OPRE 3310: Homework Assignment 1 PLEASE PROVIDE EXPLANATIONS FOR ALL YOUR ANSWERS TO ENSURE YOU CAN RECEIVE PARTIAL CREDIT. Q1 (15 points). A customer who wants a coffee moves sequentially to 2 stations staffed by 4 employees in a Starbucks: The customer first proceeds to one of the two cash registers where Alex and Bob are working, i.e. both Alex and Bob have their own cash register. One of them places the order and accepts payment. There is one extra cash register (apart from the ones used by Alex and Bob) where no one is working Next, one of either Charlotte or David prepares the coffee using a coffee machine. Both Charlotte and David have their own coffee machines. There are two extra coffee machines (apart from the ones used by Charlotte and David) which are not used by anyone. The time for placing an order and accepting payment is 30 seconds. The time for making the coffee is 60 seconds. Note: Alex & Bob take the same amount of time to do their tasks. Charlotte & David take the same amount of time to do their tasks. (a) Draw the process flow diagram for the above process. (3 points) (b) What is the process capacity (in units/min) and what is (are) the bottleneck(s) of the process? (4 points) (c) What is the cycle time (in minutes) of the process? (1 point) (d) What is the flow time (in minutes) of the process? (2 points) (e) Starbucks recruits two new staff members, Emily and Frank. It takes either Emily or Frank 30 seconds to place an order & accept payment, and 60 seconds to make a coffee. To improve the process capacity, which tasks should Emily and Frank be assigned to? What is the new process capacity (in units/min) and the new bottleneck(s)? (Hint: First determine which task Emily should be assigned to. Then, based on the modified process, determine which task Frank should be assigned to improve the process capacity.) (5 points) Page 1 of 2