Problem $1.(10$ points$)$ It is known that $4000$ automobile trips are generated in a large residential area from noon to $1$:$00$ PM on Saturdays for shopping purposes. Four major shopping centers have the following characteristics:

$\backslash$table$[[$Shopping center,Distance from residential area $($mi$),$Commercial floor space $($thousands of ft$^(2))],[1,2\mathrm{.}4,200],[2,4\mathrm{.}6,150],[3,5\mathrm{.}0,300],[4,8\mathrm{.}7,600]]$

If a logit model is estimated with coefficients of $-0\mathrm{.}543$ for distance and $0\mathrm{.}0165$ for commercial space $($in thousands of $f{t}^2),$ how many shopping trips will be made to each of the four shopping centers?