Ans( a) | Project Up | Project Stable | Project Choice | Project Hope | Project Release | | | Dr.Kvaal | 100 | 400 | 200 | 200 | 100 | Total Max Preferences | 2551 | Dr.Zuner | 0 | 200 | 800 | 0 | 0 | | | Dr.Tsai | 100 | 100 | 100 | 100 | 600 | | | Dr.Mickey | 267 | 153 | 99 | 451 | 30 | | | Dr.Rollins | 100 | 33 | 33 | 34 | 800 | | |

| Project Up | Project Stable | Project Choice | Project Hope | Project Release | Z | Supply | Dr.Kvaal | 0 | 1 | 0 | 0 | 0 | 1 | 1 | Dr.Zuner | 0 | 0 | 1 | 0 | 0 | 1 | 1 | Dr.Tsai | 1 | 0 | 0 | 0 | 0 | 1 | 1 | Dr.Mickey | 0 | 0 | 0 | 1 | 0 | 1 | 1 | Dr.Rollins | 0 | 0 | 0 | 0 | 1 | 1 | 1 | Z | 1 | 1 | 1 | 1 | 1 | | | Demand | 1 | 1 | 1 | 1 | 1 | | 5 |

| Project Up | Project Stable | Project Choice | Project Hope | Project Release | | | Dr.Kvaal | 100 | 400 | 200 | 200 | 100 | Total Max Preferences | 2251 | Dr.Zuner | 0 | 200 | 800 | 0 | 0 | | | Dr.Tsai | 100 | 100 | 100 | 100 | 600 | | | Dr.Mickey | 267 | 153 | 99 | 451 | 30 | | | Dummy | 0 | 0 | 0 | 0 | 0 | | |

Ans( b) | Project Up | Project Stable | Project Choice | Project Hope | Project Release | Z | Supply | Dr.Kvaal | 0 | 1 | 0 | 0 | 0 | 1 | 1 | Dr.Zuner | 0 | 0 | 1 | 0 | 0 | 1 | 1 | Dr.Tsai | 0 | 0 | 0 | 0 | 1 | 1 | 1 | Dr.Mickey | 0 | 0 | 0 | 1 | 0 | 1 | 1 | Dummy | 1 | 0 | 0 | 0 | 0 | 1 | 1 | Z | 1 | 1 | 1 | 1 | 1 | | | Demand | 1 | 1 | 1 | 1 | 1 | | 5 |

Ans(c) Option 1: If Dr.Zuner leads two projects | Project Up | Project Stable | Project Choice | Project Hope | Project Release | | | Dr.Kvaal | 100 | 400 | 200 | 200 | 100 | Total Max Preferences | 2251 | Dr.Zuner | 0 | 200 | 800 | 0 | 0 | | | Dr.Tsai | 100 | 100 | 100 | 100 | 600 | | | Dr.Mickey | 267 | 153 | 99 | 451 | 30 | | |

| Project Up | Project Stable | Project Choice | Project Hope | Project Release | Z | Supply | Dr.Kvaal | 0 | 1 | 0 | 0 | 0 | 1 | 1 | Dr.Zuner | 1 | 0 | 1 | 0 | 0 | 2 | 2 | Dr.Tsai | 0 | 0 | 0 | 0 | 1 | 1 | 1 | Dr.Mickey | 0 | 0 | 0 | 1 | 0 | 1 | 1 | Z | 1 | 1 | 1 | 1 | 1 | | | Demand | 1 | 1 | 1 | 1 | 1 | | 5 |

Option 2: If Dr.Mickey leads two projects | Project Up | Project Stable | Project Choice | Project Hope | Project Release | | | Dr.Kvaal | 100 | 400 | 200 | 200 | 100 | Total Max Preferences | 2518 | Dr.Zuner | 0 | 200 | 800 | 0 | 0 | | | Dr.Tsai | 100 | 100 | 100 | 100 | 600 | | | Dr.Mickey | 267 | 153 | 99 | 451 | 30 | | |

| Project Up | Project Stable | Project Choice | Project Hope | Project Release | Z | Supply | Dr.Kvaal | 0 | 1 | 0 | 0 | 0 | 1 | 1 | Dr.Zuner | 0 | 0 | 1 | 0 | 0 | 1 | 1 | Dr.Tsai | 0 | 0 | 0 | 0 | 1 | 1 | 1 | Dr.Mickey | 1 | 0 | 0 | 1 | 0 | 2 | 2 | Z | 1 | 1 | 1 | 1 | 1 | | | Demand | 1 | 1 | 1 | 1 | 1 | | 5 |

