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In a certain commercial bank, customers may withdraw cash through one of the 2 retailers at the counter. On average, one of the retailers takes 3 minutes while the other takes 5 minutes to serve a customer. If the two start to serve the customer at the same time, find the shortest time it takes to serve 200 customers.

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Final answer:

The shortest time it takes to serve 200 customers at the counter in a commercial bank is 600 minutes with Retailer 1.

Step-by-step explanation:

To find the shortest time it takes to serve 200 customers, we need to calculate how long it takes for each retailer at the counter to serve 200 customers.

Retailer 1 takes 3 minutes to serve a customer, so it would take 3 minutes * 200 customers = 600 minutes to serve 200 customers.

Retailer 2 takes 5 minutes to serve a customer, so it would take 5 minutes * 200 customers = 1000 minutes to serve 200 customers.

Therefore, the shortest time it takes to serve 200 customers is 600 minutes with Retailer 1.

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