SHOW ALL WORK ON PAPER NOT EXCEL .
1. In a small suburban town, firefighters work 8-hour shifts. Assume there are six shifts each day that are divided into six 4-hour periods. The minimum number of firefighters needed on each shift is illustrated below.
Shift Number of Firefighters Needed
Midnight-4 a.m. 7
4 a.m.-8 a.m. 4
8 a.m.-Noon 12
Noon-4 p.m. 14
4 p.m.-8 p.m. 9
8 p.m.-Midnight 8
a. Firefighters must report to work at the beginning of the above time periods and must work eight consecutive hours. Write the equations needed for this scheduling problem. Be sure to clearly explain your variables.
Xmid =
X4am =
X8am
Xnoon
X4pm
X8pm
b. Who is working at 5am?
c. Who is working at 9am?
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2. Assume you have different shifts of employees:
3am – 11am
7am – 3pm
11am – 7pm
3pm – 11pm
5pm – 1am
You pay $20/hour for any hour worked between 8am and 8pm.
You pay $25/hour for any hour worked between 8pm and 12midnite.
You pay $30/hour for any hour worked between 12midnite and 8am.
What do you pay an employee would works from 7am – 3pm for that 8 hour shift?
Due to a crisis, Mary worked from 6pm to 2am. No overtime is paid. How much does Mary get paid?
