Q9.6 (Algo) Rent-a-Phone [9.6,9.8] RentAPhone is a new service company that provides European mobile phones to American visitors to Europe. The company currently has 60 phones available at Charles de Gaulle Airport in Paris. There are, on average, 28 customers per day requesting a phone. These requests arrive uniformly throughout the 24 hours the store is open. (Note:This means customers arrive at a faster rate than 1 customer per hour.) The corresponding coefficient of variation is 1. Customers keep their phones on average 48 hours. The standard deviation of this time is 60 hours. Given that RentAPhone currently does not have a competitor in France providing equally good service, customers are willing to wait for the telephones. Yet, during the waiting period, customers are provided a free calling card. Based on prior experience, RentAPhone found that the company incurred a cost of $.80 per hour per waiting customer, independent of day or night. (a) What is the average number of telephones the company has in its store? (Round your answer to nearest whole number.) (b) How long does a customer, on average, have to wait for the phone? (Round your answer to two declmal places.) (c) What are the total monthly (30 days) expenses for telephone cards? (Round your answer to two declmal places.) (d) Assume RentAPhone could buy additional phones at $800 per unit. Is it worth it to buy one additional phone? (e) How would waiting time change if the company decides to limit all rentals to exactly 48 hours? Assume that if such a restriction is imposed, the number of customers requesting a phone would be reduced to 20 customers per day. (Round your onswer to flve declmal pleces.) Q9.6 (Algo) Rent-a-Phone [9.6,9.8] RentAPhone is a new service company that provides European mobile phones to American visitors to Europe. The company currently has 60 phones available at Charles de Gaulle Airport in Paris. There are, on average, 28 customers per day requesting a phone. These requests arrive uniformly throughout the 24 hours the store is open. (Note:This means customers arrive at a faster rate than 1 customer per hour.) The corresponding coefficient of variation is 1. Customers keep their phones on average 48 hours. The standard deviation of this time is 60 hours. Given that RentAPhone currently does not have a competitor in France providing equally good service, customers are willing to wait for the telephones. Yet, during the waiting period, customers are provided a free calling card. Based on prior experience, RentAPhone found that the company incurred a cost of $.80 per hour per waiting customer, independent of day or night. (a) What is the average number of telephones the company has in its store? (Round your answer to nearest whole number.) (b) How long does a customer, on average, have to wait for the phone? (Round your answer to two declmal places.) (c) What are the total monthly (30 days) expenses for telephone cards? (Round your answer to two declmal places.) (d) Assume RentAPhone could buy additional phones at $800 per unit. Is it worth it to buy one additional phone? (e) How would waiting time change if the company decides to limit all rentals to exactly 48 hours? Assume that if such a restriction is imposed, the number of customers requesting a phone would be reduced to 20 customers per day. (Round your onswer to flve declmal pleces.)