted. (Hint: When calculating the number of workers, make sure to round up to the…
The Barberton Municipal division of Road Maintenance is charged with road repair in the city of Barberton and the surrounding area. Cindy Kramer, road maintenance director, must submit a staffing plan for the next year based on a set schedule for repairs and on the city budget. Kramer estimates that the labor hours required for the next four quarters are 6000, 12000, 19500, and 9000, respectively. Each of the 11 workers on the workforce can contribute 500 hours per quarter. Payroll costs are $ 6000 in wages per worker for regular time worked up to 500 hours, with an overtime pay rate of $ 17 for each overtime hour. Overtime is limited to 20 percent of the regular-time capacity in any quarter. Although unused overtime capacity has no cost, unused regular time is paid at $ 12 per hour. The cost of hiring a worker is $ 3800, and the cost of laying off a worker is $ 2000. Subcontracting is not permitted. (Hint: When calculating the number of workers, make sure to round up to…
The Barberton Municipal division of Road Maintenance is charged with road repair in the city of Barberton and the surrounding area. Cindy Kramer, road maintenance director, must submit a staffing plan for the next year based on a set schedule for repairs and on the city budget. Kramer estimates that the labor hours required for the next four quarters are 6,500, 12,000, 19,000, and 9,000, respectively. Each of the 11 workers on the workforce can contribute 500 hours per quarter. Payroll costs are $6,000 in wages per worker for regular time worked up to 500 hours, with an overtime pay rate of $17 for each overtime hour. Overtime is limited to 20 percent of the regular-time capacity in any quarter. Although unused overtime capacity has no cost, unused regular time is paid at $12 per hour. The cost of hiring a worker is $3,300, and the cost of laying off a worker is $1,800. Subcontracting is not permitted. (Hint: When calculating the number of workers, make sure to round up to…
The Barberton Municipal division of Road Maintenance is charged with road repair in the city of Barberton and the surrounding area. Cindy Kramer, road maintenance director, must submit a staffing plan for the next year based on a set schedule for repairs and on the city budget. Kramer estimates that the labor hours required for the next four quarters are 6,000, 12,000, 19,500, and 9,000, respectively. Each of the 11 workers on the workforce can contribute 500 hours per quarter. Payroll costs are $6,000 in wages per worker for regular time worked up to 500 hours, with an overtime pay rate of $18 for each overtime hour. Overtime is limited to 20 percent of the regular-time capacity in any quarter. Although unused overtime capacity has no cost, unused regular time is paid at $12 per hour. The cost of hiring a worker is $4,000, and the cost of laying off a worker is $1,100. Subcontracting is not permitted. (Hint: When calculating the number of workers, make sure to round up to…
The Barberton Municipal division of Road Maintenance is charged with road repair in the city of Barberton and the surrounding area. Cindy Kramer, road maintenance director, must submit a staffing plan for the next year based on a set schedule for repairs and on the city budget. Kramer estimates that the labor hours required for the next four quarters are 7,000, 12,500, 19,500, and 9,000, respectively. Each of the 11 workers on the workforce can contribute 500 hours per quarter. Payroll costs are $6,000 in wages per worker for regular time worked up to 500 hours, with an overtime pay rate of $17 for each overtime hour. Overtime is limited to 20 percent of the regular-time capacity in any quarter. Although unused overtime capacity has no cost, unused regular time is paid at $12 per hour. The cost of hiring a worker is $3,300, and the cost of laying off a worker is $1,400. Subcontracting is not permitted. (Hint: When calculating the number of workers, make sure to round up to…
Jeff Sowing Shop Jeff Sowing Shop was established in 2002 in downtown Kingston. The company currently employs one thousand five hundred (1,500) employees. In order to meet the Christmas demand, the company is considering employing an additional five hundred and fifty (550) workers and establishing a shift system. The first shift will work from 8 a.m. to 3 p.m. and the second shift from 3. p.m. to 11 p.m. Management took a decision not to pay a shift premium but told the workers in a meeting that they will be given a bonus at the end of the year providing the set targets are achieved. The workers were unhappy with the outcome of the meeting and decided to discuss the matter with their trade union. A delegation from the union met with management and the meeting ended in a stalemate. A second meeting was set to resolve the conflict. Prior to that meeting, management met and agreed that their position is right and they are not going to change. At the second meeting, both teams held their…
A college provides free tutoring services for its students 7 days a week, and the daily requirements for tutors are: Day M T W Th F S Su Requirements 5 4 7 3 6 3 4 Find the minimum number of tutors required if each tutor works 4 days a week and has 3 consecutive days off. Give preference to Saturday and Sunday off in case of a tie. (Hint: Look for group of 3 days with the lowest requirements). Specify the work schedule for each tutor. How much slack does your schedule generate for each day?
The chairperson of the department of management at Tech wants to forecast the number of students who will enroll in operations management next semester in order to determine how many sections to schedule. The chair has accumulated the following enrollment data for the past 15 semesters: Using 2 Semester Weighted moving average compute the forecasted number of student for semester 16 the weight are 4 for the most recent semester and 2 for the older one. Semester Students Enrolled in OM 1 270 2 310 3 250 4 290 5 370 6 410 7 400 8 450 9 440 10 470 11 520 12 515 13 525 14 542 15 503
Baking dog treats in her kitchen has been a simple process for Emma to manage. She has two ovens, one sink, a refrigerator, and enough room for two people to work at the same time. However, when Emma moves her business out of her home, she will have a commercial kitchen that can accommodate as many as six people working simultaneously. She had never thought of her business as “production” until the real estate agent who showed her the space asked how many production workers she needs to accommodate. At that point, Emma realized she would be running a production system. Even worse, she realized that she had never even visited a manufacturing facility or set foot on a real production floor. How will she ever manage this process?
The Gardner Theater, a community playhouse, needs to determine the lowest-cost production budget for an upcoming show. Specifically, they have to determine which set pieces to construct and which, if any, set pieces to rent from another local theater at a predetermined fee. However, the organization has only two weeks to fully construct the set before the play goes into technical rehearsals. The theater has two part-time carpenters who work up to 12 hours a week, each at $10 an hour. Additionally, the theater has a part-time scenic artist who can work 15 hours per week to paint the set and props as needed at a rate of $15 per hour. The set design requires 20 flats (walls), two hanging drops with painted scenery, and three large wooden tables (props). The number of hours required for each piece for carpentry and painting is shown below: Gardner Theater Hours Required/Piece Carpentry Painting Flats 0.5 2.0 Hanging Drops 2.0 12.0 Props 3.0 4.0 Hours Available 48.0…