CAB AGREEMENT
As a HR initiative in Company ABC. HR decides to provide cab service to their employees in post corona life. They
decided to provfde cab service for only employees who match ALL of the below criteria, based on Finance Dept report
of the final count. (List not shared) FINANCE DEPT REPORT
ORITERIA overall Number of emp!loyees who DO NOT claim Fuel 1200
Married/ Dirvorced Females allowance
Employees who are ,commuting from more Overall number of empl:oyee who cornrnute from than 10 KM 1800
than 10 km of office Overa,11 number of Married/Divorced Fema,les 900
Employees who have NOT da,imed ue l Employees mapping at least ONE criteria 3180
allowance in Pre corona era :mplovees mao:oing aU tile above criter ia 120
Based on this a contract was drafted to be signed up for 120 Passengers with a cab company and sent to
Headquarters. There it was fou nd that ABC had more budget and asked the HR team to relax the, mies but not by too
much. Finance department was unavailable that day and HR team did not have access to which employee had availed
Fuel allowance in the past They had access to only Personal information of employees like Mar1ital status and their
current address; they found the
Overall !Number of Marrii ed/Divorced Females who commuted more than 10 Km as 240.
They decided to estimate the final count by assuming t hat -
Of the employees who commute more than 10 km and who have not claimed Fuel allowance to be TW[CE that of
Married/Divorced females who have not cla,imed Fuel allowance.
What is the finall count they will update in the agreement?
Answers
The local office of the APP-CAB company evaluates the performance of five cab drivers, Arun, Barun, Chandan, Damodaran, and Eman for their monthly payment based on ratings in five different parameters (P1 to P5) as given below:
P1: timely arrival
P2: behaviour
P3: comfortable ride
P4: driver’s familiarity with the route
P5: value for money
Based on feedback from the customers, the office assigns a rating from 1 to 5 in each of these parameters. Each rating is an integer from a low value of 1 to a high value of 5. The final rating of a driver is the average of his ratings in these five parameters. The monthly payment of the drivers has two parts – a fixed payment and final rating-based bonus. If a driver gets a rating of 1 in any of the parameters, he is not eligible to get bonus. To be eligible for bonus a driver also needs to get a rating of five in at least one of the parameters. The partial information related to the ratings of the drivers in different parameters and the monthly payment structure (in rupees) is given in the table below:
arun-barun-chandan-cat2020
The following additional facts are known.
Arun and Barun have got a rating of 5 in exactly one of the parameters. Chandan has got a rating of 5 in exactly two parameters.
None of drivers has got the same rating in three parameters.