Please help with problem 2 and 3

1. A 30-station transfer line has an ideal cycle time of 0.8 min, an average downtime of 5.0 min per line stop occurrence, and a station failure frequency of 0.01 for all stations. A proposal has been submitted to locate a storage buffer with infinite capacity between stations 15 and 16 to improve line efficiency. Determine (a) the current line efficiency(%) and production rate(pc/hr), and (b) the maximum possible line efficiency(%) and production rate(pc/hr) that would result from installing the storage buffer.

2. (1 pt.) Given the data in Problem 1, solve the problem except that the proposal is to divide the line into three stages, that is, with two storage buffers located between stations 10 and 11, and between stations 20 and 21, respectively. Find the maximum possible line efficiency(%) and production rate (pc/hr). Hint: maximum possible efficiency means buffers of infinite size.

3. (4 pt.) In Problem 1, if the capacity of the proposed storage buffer is to be 40 parts, determine (a) (3 pt.) line efficiency(%), and (b) (1 pt.) production rate (pc/hr) of the line. Assume that the downtime (T_d = 5.0 min) is a constant.