# Problem 4: Output/Cycle time

See attached file to answer the questions below:

Balance the assembly line for the tasks contained in the table. The desired output is 240 units per day. Available production time per day is 480 minutes.

a) What is the desired Cycle time in seconds? (4 points)

b) What is the theoretical minimum number of stations? (4 points)

c) Use trial and error to work out a solution in the table below. Your efficiency should be at least 90%. (10 Points)

d) Calculate the efficiency of your solution. (2 points)

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xxxxx xxxxxxxx xxxxxxx

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xx xxxxxxx the xxxxxxxx line xxx the xxxxx contained in xxx table. xxx desired output xx xxx units per xxxx xxxxxxxxx production time per day is 480 minutes.

xxxxxxxxxxxxxxxxxx Element | Time xxxxxx | xxxxxxxxx Predecessor(s) |

A | 40 | xxx |

x | xx | --- |

x | xx | x |

x | 55 | x |

x | 65 | B |

x | 40 | C,D |

x | 25 | xxx |

xxxx xx xxx desired xxxxx xxxx xx xxxxxxxx xx xxxxxxx

Answer:-

xxxxxxxxxx time xxx xxx = 480 minutes x 8 xxxxx

xxxxxxx xxxxxx xxxxxxx xx xxx units per day = 240/8 x 30 xxxxx xxx hour

xxxxxx xxxxxxx xxxxx time xx xxxxxxx is given xx

x = 3600/30 = **120 **seconds xxx xxxxx

xxxx xx the xxxxxxxxxxx xxxxxxx number xx stations? xx points)

Answer:-

xxxxxxxxxxx minimum, TM = (sum of xxx time) /c

x (40+45+55+55+65+40+25)/360

x xxxxxxx =

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xxxxxx see the xxxxxxxxxx xxx xxxxxxxxx xx you xxxx any xxxxxxxxxxxxx please ask me. Thanks.

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4. xxxxxxx the assembly line for xxx tasks xxxxxxxxx xx xxx table. xxx xxxxxxx output is 240 units per day. xxxxxxxxx production xxxx per day xx 480 minutes.

xxxxxxxxxxWork xxxxxxx | Time (Sec.) | Immediate Predecessor(s) |

A | 40 | xxx |

x | 45 | --- |

x | xx | x |

D | 55 | B |

x | 65 | x |

x | xx | xxx |

G | 25 | D,E |

xx What xx the xxxxxxx xxxxx xxxx in xxxxxxxx xx xxxxxxx

Cycle xxxx xx xxxxx by,

xxx c xxxx = xxxx xxxxxxxxxxx xxxxxxxxx xxxxxxxxxxxxxxxx

xxxx = **120** seconds/unit

xx xxxx is xxx xxxxxxxxxxx xxxxxxx xxxxxx of xxxxxxxxx xx xxxxxxx

xx

xxxx xxxxxxxxxxx xxxxxxx xxxxxx of xxxxxxxx xx given by,

xxxxxx = (Σt)/c = (40 x xx x xx + xx + 65 + 40 + 25)/120

x xxxxxxxx

x 2.7083 xx **3** xxxxxxxxx

c) Use xxxxx and xxxxx to xxxx xxx a solution xx the xxxxx below.

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