consider a machine that processes two different parts, each A part requires 20 sec of work, and each Part B requires 10 sec of work. The machine needs a setup time of 40 min while changing from A to B , and 45 min while changing from B to A. Both parts are feeding an assembly line for the final product . for each product 2 parts of A and 3 Parts of B. Assume that the batch sizes of A and B are chosen togther and batch size of B is 1.5 times the batch of A.

a. If the batch size for A is 600, will this be enough to feed an assembly line with a rate of 20 per hour?

b. what should be the minimum batch size of part A if production rate increased to 40 per hour?

c. Consider the rates and batch size on part a. what percent of time the machine is idle ?