There is a long oil pipeline which has ten intermediate stations along the pipeline. In each station, there is one executive, one officer, and one manager. Each has a manager. Each station has a communication system to make calls. The system is activated by the individual codes of the executive, officer, and manager. 1 nearby station receives the call when the executive calls, 2 nearby stations receive the calls when an officer calls and 4 nearby stations receive the call when a manager calls. The stations call and receive
calls among themselves only. The table gives the information about the
number of received and dialed calls by each station for a particular day:
1. What can be the maximum number of calls made by the managers?
2. If it is known that the total number of calls made by the executives is more than the total number of calls made by the officers, what can be the maximum number of calls made by the officers?
3. If it is known that S6 received calls only from 3 stations, what is the minimum number of stations that S4 could have got a call from?
4. If it is known that the total number of calls made by the managers is less than half the total number of calls made, what could have been the
S1
S2
10
S4
$5
S6
S7
14
4
2648
Calls Made
12
20
14
30
18
8
6
2
S8
16
6
$9
S10
18
12
12
10