Home work, Operation management

Question 1
Activity Normal Time Crash Time Normal Cost Crash Cost Predecessor Max red
NT-CT Cost to Crash per period
CC-NC
A 10 8 50 150 10-8=2 150-50=100
B 4 2 40 200 4-2=2 200-40=160
C 7 6 70 160 B 7-6=1 160-70=90
D 2 1 20 50 A,C 2-1=1 50-20=30
E 3 3 30 30 A,C 3-3=0 30-30=0
F 8 5 80 290 B 8-5=3 290-80=210
G 5 4 50 180 D 5-4=1 180-50=130
H 6 3 60 180 E,F 6-3=3 180-60=120
CC-NC/NT-CT(COST TO Crash Per Period)
150-50/10-8= 100/2=50
200-40/4-2=160/2=80
160-70/7-6=90/1=90
50-20/2-1=30/1=30
30-30/3-3=0
290-80/8-5=210/3=70
180-50/5-4=30/1=30
180-60/6-3=120/3=40
Project cost without crashing is 13 days(add the sum of Max Red)
Normal cost is 400
Crash cost is 1040
Production cost is 400
Duration 45 days(sum of normal time)
(50 a day) x 15(first 15 days)=750
Day 15 plus cost 50 +40= (90)(30remaining days)= 2700
2700 + 750 =3450
ACDG IS the most cost Project Schedule because it requires theleast amount of days and steps.
Step A cost 500
Step C cost 350
Step D cost 100
Step G cost 250
15 x 50 is 750
90×8 is 720
Total cost is 1470
Question 2
ELS is the square root of 2(100,000)(300)/(450)(350)=60,000,000/135,000=222.2222
Square root of 222.222 is14.907
Set up cost is 135,000, daily holding cost is 450 x 1.2 = 540, annual is 540 x 250 = 135,000
Tbo is 450/24 = 18.75
Question 3
Fixture Machine 1 Machine 2 Machine 3 Machine 4 Total
w 10×70=700 15×70=1050 10×70=700 5 x 70= 350 2800
x 5×60=300 10×60=600 15×60=900 10×60=600 2400
y 20×50=100 10×50=500 10×50=500 5×50=250 1350
z 15×30=450 5×30=150 5×30=150 10×30=300 1000
W and y is the optimal product mix because they produce the larger amount of products based on time completion.

B Using the bottleneck method, the fixture that displays the greatest output is W because the time the machines are available is 40 hours(2400 minutes) and it is the highest productivity that exceeds this time.
L
Material Cost 2800, 2400, 1350, 1000
Contribution 70w 60x 90y 100
Question 4
2000 x.05 =100x(15-4=11)-1 =1000
3000x.20=600×10=6000
4000x.25=1000×10=10000
5000x.40=2400×10=24000
6000x.10=600×10=6000
To maximize profits the clinic must order based on the needs and in this case the amount of patients. 4000 has a higher probability of profit.