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Operation Management

Operation Management

Assignment 2

spring 2020

The due date for this Assignment is Sunday, April 5, 2020 at 11:30 pmNO assignment will be accepted after the due date.

This is NOT a group assignment. Each student must solve it by herself.

Question 1:

Explain with examples (3) of the product and service design considerations/factors.

 

Question 2:

In details Explain the dimensions of product quality.

 

Question 3:

A female tailor buys fabric in 100-meter rolls. She uses 125 rolls per year to fabricate coloured Abayyas. The ordering cost is 20 SR per order and the annual carrying cost is 2 SR per roll.

A) What is the Economic Order Quantity (EOQ) for this business?

B) How many orders the tailor needs to make every year to run her business?

C) What is the length of each order cycle in days if she works 200 days only?

D) Compute the total cost of ordering and carrying the fabric rolls.

 

 

Question 4:

 

A small software development project has nine major activities. The times are estimated and provided in the table below.

Activity Immediate

Predecessor

Optimistic Most Likely Pessimistic
A 4 6 8
B 4 10 16
C A 2 4 18
D A 10 10 10
E B, C 12 14 16
F B 28 28 28
G D, E 2 10 18
H G, F 2 8 16

 

 

A) What is the project completion time?

B) What is the critical activities?

C) What is the probability that the project will be completed in 54 weeks?

D) What is the probability that the project will be completed in 45 weeks?

 

 

 

 

Question 5:

Based on the table below. Answer the following question

 

Act Pred. Normal Time (weeks) Crash Time (weeks) Normal Cost $ Crash Cost $
A 3 3 300 300
B 2 2 200 200
C A,B 4 2 200 400
D C 3 1 100 400
E B 2 1 150 300
F D,E 2 1 50 100

 

 

A) What is the project completion date?

B) Find the SLACK & crash cost per day for each activity.

C) If you wish to reduce the time required to complete this project by 3 weeks, which activity should be crashed? And find the new total cost of completing the project (after crashing).

 

 

Question 6:

Develop a solution for the following project problem.

Act. Pred. Normal Time (expected time) (Days) Normal Cost Crash Time

(Days)

Crash Cost (total) Variance

 

 
A 35 $2500 20 $4000 7  
B A 15 $1000 10 $1750 3  
C A 30 $2500 20 $4500 4  
D C 15 $1000 5 $2500 6  
E B 10 $1500 5 $2750 2  

 

A) Draw the project network with normal time. (2 Points)

B) What is the project completion time? (2 Point)

C) What is the probability that the project will be completed in 90 days? (2 Points).

D) The customer wants to complete the project in 65 days, what should we do (which activity should be crashed)? What will be the new total cost of completing the project (after crashing).

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Question 7:

 

Given the information in the following table:

 

Activity Immediate Predecessors Estimated Time (days)
A None 12
B None 9
C A 10
D B 10
E B 24
F A 10
G C, F 35
H D 40
I A 15
J E, G, H 4
K F, I, J 9
L E, J 5

 

 

 

A) Develop an AON network for this problem.

B) What is the critical path?

C) What is project completion time?

D) Calculate the ES, EF, LS, LF, and Slack for each activity.

E) Assume that completion of A is delayed by two days. What other activities are impacted? And What happens to the project?

F) Assume that completion of A is delayed by two days. What other activities are impacted? And What happens to the project?

G) Assume that completion of C is delayed by five days. What other activities are impacted? And What happens to the project?

H) Assume that completion of E is delayed by ten days. What other activities are impacted? And What happens to the project?