Hroblem $5$: Determine the user equilibrium flows

USE THE PROBLEM STATEMENT BELOW TO ANSWER THE FOLLOWONG QUESTIONS

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 $x^{\text{'}}s$ in thousands of vehicles per hour$).$

Determine user$-$equilibrium flows if the total origin$-$to$-$destination demand is a$)10,000ve\frac{h}{h}$

and b$)5000$ veh $\frac{?}{h}.$

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.

Determine the traffic flow on route $3$ in vehicles per hour. Round answer to nearest WHOLE

number$\mathrm{.}9$