Business Planning for Veeta Volvos – DI Set
In recent years, CAT DI questions have moved away from the traditional graphical representation to the tabular one. Furthermore, the concepts involved are usually very basic and typical. Below is one such example, based on simple concept, testing your ability to interpret the given data.
In township TG Town, a bus operator Veeta Volvos is planning to launch operations. They did some preliminary survey on the number of people availing bus services during any given 4-hour window of the day (provided in the table). Each Veeta Volvos bus needs one driver and can accommodate a maximum of 45 passengers at a time.
A shift is defined as a period of 8 continuous hours. Each driver can work for only one shift in a day (24 hour period). A standard shift roster is identified by dividing a 24-hour day into 3 shifts (shifts do not overlap). A flexible shift roster is defined by dividing a day into multiple shifts (overlapping is allowed), starting at the beginning of any of the given 4 hour period.
1) What is the minimum number of buses required by Veeta Volvos to serve all passengers of TG town?
a) 10 b) 12 c) 13 d) 11
Solution: b) As each bus can carry maximum of 45 passengers and same bus can be used to run in all the shifts, the minimum number of buses required would be the number of buses required to accommodate the maximum passengers of any slot. We can see the maximum number of passengers are in 16 to 12 slot e.i. 536. To accommodate 536 passengers, we would need 12 buses.
2) What is the minimum required number of drivers by Veeta Volvos need to serve all passengers of TG town, if a standard shift roster is followed?
a) 26 b) 30 c) 16 d) 32
Solution: a) Since we need one driver for each bus, and each bus can carry maximum of 45 passengers, we can calculate the number of buses/drivers required in each slot.
Now, for regular shift roster, the shifts cannot overlap. Lets name the shifts A, B and C.
Then the possible clubbing are shown in the table below:
Now we can see, that in case 2, we would have better utilization of drivers employed and the minimum number of drivers required becomes 26.
3) What is the minimum number of bus drivers required if a flexible shift roster is followed?
a) 26 b) 30 c) 16 d) 32
Solution: a) Now the shifts are overlapping, Let the shifts be A, B, C, D and E. Now, the following cases are possible:
Now, we see that in both cases, some drivers are not being utilized for the entire 8 hours of their shift.
But the minimum number of drivers required is =4+4+6+8+4 or 4+4+6+2+10 = 26
4)A full-time drivers (8 hour work shift) charges Rs. 200 per hour while a part time driver (4 hour work shift) has to be paid Rs. 300 per hour. What would be the minimum daily expenditure on driver wages?
a) 39800 b) 40000 c) 29600 d) 39200
Solution: d) As seen in the above cases, it would be beneficial if we employee 6 drivers part time (for only 4 hours) and rest 20 for full time.
Thus the answer = (20*200*8)+(6*300*4) = 39200
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