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.