must precede processing of product X. What effect does this have on the shipping dates? 7. A product moves in sequence through five operations: V, W, X, Y, and Z. The processing time at each operation (min/unit) is 12, 18, 10, 24, and 12. Determine the total production lead time. Assume the production quantity and process batch size is 100. Use transfer barch sizes of a 100, b) 50, and 25. In each case, create a chart like Figure 5 2 to show the dow of the product through the five operations 8. For problem sume the inventory carrying cost is $5/unit/day, and the material handling times for all jobs. Une way to relle pou size is to use lor splitting and move items in smaller size transfer batches. Say, for example, 1000 parts are being machined at an operation; as they are completed, they are put in containers of 100 parts each, and are moved to the next operation. Thus, the transfer batch size is 100 units, and 10 transfer batches are required to move the process batch of 1000 units. In general, using transfer batches that are smaller than the process batch reduces production lead times because items completed at an operation have to wait less until they are moved to the next operation. As an illustration, assume 1000 units are to be processed through operation A, then operation B, and finally operation C. Each operation requires 1.0 min/unit processing time and has a process batch size of 1000 units. The left side of Figure 5.2 shows the resulting effect of using a transfer batch size of 1000. In contrast, the right part of the figure shows the effects of using transfer batch sizes of 200, 500, and 500 units at operations A, B, and C. respecrively. 1,000 1,000 - TAAA A B 0 0 Ship Ship Ship = 500 Q = 500 Operations Operations 0 1 DCD - 1700 3,000 1000 1,000 Time min Time min Figure 5.2 Left: transfer batch=process batch = 1000. Right: transfer batches are 200, 500, 500, respectively, at A,B,C; and process batches = 1000