As part of a major plant renovation project, the industrial engineering department has been asked to balance a revised assembly operation to achieve an output of 240 units per eight-hour day. Task times and precedence relationships are as follows:

Task | Duration (minutes) | Immediate Predecessor |

a | 0.2 | – |

b | 0.4 | a |

c | 0.2 | b |

d | 0.4 | – |

e | 1.2 | d |

f | 1.2 | c |

g | 1.0 | e, f |

Do each of the following:**b.** Determine the minimum cycle time, the maximum cycle time, and the calculated cycle time. **(Round your answers to 1 decimal place.)**

The minimum cycle time | minutes per unit |

The maximum cycle time | minutes per unit |

Calculated cycle time | minutes per unit |

**c.** Determine the minimum number of stations needed. **(Round your answer to the next whole number.)**

Minimum number of stations**d.** Assign tasks to workstations on the basis of greatest number of following tasks. Use longest processing time as a tiebreaker. If ties still exist, assume indifference in choice.

Work stations | Following Tasks |

I |

II |

III |

IV |

**e.** Compute the percentage of idle time for the assignment in part d. Use the actual bottleneck cycle time in your calculation. **(Round your answer to 2 decimal places. Omit the “%” sign in your response.)**

Percentage of idle time %