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Suppose you want to minimise the waiting...

Suppose you want to minimise the waiting time of vehicles at a traffic junction of four roads. Which of these factors are important and which are not? (i) Price of petrol. (ii) The rate at which the vehicles arrive in the four different roads. (iii) The proportion of slow-moving vehicles like cycles and rickshaws and fast moving vehicles like cars and motorcycles.

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A man leaves his home early in the morning to have a walk. He arrives at a junction of roads A and B as shown in figure. He takes the following steps in later journies : (i) 1 km in North direction. (ii) Changes direction and moves in North-East direction for 2 sqrt(2) km. (iii) Changes direction and moves Southwards for distance of 2 km. (iv) Finally he changes the direction and moves in South-East direction to reach road A again. Now if roads A and B are taken as X-axis and y-axis ,then visible point representing the graph of y=f(x) Then the value of x at which function f(x) is discontinous

A man leaves his home early in the morning to have a walk. He arrives at a junction of roads A and B as shown in figure. He takes the following steps in later journies : (i) 1 km in North direction. (ii) Changes direction and moves in North-East direction for 2 sqrt(2) km. (iii) Changes direction and moves Southwards for distance of 2 km. (iv) Finally he changes the direction and moves in South-East direction to reach road A again. Now if roads A and B are taken as X-asix and Y-axis, then visible point representing the graph of y = f(x). Then the value of x at which function f(x) is discontionous

A man leaves his home early in the morning to have a walk. He arrives at a junction of roads A and B as shown in figure. He takes the following steps in later journies : (i) 1 km in North direction. (ii) Changes direction and moves in North-East direction for 2 sqrt(2) km. (iii) Changes direction and moves Southwards for distance of 2 km. (iv) Finally he changes the direction and moves in South-East direction to reach road A again. Now if roads A and B are taken as X-asix and Y-axis, then visible point representing the graph of y = f(x). Then the value of x at which function f(x) is discontionous