Fiesta is a popular caf in Chapel Hill. There are 3 types of food stations in the
Question:
Fiesta is a popular café in Chapel Hill. There are 3 types of food stations in the café: the Grill, the Deli, the Self-Service Food Bar. Each arriving customer first visits one or more of these stations to have his/her order prepared. After her/his order(s) is prepared, the customer makes a payment at the Cashier station.
There are four types of customers: (1) Grill-only: Customers who only order from the grill station, (2) Deli-only: Customers who only order from the deli station, (3) Self-service only: Customers who only get food from the self-service food bar, and (4) Grill & Self-service: Customers who get food from both the grill station and self-service food bar.
Fiesta served the following number of customers in the first quarter of this year:
The following additional information is provided to you:
Grill Station: In this station, there are 2 teams that work in parallel, and each team consists of 2 workers. Workers in a team must prepare each order together. In every team, one worker is assigned to prepare the condiments and fries (which are complementary to any grill order), while the other worker is assigned to grill the meat. On average, it takes 15 minutes for a team to prepare the order of a customer in this station.
Deli Station: There are 2 workers that work in parallel in the deli station, and on average, a worker spends 6 minutes preparing one deli sandwich. A deli customer orders 3.5 deli sandwiches on average.
Self-Service Food Bar: There is one food bar, and a customer spends 5 minutes on average at the food bar.
Cashier Station: There is one cashier. On average, it takes 2 minutes for the cashier to collect payment from a customer.
Fiesta is open for 80 days in a quarter and there are 7 working hours in a day.
Based on the above information, please find the utilization of each station (i.e., Grill, Deli, Self-Service Food Bar, and Cashier Station) in the first quarter of the year.