Problem 7 (10 points) Consider the following two step system for producing sunglasses. Step A Step B The capacity of each step is as follows: Step A: It has a capacity of 4,520 sunglasses per hour and it can run continuously without stop. This step could also run at a lower speed if desired, but it must always run at the same speed. Step B: While it is running, this step has a maximum capacity of 6,000 sunglasses per hour (it could run at a lower speed too). However, after processing 9,600 sunglasses, this step must stop for 81 minutes. Once the 81 minutes break has passed, the step will continue processing another 9,600 sunglasses, etc. Question 7.A. [3 points) Determine the bottleneck step of the process and state its capacity. [To answer this question assume that the buffer between the two steps has unlimited size.] Question 7.B [3 points] Determine the minimum size of the buffer between step A and step B (in terms of pair of sunglasses it can hold) so that the process capacity is the maximum possible. Justify your answer. Question 7.C [4 points] Consider the case where the process is running at the maximum capacity. What is the average amount of time that a pair of sunglasses spends at the buffer between the two steps? Justify your answer and express it in minutes