A small grocery store needs the following number of cash-iers during each day of a week for day (8:00 a.m. to 4:00p.m.) and evening (4:00 p.m. to midnight) shifts. The storeprefers to employ full-time cashiers who work eight hours aday, five days a week, with two consecutive days off. A half-time cashier works four hours a day up to five days a week(with no requirement for consecutive days off). Note that foreach unit of cashier requirement, two half-time cashiers areneeded because the periods are eight hours long. Determinethe mix of full-time and half-time cashiers and scheduletheir work in order to minimize the total number of cashiersemployed but meet the daily cashier requirements below.Cashiers needed Mon Tue Wed Thu Fri Sat Sun8:00 a.m.-4:00 p.m. 3 4 3 3 5 8 3Cashiers needed Mon Tue4:00 p.m.-12:00 a.m. 2 3 2Wed Thu Fri Sat Sun2 65 3

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Answered: A small grocery store needs the…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter5: Network Models

Section: Chapter Questions

Problem 71P

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During an eight-hour shift, 750 non-defective parts are desired as a result of a manufacturing operation. The default operation time is 15 minutes. As the operators of machine are inexperienced, the actual time they take to perform the operation is 20 minutes, and, on average, a fifth of the parts that start to be manufactured are lost. Assuming that each one of the machines used in this operation will not be available for one hour in each shift, determine the number of machines needed.
The manager of a large group of employees must decideif she needs another photocopying machine. The cost of amachine is $40 per 8-hour day whether or not the machineis in use. An average of 4 people per hour need to use thecopying machine. Each person uses the copier for an averageof 10 minutes. Interarrival times and copying times areexponentially distributed. Employees are paid $8 per hour,and we assume that a waiting cost is incurred when a workeris waiting in line or is using the copying machine. Howmany copying machines should be rented?
A manufacturing facility stores spare parts for maintenance in a storage facility. Throughout theworking day, manufacturing personnel go to the storage facility to pick up supplies needed for theirjobs. The storage facility employees receive a request for supplies, on average, every five minutes fromthe manufacturing personnel. The average request requires 3.2 minutes to fill a request. Manufacturingpersonnel are paid $29.50 per hour and storage facility employees are paid $18.75 per hour. The storagefacility operates 8 hours per day. Base your costs on an 8-hour workday, the given arrival and servicerates, and the fact that when the manufacturing personnel are at the storage site picking up parts – theyare unable to complete their normal job in manufacturing.a) What is the system cost per day (to the nearest $) if there is only 1 storage facility employeeworking?b) What is the system cost per day (to the nearest $) if there are 2 storage facility employeesworking?c) What is the system…
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A machine used for cutting materials in a factory has the following outputs per hour at various speeds and required periodic tool regrinding at intervals cited. Speed Hour Output per Tool RegrindingA 200 pieces every 8 hours B 280 pieces every 5 hours A set of tools costs 560 and can be ground twenty times. Each regrinding costs 54.00 and the time needed to regrind and change tools is 1 hour. The machine operator is paid 35.00 per hour including the time the tool is changed. The tool grinder who also sets the tools to the machine is paid 40.00 per hour. The hourly rate chargeable against the machine is 38.00, regardless of machine speed. Which speed is more ecomical? A. Speed B, 0.096/pc B Speed B, 0.087/pc C. Speed A, .054/pc D. Speed A >037/pc
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Mack's guitar fabrication shop produces low cost, highly durable guitars for beginners. Typically, out of the 100 guitars that begin production each month, only 82 percent are considered good enough to sell. The other 18 percent are scrapped due to quality problems that are identified after they have completed the production process. Each guitar sells for $260. Because some of the production process is automated, each guitar only requires 88 labor hours. Each employee works an average of 160 hours per month. Labor is paid at $10 per hour, materials cost is $42 per guitar, and overhead is $4,200. a. The labor productivity ratio for Mack's guitar fabrication shop is $26.65 per hour. b. The multifactor productivity ratio for Mack's guitar fabrication shop is (Enter your response rounded to two decimal places.)
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Mack's guitar fabrication shop produces low cost, highly durable guitars for beginners. Typically, out of the 100 guitars that begin production each month, only 82 percent are considered good enough to sell. The other 18 percent are scrapped due to quality problems that are identified after they have completed the production process. Each guitar sells for $240. Because some of the production process is automated, each guitar only requires 10 labor hours. Each employee works an average of 160 hours per month. Labor is paid at $10 per hour, materials cost is $40 per guitar, and overhead is $3,800. Part 2 a. The labor productivity ratio for Mack's guitar fabrication shop is

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A small grocery store needs the following number of cash- iers during each day of a week for day (8:00 a.m. to 4:00 p.m.) and evening (4:00 p.m. to midnight) shifts. The store prefers to employ full-time cashiers who work eight hours a day, five days a week, with two consecutive days off. A half-