Question: A machine makes two components; call them types A and B. It takes 550 seconds to switch production between the component types. During that time,

A machine makes two components; call them types A and B. It takes 550 seconds to switch production between the component types. During that time, no production occurs. When in production, each unit of A or B requires 0.5 second to be completed. The two components, A and B, are combined in an assembly process to make a final product; call it C. The assembly step can combine the two components into 1 unit every 4 seconds, or 15 units per minute.

If the production schedule could be adjusted with the goal of minimizing inventory in the process, how many units of A should be produced before switching to component B? Assume the same number of units of B would be produced as well.

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