A machine makes two components; call them types A and B it takes 270 seconds to switch production between the component types. During that time. no production occurs. When in production, each unit of A or B requires 05 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. Suppose the machine rotates between one batch of 1080 units of A and 1080 a. units of B. In that case, what is the capacity of the machine in component pars per minute, where a component pair is one unit of A and one unit of B ? b. Suppose the machine rotates between one batch of 1080 units of A and 1080 units of B. What is the utilization of the machine? c. Suppose the machine rotates between one batch of 1080 units of A and 1080 units of B. What is the average inventory of B components? If the production schedule could be adjusted with the goal of minimizing d. 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 component pars per minute produced as well