1. What is the minimum cycle length (in weeks) that will allow the line to keep up with the demand in the long run?

2. Suppose the company uses a cycle length of 1.3 weeks -

a) What will be the utilization of the line?

b) What will be the lot sizes for all three boards?

Type A:

Type B:

Type C:

c) What will be the long run average total inventory of finished boards? (Assuming demand for each type occurs at a constant rate)

*Please provide the Explanation and Formula

A toy manufacturer produces three types of skateboards on a single production line. Each type takes 2.3 minutes per board to produce. However, changing over the entire line from producing one type of board to the next requires 98 minutes. Demand is 460 boards per week for type A boards, 230 for type B and 230 for type C (so the total demand is 920 boards per week). The production line operates 8 hours per day, 5 days per week. The line uses a cyclic schedule where each type of board is produced once per cycle. In the long run, the line needs to keep up with demand