Question $1$

A joint mode$-$destination vehicle$-$based social$/$recreational trip logit model is estimated with the following coefficients:

$\backslash$table$[[,$Auto coefficient Bus coefficient,$],[$Auto constant,$0\mathrm{.}9,0\mathrm{.}0],[$Travel time in minutes,$-0\mathrm{.}22,-0\mathrm{.}22],[$Population in thousands,$0\mathrm{.}16,0\mathrm{.}16],[$Amusement floor space $($in thousands of $f{t}^2),0\mathrm{.}11,0\mathrm{.}11]]$

It is known that $500$ social$/$recreational trips will depart from a residential area during the peak hour. There are three possible trip destinations with the following characteristics:

$\backslash$table$[[$Travel time $($in minutes$)],[,$Auto,Bus,Population $($in thousands$),$Amusement floor space $($in thousands of $f{t}^2)],[$Destination $1,14,17,12\mathrm{.}4,13\mathrm{.}0],[$Destination $2,5,8,8\mathrm{.}2,9\mathrm{.}2],[$Destination $3,18,24,5\mathrm{.}8,21\mathrm{.}0]]$

Determine the distribution of trips by mode and destination. Round off your answer to whole number.

a$)$ Going to Destination $1$ by auto Blank $1$

b$)$ Going to Destination $1$ by bus Blank $2$

c$)$ Going to Destination $2$ by auto Blank $3$

d$)$ Going to Destination $2$ by bus Blank $4$

e$)$ Going to Destination $3$ by auto Blank $5$

f$)$ Going to Destination $3$ by bus Blank $6$