1
DSC 335 Operations Management
Solution to Homework Assignment #1
Problem 1
1)
The estimate of capacity requirement (# lathes required to meet demand for both A and B)
Where D
A
=4000, p
A
=2.5, Q
A
=80 and s
A
=18; D
B
=12000, p
B
=2, Q
B
=150 and s
B
=24; C=25.
M=12.27. We need 13 machines.
Problem 2
2)
Q
B
in the above equation is unknown. We let M=12 and solve for Q
B
, with all other
parameters unchanged. Q
B
= 261.82. Rounded up Q
B
=262.
3)
The cushion level, C, in the above equation is unknown. We let M=12 and solve for C,
with all other parameters unchanged. s
B
=23.3%.
Problem 3
4)
The packing step is the bottleneck of the process. The capacity rate of the process is 60
orders/hour. This is the maximum output rate of the process.
Note: the total output (# orders) processed over a day is more than (60)(12) = 720,
because the packing may work over time.
5)
For a busy day, there are totally (100)(12) = 1200 orders taken. It takes 1200/80 = 15
hours to pick all those orders. It takes 1200/60 = 20 hours to pack these orders.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Fall '10
 TolgaAydinliyim
 #, 12 Hours, 5 minutes, capacity rate

Click to edit the document details