$1.$a$.$ In a recently conducted traffic study of an existing road, three types of vehicles were $10$ identified. Average wheel loads for each type of vehicles' wheels are provided below along $CO2$:$PO2$ with AADT for each type. Find the ESAL for the base year only. $W_i^4=ESALx{W}_{18}^4.$

$\backslash$table$[[$Vehicle Type,Type $1,$Type $2,$Type $3],[$Axle Config.,,,$],[\backslash$table$[[$Axle loads $($From$],[$Left to Right$),$ Kips$]],W_1=10k,W_2=18k,\backslash$table$[[\backslash$table$[[W_1=18k,W_2=20k,],[W_3=20k$