Click here for the Excel Data File   a. Do each of the following:     (1) Enter the number of following tasks for each of the tasks shown in the table below.             (2) Assign tasks to stations in order of greatest number of following tasks. Use greatest positional weight as a tiebreaker rule.         (3) Determine the percentage of idle time. (Round your answer to 2 decimal places.)              (4) Compute the rate of output in printers per day that could be expected for this line, assuming a 420-minute working day. (Round your answer 2 decimal places.)              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.)             (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.)             (3) What is the daily output under this arrangement a using the cycle time from Part b(1)? (Round your answer to 2 decimal places.)              (4) Determine the output rate that would be associated with using the maximum cycle time. (Round your answer to 2 decimal places.)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 111P
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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
 

 

Click here for the Excel Data File

 

a. Do each of the following:
 

 

(1) Enter the number of following tasks for each of the tasks shown in the table below.
 

 

 

 

 

 

(2) Assign tasks to stations in order of greatest number of following tasks. Use greatest positional weight as a tiebreaker rule.
 

 

 

 


(3) Determine the percentage of idle time. (Round your answer to 2 decimal places.)
  
 

 

 

 


 
(4) Compute the rate of output in printers per day that could be expected for this line, assuming a 420-minute working day. (Round your answer 2 decimal places.)
  
 

 

 

 


 
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.)
 
 

 

 

 


 
(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.)
 
 

 

 

 


 
(3) What is the daily output under this arrangement a using the cycle time from Part b(1)? (Round your answer to 2 decimal places.)
  
 

 

 

 


 
(4) Determine the output rate that would be associated with using the maximum cycle time. (Round your answer to 2 decimal places.)
  
 

 

 

 

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ISBN:
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Cengage,