Question

Given the accompanying network diagram, with times shown in days. Use Table B1 and Table B2.

a. Determine the expected duration of the project. (Round intermediate calculations to 2 decimal places and final answer to 1 decimal place.)

Expected Duration            

b. Compute the probability that the project will take at least 18 days. (Round intermediate calculations to 2 decimal places and "Probability" values to 4 decimal places.)

Probability            

Chuck’s Custom Boats (CCB) builds luxury yachts to customer order. CCB has landed a contract with a mysterious New York lawyer (Mr. T). Relevant data are shown on the next page. The complication is that Mr. T wants delivery in 32 weeks or he will impose a penalty of $375 for each week his yacht is late. Note: No activity can be crashed more than two weeks.

			CRASHING COSTS
Activity	Immediate Predecessor	Normal Time (weeks)	1st Week			2nd Week
K	—	9	$	410		$	415
L	K	7		125			—
N	K	5		45			45
M	L	4		300			350
J	N	6		50			—
Q	J,M	5		200			225
P	Q	8		—			—
Y	Q	7		85			90
Z	P	6		90			—
End	Y,Z

Develop a crashing schedule. (Leave no cells blank - be certain to enter "0" wherever required. Omit the "$" sign in your response.)

Project Length		Shorten Activity		Crash Cost
39	wk	—
38		(Click to select)  Z  N and L  Q  P  M and N
37		(Click to select)  Z  N and L  Q  P  M and N
36		(Click to select)  Z  N and L  Q  P  M and N
35		(Click to select)  Z  N and L  Q  P  M and N
34		(Click to select)  Z  N and L  Q  P  M and N

Three recent college graduates have formed a partnership and have opened an advertising firm. Their first project consists of activities listed in the following table. Use Table B.

		TIME IN DAYS
Activity	Immediate Predecessor	Optimistic		Most Likely			Pessimistic
A	—	5		6			7
B	—	8		8			11
C	A	6		8			11
D	—	9		12			15
E	C	5		6			9
F	D	5		6			7
G	F	2		3			7
H	B	4		4			5
I	H	5		7			8
End	E, G, I

b.What is the probability that the project can be completed in 24 days or less? In 21 days or less? (Round your t_e and z values to 2 decimal places and "Standard deviation" to 3 decimal places. Round your final answers to 4 decimal places.)

Days	Probability
24 days or less
21 days or less

c. Suppose it is now the end of the seventh day and that activities A and B have been completed while activity D is 50 percent completed. Time estimates for the completion of activity D are 5, 6, and 7. Activities C and H are ready to begin. Determine the probability of finishing the project by day 24 and the probability of finishing by day 21. (Round your intermediate calculations to 3 decimal places and final answers to 4 decimal places.)

	Probability
Day 24
Day 21

Answer 1

1)
Network diagram is not provided.

2)
Crashing Schedule

3)