Problem $3$:

The table below shows a four$-$lane highway's total $($ADTT$)$o and LEF for each type of truck. If the annual traffic growth rate is $2\mathrm{.}5\%,$ the base year is $2024,$ and the target year is $2044,$ determine the design ESALs for $2044.$

Assume a directional factor of $50\%.$

$\backslash$table$[[$Truck category,Truck factor $($ESALs per truck$),],[2-$axle,$0\mathrm{.}70,210],[3-$axle,$0\mathrm{.}85,120],[4-$axle,$1\mathrm{.}20,85],[5-$axle,$1\mathrm{.}60,180],[6-$axle,$2\mathrm{.}24,122]]$