USE THE PROBLEM STATEMENT BELOW TO ANSWER THE FOLLOWONG QUEESTIONS

Three routes connect an origin and destination with performance functions $t_1=2+0\mathrm{.}5x_1,t_2$

$=1+x_2$ and $t_3=4+0\mathrm{.}2x_3($with t$\text{'}$s in minutes and $x^{\text{'}}\text{'}$s in thousands of vehicles per hour$).$

Determine user$-$equilibrium flows if the total origin$-$to$-$destination demand is a$)10,000$ veh$/$h

and b$)5000ve\frac{h}{h}.$

Part a: use demand $10,000$ veh$/$h

Are all routes used? Make sure to show all logic explaining your reasoning in the PDF submission.

Yes

No

Determine the traffic flow on route $1$ in vehicles per hour. Round answer to nearest WHOLE

number.

Determine the traffic flow on route $2$ in vehicles per hour. Round answer to nearest WHOLE

number$\mathrm{.}9$am