# dolution

dolution.

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: midnightĂ˘â‚¬â€ś6 A.M., 6 A.M.Ă˘â‚¬â€śnoon, noonĂ˘â‚¬â€ś6 P.M., 6 P.M.Ă˘â‚¬â€śmidnight. During each shift, the following numbers of customers enter the bank: midnightĂ˘â‚¬â€ś 6 A.M., 100; 6 A.M.Ă˘â‚¬â€śnoon, 200; noonĂ˘â‚¬â€ś6 P.M., 300; 6 P.M.Ă˘â‚¬â€śmidnight, 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 Ă˘â‚¬Ĺ“costsĂ˘â‚¬Âť the bank \$5. We assume that by midnight of each day, all customers must be served, so each dayĂ˘â‚¬â„˘s midnightĂ˘â‚¬â€ś6 A.M. shift begins with 0 customers in the bank. Formulate an LP that can be used to minimize the sum of the bankĂ˘â‚¬â„˘s labor and customer impatience costs.

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dolution