Busn question  Operations Research
A producer of inkjet printers is planning to add a new line of printers, and you have been asked to balance the process, given the following task times and precedence relationships. Assume that cycle time is to be the minimum possible.
Task  Length (minutes)  Immediate Predecessor 
a  0.2   
b  0.4  a 
c  0.3   
d  1.3  b, c 
e  0.1   
f  0.8  e 
g  0.3  d, f 
h  1.2  g 
a.  Do each of the following: 
(2)  Assign tasks to stations in order of greatest number of following tasks. Use greatest positional weight as a tiebreaker rule. 
Work Station  Task Assigned 
I 
II 

III 
IV 
Task  Following Tasks 
a  
b  
c  
d  
e  
f  
g  
h  
(3)  Determine the percentage of idle time. (Round your answer to 2 decimal places. Omit the "%" sign in your response.) 
Percentage of idle time  % 
(4)  Compute the rate of output in printers per day that could be expected for this line assuming a 420minute working day. (Round your answer to the nearest whole number.) 
Rate of output  units per day 
b.  Answer these questions: 
(1)  What is the shortest cycle time that will permit use of only two workstations? (Round your answer to 1 decimal place.) 
Shortest cycle time  minutes 
(2)  Determine the percentage of idle time that would result if two stations were used and each station was loaded with the worktime shown in Part b(1). (Leave no cells blank  be certain to enter "0" wherever required. Omit the "%" sign in your response.) 
Percentage of idle time  % 
(3)  What is the daily output under this arrangement a using the cycle time from Part b(1)? (Round your answer to 1 decimal place.) 
Daily output  units per day 
(4)  Determine the output rate that would be associated with using the maximum cycle time. (Round your answer to 2 decimal places.) 
Brown University
1271 Tutors
California Institute of Technology
2131 Tutors
Carnegie Mellon University
982 Tutors
Columbia University
1256 Tutors
Dartmouth University
2113 Tutors
Emory University
2279 Tutors
Harvard University
599 Tutors
Massachusetts Institute of Technology
2319 Tutors
New York University
1645 Tutors
Notre Dam University
1911 Tutors
Oklahoma University
2122 Tutors
Pennsylvania State University
932 Tutors
Princeton University
1211 Tutors
Stanford University
983 Tutors
University of California
1282 Tutors
Oxford University
123 Tutors
Yale University
2325 Tutors