4. Customer demands are uniformly distributed between 0 and 1 at a linear line. There are...

 

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4. Customer demands are uniformly distributed between 0 and 1 at a linear line. There are three suppliers A, B, and C, located at 0.3, 0.5 and 0.9, respectively (as shown in the following figure). Note that customers will choose a supplier whom is closer to her/him. What are the market shares of suppliers A, B and C, respectively? What is the average traveling distance for all of customers? (10%) 0 A 0.3 B + 0.5 0.9 1 4. Customer demands are uniformly distributed between 0 and 1 at a linear line. There are three suppliers A, B, and C, located at 0.3, 0.5 and 0.9, respectively (as shown in the following figure). Note that customers will choose a supplier whom is closer to her/him. What are the market shares of suppliers A, B and C, respectively? What is the average traveling distance for all of customers? (10%) 0 A 0.3 B + 0.5 0.9 1