**Problem:**

Planners have estimated the following models for the AM Peak Hour

Where:

= Person Trips Originating in Zone

= Person Trips Destined for Zone

= Number of Households in Zone

You are also given the following data

Variable | Dakotopolis | New Fargo |
---|---|---|

10000 | 15000 | |

8000 | 10000 | |

3000 | 5000 | |

2000 | 1500 |

A. What are the number of person trips originating in and destined for each city?

B. Normalize the number of person trips so that the number of person trip origins = the number of person trip destinations. Assume the model for person trip origins is more accurate.

**Solution:**

A. What are the number of person trips originating in and destined for each city?

Households () | Office Employees () | Other Employees () | Retail Employees () | Origins | Destinations | |
---|---|---|---|---|---|---|

Dakotopolis | 10000 | 8000 | 3000 | 2000 | 15000 | 16000 |

New Fargo | 15000 | 10000 | 5000 | 1500 | 22500 | 20750 |

Total | 25000 | 18000 | 8000 | 3000 | 37500 | 36750 |

B. Normalize the number of person trips so that the number of person trip origins = the number of person trip destinations. Assume the model for person trip origins is more accurate.

Use:

Origins () | Destinations () | Adjustment Factor | Normalized Destinations () | Rounded | |
---|---|---|---|---|---|

Dakotopolis | 15000 | 16000 | 1.0204 | 16326.53 | 16327 |

New Fargo | 22500 | 20750 | 1.0204 | 21173.47 | 21173 |

Total | 37500 | 36750 | 1.0204 | 37500 | 37500 |