Question: Consider a process consisting of two steps performed by two machines, respectively. The first step is performed by a stamping machine. The second step is

Consider a process consisting of two steps performed by two machines, respectively. The first step is performed by a stamping machine. The second step is performed by an assembly machine. Inventory is allowed in-between different types of machines.

Each unit of the product consists of 1 unit of part A and 1 unit of part B. The stamping machine can make both types of parts. The setup to switch between different types of parts takes 25 minutes. Part As unit processing time is 0.5 minute and Part Bs unit processing time is 1.5 minutes. The assembly machine puts the two types of parts together and does not require any setup. The unit assembly time is 4 minutes. There are enough raw materials and sufficient demand. What is the optimal batch size for the stamping machine? In an optimal batch, how many Part A are produced?

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