b and d

A machine makes two components; call them types A and B. It takes 510 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. a. Suppose the machine rotates between one batch of 2040 units of A and 2040 units of B. In that case, what is the capacity of the machine in component pairs per minute, where a component pair is one unit of A and one unit of B? 40 component pairs per minute b. Suppose the machine rotates between one batch of 2040 units of A and 2040 units of B. What is the utilization of the machine? 200 percent c Suppose the machine rotates between one batch of 2040 units of A and 2040 units of B. What is the average inventory of B components ? 893 units d. 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. 1,086 units