1.   A manufacturer wants to produce 1600 units of a product per week. The work

elements for the product are given in the following table. Set up an assembly line to meet the production requirement. Primary rule: Assign elements to work stations in

the order of the largest number of following elements. Secondary rule (tie-breaking):  Assign elements to work stations in the order of the least operating time. Assume that a week has five working days and a day has eight working hours.

a. What is the desired cycle time?

b.   What is the theoretical minimum number of workstations?

c.   Draw a precedence diagram.

d.   Assign work elements to each workstation using the rules.

e.   What is the efficiency?

2.   A manufacturing plant was inspected and found to be in violation of a number of

safety regulations. The inspectors ordered the plant to alter some existing machinery to make it safer; purchase some new machinery to replace older, dangerous

machinery; and relocate some machinery to make safer passages and unobstructed

entrances and exits. Inspectors gave the plant only 30 weeks to make the changes; if the changes were not made by then, the plant would be fined $300,000. The plant

determined the activities that would have to be completed and then estimated the

indicated activity times, as shown in the table below. Construct an AON network for this project and determine the following:

a.   Expected activity times

b.   Earliest and latest activity times and activity slack

c.   Critical path

d.   Expected project duration and variance

e.   The probability that the mill will be fined $300,000