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at day. lers needed at different hours of a day (from 9 am. to 5 pm) at one of its branches. 11 hire two different types of Employees/tellers: Full-time Teller and Part-time Tellers. The following is a Le info. ime Employees: The bank currently has employed 18 Full time =/employees. Full-time tellers that work from 9 a.m. to 5 p.m. ach full-timer will be paid $85 per day on average. he 18 employees can't be layoff. However, the manager may use only art of the 18 Full-Time Employees in this branch and relocate the rest to nother branch with a relocation-related cost $10 per-employee per-day. hat is, the employees to be relocated to another department will cost this epartment $10, instead of $85, a day. ull-timers will have 1-hour lunchtime. To better use the workforce, the anager will divide the Full-timers (working in this branch) lunchtime into groups (not necessarily equal size). One group will have lunchtime etween 11-noon and the Rest will have lunchtime between noon-1pm. # of Tellers Time Period Needed 9 a.m.-10 a.m. 10 a.m.-11 a. m. 18 11 a.m.-Noon 14 Noon-1 p.m. 10 1 p.m.-2 p.m. 18 |2 р.т.-3 р.т. 16 |3 p.m.-4 p.m. 12 4 p.m.-5 p.m. ime Employee: The bank will hire Part-time Employees, many are ble, to cover part of the tellers needed. ach part-time employee will be hired for one of the 4-hour shifts which start any hour between 9 a.m. and 1 m. ach part-timer will be paid $40 per 4-hour shift on average. here is no lunchtime for part-timers. he bank limits part-time hours to a maximum of 40% of the day's total labor hours. ager needs to make decisions on the number of full-timers to be used in the branch, the number of part-time pe hired in Each 4-hour shift so that the total work-force related costs, that include Full timer cost, Part time ation cost are minimized.

at day. lers needed at different hours of a day (from 9 am. to 5 pm) at one of its branches. 11 hire two different types of Employees/tellers: Full-time Teller and Part-time Tellers. The following is a Le info. ime Employees: The bank currently has employed 18 Full time =/employees. Full-time tellers that work from 9 a.m. to 5 p.m. ach full-timer will be paid $85 per day on average. he 18 employees can't be layoff. However, the manager may use only art of the 18 Full-Time Employees in this branch and relocate the rest to nother branch with a relocation-related cost $10 per-employee per-day. hat is, the employees to be relocated to another department will cost this epartment $10, instead of $85, a day. ull-timers will have 1-hour lunchtime. To better use the workforce, the anager will divide the Full-timers (working in this branch) lunchtime into groups (not necessarily equal size). One group will have lunchtime etween 11-noon and the Rest will have lunchtime between noon-1pm. # of Tellers Time Period Needed 9 a.m.-10 a.m. 10 a.m.-11 a. m. 18 11 a.m.-Noon 14 Noon-1 p.m. 10 1 p.m.-2 p.m. 18 |2 р.т.-3 р.т. 16 |3 p.m.-4 p.m. 12 4 p.m.-5 p.m. ime Employee: The bank will hire Part-time Employees, many are ble, to cover part of the tellers needed. ach part-time employee will be hired for one of the 4-hour shifts which start any hour between 9 a.m. and 1 m. ach part-timer will be paid $40 per 4-hour shift on average. here is no lunchtime for part-timers. he bank limits part-time hours to a maximum of 40% of the day's total labor hours. ager needs to make decisions on the number of full-timers to be used in the branch, the number of part-time pe hired in Each 4-hour shift so that the total work-force related costs, that include Full timer cost, Part time ation cost are minimized.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Mexico City Bank of Commerce and Industry Teller Scheduling Overview** The Mexico City Bank of Commerce and Industry is a bustling financial institution. To meet diverse customer needs, it is essential to have a variable number of tellers at the counter throughout the day. Below is a schedule indicating the number of bank employees/tellers needed from 9 a.m. to 5 p.m. at one of its branches. ### Employee Types - **Full-time Employees:** - Currently, the bank employs 18 full-time tellers who work from 9 a.m. to 5 p.m. - Each full-timer is paid $85 per day on average. - These employees cannot be laid off, but the manager can use only a portion of them in this branch and relocate the remainder. Relocation incurs a cost of $10 per employee per day. - Full-timers have a 1-hour lunchtime. To optimize workforce deployment, full-timers' lunches are divided into two groups: one group breaks from 11 a.m. to noon, and the other from noon to 1 p.m. - **Part-time Employees:** - The bank hires part-time employees to cover additional teller needs. - Part-timers work 4-hour shifts starting on the hour between 9 a.m. and 1 p.m. - They are paid $40 per shift on average and do not receive a lunch break. ### Operational Constraints - Part-time hours are capped at a maximum of 40% of the total labor hours per day. ### Teller Requirements by Time Period A tabular display (as shown) outlines the teller requirements by the hour: - **9 a.m. – 10 a.m.:** 8 tellers needed - **10 a.m. – 11 a.m.:** 18 tellers needed - **11 a.m. – Noon:** 14 tellers needed - **Noon – 1 p.m.:** 10 tellers needed - **1 p.m. – 2 p.m.:** 18 tellers needed - **2 p.m. – 3 p.m.:** 16 tellers needed - **3 p.m. – 4 p.m.:** 12 tellers needed - **4 p.m. – 5 p.m.:** 9 tellers needed ### Management Decisions The bank manager must determine the optimal number of full-time
Transcribed Image Text:**Mexico City Bank of Commerce and Industry Teller Scheduling Overview** The Mexico City Bank of Commerce and Industry is a bustling financial institution. To meet diverse customer needs, it is essential to have a variable number of tellers at the counter throughout the day. Below is a schedule indicating the number of bank employees/tellers needed from 9 a.m. to 5 p.m. at one of its branches. ### Employee Types - **Full-time Employees:** - Currently, the bank employs 18 full-time tellers who work from 9 a.m. to 5 p.m. - Each full-timer is paid $85 per day on average. - These employees cannot be laid off, but the manager can use only a portion of them in this branch and relocate the remainder. Relocation incurs a cost of $10 per employee per day. - Full-timers have a 1-hour lunchtime. To optimize workforce deployment, full-timers' lunches are divided into two groups: one group breaks from 11 a.m. to noon, and the other from noon to 1 p.m. - **Part-time Employees:** - The bank hires part-time employees to cover additional teller needs. - Part-timers work 4-hour shifts starting on the hour between 9 a.m. and 1 p.m. - They are paid $40 per shift on average and do not receive a lunch break. ### Operational Constraints - Part-time hours are capped at a maximum of 40% of the total labor hours per day. ### Teller Requirements by Time Period A tabular display (as shown) outlines the teller requirements by the hour: - **9 a.m. – 10 a.m.:** 8 tellers needed - **10 a.m. – 11 a.m.:** 18 tellers needed - **11 a.m. – Noon:** 14 tellers needed - **Noon – 1 p.m.:** 10 tellers needed - **1 p.m. – 2 p.m.:** 18 tellers needed - **2 p.m. – 3 p.m.:** 16 tellers needed - **3 p.m. – 4 p.m.:** 12 tellers needed - **4 p.m. – 5 p.m.:** 9 tellers needed ### Management Decisions The bank manager must determine the optimal number of full-time
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