Ans(d) Option 1: If Dr.Zuner leads two projects

| Project Up | Project Stable | Project Choice | Project Hope | Project Release | | | Dr.Kvaal | 100 | 400 | 200 | 200 | 100 | Total Max Preferences | 2052 | Dr.Zuner | 20 | 450 | 451 | 39 | 40 | | | Dr.Tsai | 100 | 100 | 100 | 100 | 600 | | | Dr.Mickey | 267 | 153 | 99 | 451 | 30 | | |

| Project Up | Project Stable | Project Choice | Project Hope | Project Release | Z | Supply | Dr.Kvaal | 1 | 0 | 0 | 0 | 0 | 1 | 1 | Dr.Zuner | 0 | 1 | 1 | 0 | 0 | 2 | 2 | Dr.Tsai | 0 | 0 | 0 | 0 | 1 | 1 | 1 | Dr.Mickey | 0 | 0 | 0 | 1 | 0 | 1 | 1 | Z | 1 | 1 | 1 | 1 | 1 | | | Demand | 1 | 1 | 1 | 1 | 1 | | 5 |

Option 2: If Dr.Mickey leads two projects | Project Up | Project Stable | Project Choice | Project Hope | Project Release | | | Dr.Kvaal | 100 | 400 | 200 | 200 | 100 | Total Max Preferences | 2169 | Dr.Zuner | 20 | 450 | 451 | 39 | 40 | | | Dr.Tsai | 100 | 100 | 100 | 100 | 600 | | | Dr.Mickey | 267 | 153 | 99 | 451 | 30 | | |

| Project Up | Project Stable | Project Choice | Project Hope | Project Release | Z | Supply | Dr.Kvaal | 0 | 1 | 0 | 0 | 0 | 1 | 1 | Dr.Zuner | 0 | 0 | 1 | 0 | 0 | 1 | 1 | Dr.Tsai | 0 | 0 | 0 | 0 | 1 | 1 | 1 | Dr.Mickey | 1 | 0 | 0 | 1 | 0 | 2 | 2 | Z | 1 | 1 | 1 | 1 | 1 | | | Demand | 1 | 1 | 1 | 1 | 1 | | 5 |

Ans(f) | Project Up | Project Stable | Project Choice | Project Hope | Project Release | | | Dr.Kvaal | 86 | 343 | 171 | -100 | -100 | Total Max Preferences | 2143 | Dr.Zuner | 0 | 200 | 800 | 0 | 0 | | | Dr.Tsai | 100 | 100 | 100 | 100 | 600 | | | Dr.Mickey | 300 | -100 | 125 | -100 | 175 | | | Dr.Rollins | -100 | 50 | 50 | 100 | 600 | | |

| Project Up | Project Stable | Project Choice | Project Hope | Project Release | Z | Supply | Dr.Kvaal | 0 | 1 | 0 | 0 | 0 | 1 | 1 | Dr.Zuner | 0 | 0 | 1 | 0 | 0 | 1 | 1 | Dr.Tsai | 0 | 0 | 0 | 0 | 1 | 1 | 1 | Dr.Mickey | 1 | 0 | 0 | 0 | 0 | 1 | 1 | Dr.Rollins | 0 | 0 | 0 | 1 | 0 | 1 | 1 | Z | 1 | 1 | 1 | 1 | 1 | | | Demand | 1 | 1 | 1 | 1 | 1 | | 5 |

Ans(g) | Project Up | Project Stable | Project Choice | Project Hope | Project Release | | | Dr.Kvaal | 86 | 343 | 171 | -100 | -100 | Total Max Preferences | 3226 | Dr.Zuner | 0 | 200 | 800 | 0 | 0 | | | Dr.Tsai | 100 | 100 | 100 | 100 | 600 | | | Dr.Mickey | 300 | -100 | 125 | -100 | 175 | | | Dr.Rollins | -100 | 50 | 50 | 100 | 600 | | | Dr.Ariagga | 250 | 250 | -100 | 250 | 250 | | | Dr.Santos | 111 | 1 | -100 | 333 | 555 | | |

| Project Up | Project Stable | Project Choice | Project Hope | Project Release | Z | Supply | Dr.Kvaal | 0 | 1 | 0 | 0 | 0 | 1 | 1 | Dr.Zuner | 0 | 0 | 1 | 0 | 0 | 1 | 1 | Dr.Tsai | 0 | 0 | 0 | 0 | 1 | 1 | 1 | Dr.Mickey | 1 | 0 | 0 | 0 | 0 | 1 | 1 | Dr.Rollins | 0 | 0 | 0 | 0 | 1 | 1 | 1 | Dr.Ariagga | 0 | 0 | 0 | 1 | 0 | 1 | 1 | Dr.Santos | 0 | 0 | 0 | 1 | 0 | 1 | 1 | Z | 1 | 1 | 1 | 2 | 2 | | | Demand | 1 | 1 | 1 | 2 | 2 | | 7 |