Problem:

The maker of the world famous chocolate chip cookies needs to design a product layout for a new product, mint chocolate chip. the company plans to use this new production line eight hours a day in order to meet projected demand of 1,440 cases per day. the following table describes the tasks involved in the production of a mint chocolate chip cookie.

task = u, v, w, x, y, z

time(secs)= 4, 14, 12, 12, 6, 8

Immediate predecessor = none, u, v, v, w, x, y(respectively)

Required:

Question 1) without considering projected demands , what is the minimum possible cycle time for this production line?

Question 2) without considering projected demands , what is the maximum possible cycle time for this production line?

Question 3) for output to equal projected demand , what should be the actual cycle time for this production line?

Question 4) for output to equal demand , what is the minimum number of workstations needed?

Question 5) assign tasks to workstations on the basis of greatest number of following tasks.

Question 6) for output to equal projected demand, what will effciency of the production line that uses the minimum number of workstations? Solve the given numerical problem and illustrate step by step calculation.