Bank 24 is open 24 hours per day. Tellers work twoconsecutive 6-hour shifts and are paid $10 per hour. Thepossible shifts are as follows: midnight–6 A.M., 6 A.M.–noon,noon–6 P.M., 6 P.M.–midnight. During each shift, thefollowing numbers of customers enter the bank: midnight–6 A.M., 100; 6 A.M.–noon, 200; noon–6 P.M., 300;6 P.M.–midnight, 200. Each teller can serve up to 50customers per shift. To model a cost for customerimpatience, we assume that any customer who is present atthe end of a shift “costs” the bank $5. We assume that bymidnight of each day, all customers must be served, so eachday’s midnight–6 A.M. shift begins with 0 customers in thebank. Formulate an LP that can be used to minimize thesum of the bank’s labor and customer impatience costs.
Bank 24 is open 24 hours per day. Tellers work twoconsecutive 6-hour shifts and are paid $10 per hour. Thepossible shifts are as follows: midnight–6 A.M., 6 A.M.–noon,noon–6 P.M., 6 P.M.–midnight. During each shift, thefollowing numbers of customers enter the bank: midnight–6 A.M., 100; 6 A.M.–noon, 200; noon–6 P.M., 300;6 P.M.–midnight, 200. Each teller can serve up to 50customers per shift. To model a cost for customerimpatience, we assume that any customer who is present atthe end of a shift “costs” the bank $5. We assume that bymidnight of each day, all customers must be served, so eachday’s midnight–6 A.M. shift begins with 0 customers in thebank. Formulate an LP that can be used to minimize thesum of the bank’s labor and customer impatience costs.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Bank 24 is open 24 hours per day. Tellers work two
consecutive 6-hour shifts and are paid $10 per hour. The
possible shifts are as follows: midnight–6 A.M., 6 A.M.–noon,
noon–6 P.M., 6 P.M.–midnight. During each shift, the
following numbers of customers enter the bank: midnight–
6 A.M., 100; 6 A.M.–noon, 200; noon–6 P.M., 300;
6 P.M.–midnight, 200. Each teller can serve up to 50
customers per shift. To model a cost for customer
impatience, we assume that any customer who is present at
the end of a shift “costs” the bank $5. We assume that by
midnight of each day, all customers must be served, so each
day’s midnight–6 A.M. shift begins with 0 customers in the
bank. Formulate an LP that can be used to minimize the
sum of the bank’s labor and customer impatience costs.
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