Production and operations questions

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hw4_question_p_and_o.docx

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Homework 4

CHAPTER 6: Process Selection and Facility Layout

Question 1: (1.3 points)

As part of a major plant renovation project, the industrial engineering department has been asked to balance a revised assembly operation to achieve an output of 300 units per day (each day has eight working hours). Task times and precedence relationships are as follows:

Task

Duration (minutes)

Precedes Task

a

0.2

b

b

0.4

c

c

0.3

f

d

0.4

e

e

1.0

g

f

1.2

g

g

1.0

end

a

b

d

c

f

e

g

.2

.4

.3

1.2

1.0

1.0

.4

a. If there are 7 workstations, and each task is assigned to a workstation, what is the cycle time? (Note that this cycle time is the minimum possible cycle time that can be achieved.) (0.1 point)

b. If all tasks are assigned to only one workstation, what is the cycle time? (Note that this cycle time is the maximum possible cycle time that can be achieved.) (0.1 point)

c. To achieve an output level of 300 units per day, what is the required cycle time? (0.1 point)

d. Determine the minimum number of stations needed using the cycle time computed in part c. (0.1 point)

e. Compute the positional weight of each task in the precedence diagram. (0.2 point)

f. Then assign the tasks to workstations based on the greatest positional weight. (If there is a tie between two tasks, you can arbitrarily choose one.) (0.5 point)

g. Based on the result of part (f), how many workstations do you need? What is the efficiency of your design? (0.2 point)

CHAPTER 12: MRP and ERP

Question 2: (0.7 point)

Using the information above to do the following:

a) Determine the quantities of B, C, D, E, and F needed to assemble one A. (0.3 point)

b) Determine the quantities of B, C, D, E, and F needed to assemble 15 units of A, if you have the following in inventory: (0.4 point)

Component

On Hand

B

5

C

20

D

30

E

50

F

20

1/3