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Previous Year Question (PYQs)



The following sketch shows the pipeline carrying material from one
location to another. The capacity of each pipeline is 2000. The demand for the material at B is 800, at C is
800, at D is 1400 and at E is 400. The arrow indicates the direction of material flow through pipeline. The
flow through pipelines meets exactly the demand at each location, flow from B to C is 600.
The quantity moved from A to E is





Solution

Demands: B = 800 C = 800 D = 1400 E = 400 Given: Flow from B → C = 600 So C still needs: 800 − 600 = 200 (must come from A) Flow needed from A to satisfy total demands: Total demand = 800 + 800 + 1400 + 400 = 3400 Total flow entering is from A only → So A must supply all: 3400 Distribution: To B → 800 To C → 200 (because 600 already coming from B) To D → 1400 To E → 400 So quantity A → E = 400


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