TProblem

Planners have estimated the following models for the AM Peak Hour

${\displaystyle T_{O,i}=1.5*H_{i}\,\!}$

${\displaystyle T_{D,j}=(1.5*E_{off,j})+(1*E_{oth,j})+(0.5*E_{ret,j})\,\!}$

Where:

${\displaystyle T_{O,i}\,\!}$ = Person Trips Originating in Zone ${\displaystyle i\,\!}$

${\displaystyle T_{D,j}\,\!}$ = Person Trips Destined for Zone ${\displaystyle j\,\!}$

${\displaystyle H_{i}\,\!}$ = Number of Households in Zone ${\displaystyle i\,\!}$

You are also given the following data

Data

Variable	Dakotopolis	New Fargo
${\displaystyle H}$	10000	15000
${\displaystyle E_{off}}$	8000	10000
${\displaystyle E_{oth}}$	3000	5000
${\displaystyle E_{ret}}$	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.