Formulate an algebraic model for the problem

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Reference no: EM132831666

Question. Formulate an algebraic model for the problem. Solve the model using Lingo, write the solution in words.

Drivers in the London, Underground railway system work two four-hour shifts per day. In some cases, the two shifts are consecutive (effectively one eight-hour shift), but usually they are not. All Underground drivers earn a base rate of £21 per hour (i.e. £168 per day). Because of the inconvenience of breaking up the day, those who work non-consecutive shifts are paid a £15 per day bonus. The London Underground has the following daily requirements for drivers:

Minimum Number Shift Time of Day of Drivers Needed

1 0500-0859 430

2 0900-1259 150

3 1300-1659 230

4 1700-2059 390

5 2100-0059 270

No-one will be asked to work on both shifts 1 and 5. Subject to meeting all its requirements for drivers, the London Underground wishes to minimize its daily labour cost (regular and bonus). Formulate the model so that the £21 (or £168) and the £15 are entered only once.

Reference no: EM132831666

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