A factory receives two different types of inputs, input A and input B, and processes them in parallel. The total input rate, combining both input A and input B, is 200 units/hr, out of which 80% is input A and 20% is input B. Processor 1 and 2 are used exclusively for input A. Processor 3 is used exclusively for input B. Processor 4 is a shared resource which is used to process both input A and input B. The capacity of each processor and the sequence of processing are as described in the provided process flow diagram.

(2.1) What is the throughput rate of the whole process (observed after Processor 4)?

(2.2) If the process starts at 8am, at what time would the bins for A be completely filled? Please write your answer in the format of x:xx pm/am (e.g., 8:30am).

(2.3) Suppose the capacity of Processor 4 changes to 180 unit/hr. What would be the actual utilization of Processor 1? Please write your answer in the format of 0.xx. *

(2.4) Disregard the information in 2.3. Suppose the proportion of input A:B changes to 60:40. What would be the cycle time in minutes) of the process (observed after Processor 4)? Please write your answer in the format of x.xx.*

A factory receives two different types of inputs, input A and input B, and processes them in parallel. The total input rate, combining both input A and input B, is 200 units/hr, out of which 80% is input A and 20% is input B. Processor 1 and 2 are used exclusively for input A. Processor 3 is used exclusively for input B. Processor 4 is a shared resource which is used to process both input A and input B. The capacity of each processor and the sequence of processing are as described in the provided process flow diagram. Suppose whenever Processor 4's capacity is less than the input rate, it will allocate its total capacity to process input A and B in proportion to the total input rate arriving at Processor 4. That is, if A arrives at the rate of a units/hr and B arrives at the rate of b units/hr, the total input rate is (a+b) units/hr. Processor 4 will process [a/(a+b)]*C units/hr of A and [b/(a+b))*C units of B, where is the total capacity of Processor 4. Use this information to answer Questions 2.1-2.4. Your answers should include numbers ONLY (no units, no texts). Total input rate = 200 units/hr Input A (80%) Input B (20%) Bins for A 50 units Bins for B 50 units Processor 1 (180 units/hr) Processor 2 (150 units/hr) Processor 3 (50 units/hr) Processor 4 (200 units/hr)