ILLUSTRATION 6
Directions for Questions 1 to 3: Answer these questions based on the pipeline diagram below.
The following sketch shows the pipelines carrying material from one location to another.
Each location has a demand for material. The demand at Vaishali is 400, at Mathura is 400, at Jhampur is 700 and at Vidisha is 200. Each arrow indicates the direction of material flow through the pipeline. The flow from Vaishali to Mathura is 300. The quantity of material flow is such that the demands at all these locations are exactly met. The Capacityofeachpipeline is 1000.
1. What is the free capacity available in the Avanti-Vidisha pipeline?
(a) 300 (b) 200
(c) 100 (d) 0
2. What is the free capacity available from Avanti to Vaishali?
(a) 0 (b) 100
(c) 200 (d) 300
3. The quantity moved from Avanti to Vidisha is
(a) 200 (b) 800
(c) 700 (d) 1000
Sol. Since 700 is required at Jhampur, the requirement at Mathura must be 1100, which has to be supplied from the two pipelines coming into Mathura.
It is clear that since Vaishali to Mathura is only 300, the Vidisha-Mathura pipeline should carry 800. Hence, Avanti Vidisha should have 1000.
1. There is no free capacity in the Avanti Vidisha pipeline. Option (d) is correct.
2. Avanti-Vaishali flow should be 700 and hence the free capacity is 300. Option (d) is correct.
3. 1000. Option (d) is correct.