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 1,500 units/hr, out of which 50% is input A and 50% is input B. Processor 1 is used exclusively for input A. Processor 2 and 3 are 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)]*1250 units/hr of A and [b/(a+b)]*1250 units of B. Total input rate = 1,500 units/hr Input A (50%) Input B (50%) Bins for A 1,000 units Bins for B 1,000 units Processor 1 (900 units/hr) Processor 2 [700 units/hr) Processor 3 (800 units/hr) Processor 4 (1,250 units/hr) 2.1 What is the throughput rate (units/hour) of the whole process (observed after Processor 4)? 2.2 What is the actual utilization of Processor 1? Hint: Think about the throughput rate of A first. Then, the actual utilization is throughput rate/capacity. 2.3 What is the inventory build-up rate (units/hour) of input B? 2.4 If the proportion of input A is 25% and input B is 75%, what would be the throughput rate (units/hour) of the whole process