Question: A Linear Programming Model Problem. Please Help!! Thank you!! Bank 24 is open 24 hours per day. Tellers work two consecutive 6-hour shifts and are

A Linear Programming Model Problem. Please Help!! Thank you!!

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 - 6AM, 6AM - noon, noon - 6PM, 6PM - midnight. During each shift, the following number of customers enters the bank: midnight - 6AM 100; 6AM - noon 200; noon - 6PM; 6PM - 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 - 6AM shift begins with 0 customers in the bank. Formulate an Linear Program that can be used to minimize the sum of the bank's labor and customer impatience cost.

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