2. Drivers in the London (England) 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 to 0859 430 2 0900 to 1259 150 3 1300 to 1659 230 4 1700 to 2059 390 5 2100 to 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. (a) Formulate an algebraic model for the problem. Submit this in Word or pdf. (b) Use LINGO or the Excel Solver to solve this model, including your name and student number on the model. If using LINGO, submit files for the model and the solution for each question. If using the Excel Solver, submit one file for all questions, using tabs for the model and the Answer Report (a total of ten tabs.) (c) State the solution in words. Submit this in Word or pdf. 2. Drivers in the London (England) 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 to 0859 430 2 0900 to 1259 150 3 1300 to 1659 230 4 1700 to 2059 390 5 2100 to 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. (a) Formulate an algebraic model for the problem. Submit this in Word or pdf. (b) Use LINGO or the Excel Solver to solve this model, including your name and student number on the model. If using LINGO, submit files for the model and the solution for each question. If using the Excel Solver, submit one file for all questions, using tabs for the model and the Answer Report (a total of ten tabs.) (c) State the solution in words. Submit this in Word or pdf