INFO564 MSU Operations And Supply Chain Management I attached the file below. Complete the homework by typing your response in the Word document INFO 564 H

INFO564 MSU Operations And Supply Chain Management I attached the file below. Complete the homework by typing your response in the Word document INFO 564 Homework Assignment-2
Question 1 (40 pts)
The following tasks have to be performed on a unit of raw material in order to convert it into a
unit of finished product.
Task
a
b
c
d
e
f
g
h
i
j
Total
Time
(minutes)
3
4
3
7
7
6
9
10
3
6
58
Immediate
Predecessors
–a, b
c
c
c
e, f
d, e
g, h
i
a. Draw a precedence network for these tasks. (5 pts)
b. Suppose that each task is performed at a separate station. The time taken is as shown
in the above table. Once a task is performed it is picked up by the next station. Transfer
times are included in the task times and so may be ignored. Thus you have an assembly
line with 10 stations.
(i) What is the maximum production possible from this assembly line? (Hint: what is
the bottleneck?) (5 pts)
(ii) what is the efficiency of this assembly line? (5 pts)
c. It is possible to achieve the same production as in (b) with fewer stations. Suggest one
possible arrangement that will do so. What is the efficiency of this arrangement? (10
pts)
d. Suppose that a production of 40 units per 8-hour day is desired.
(i) What is the minimum number of stations needed to meet this rate? (2 pts)
(ii) Design an assembly line that will meet this requirement. (10 pts)
(iii) What is the efficiency of this line? (3 pts)
Question 2 (30 pts)
A machine has a setup time of 150 minutes and run time of 0.0075 minutes per piece.
Order sizes are typically 10,000 pieces. After a batch is processed, the process has to be
stopped and the machine has to be setup before the next batch can be processed. Assume
that a day consists of two shifts and each shift is 450 minutes long.
Find the capacity in pieces per day for this machine under the following assumptions:
(i) A batch can consist of only one order; it cannot have other orders in it. (8 pts)
(ii) Three orders are combined to form a batch. (8 pts)
(iii) All orders can be combined into one batch. (8 pts)
(iv) What is the percent change in capacity as you go from (i) to (ii) to (iii)? (6 pts)
Question 3 (10 pts)
A particular operation may be performed by two kinds of process. Process A requires a setup
time of 40 minutes, whereas Process B requires a setup time of 180 minutes. On the other
hand, the per unit run times are: 0.015 minutes on A and 0.0023 minutes on B. Which batch
sizes would you route to A and which ones to B?
Question-4 (20 pts)
A process produces two types of products A and B. Product A is done in batches of 1000 units.
It involves a setup time of 2 hours and a run time of 75 seconds. Product B is done in batches of
500 units and involves a setup time of 1 hour and a run time of 45 seconds.
How many units can this process produce in a week of 40 hours, if:
(i) only product A is produced? (5 pts)
(ii) only product B is produced? (5 pts)
(iii) A and B are produced in a mix of 25% A and 75% B? (10 pts)

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