Problem $1.(15$ points$)$ A large retirement village has a total retail employment of $120.$ All $1600$ of the households in this village consist of two nonworking family members with household income of $\backslash (\backslash$$ $20,000\backslash ).$ Assuming that shopping and social$/$recreational trip rates both peak during the same hour $($for exposition purposes$),$ predict the total number of peak$-$hour trips generated by this village using the trip generation models of Examples $8\mathrm{.}1$ and $8\mathrm{.}2.(15$ points$)$

Example $8\mathrm{.}1$ Shopping$-$Trip Generation

Number of peak$-$hour vehicle$-$based shopping trips per household $\backslash (=0\mathrm{.}12+0\mathrm{.}09\backslash )($household size$)+0\mathrm{.}011($annual household income in thousands of dollars$)-0\mathrm{.}15($employment in the household's neighborhood, in hundreds$)$

Example $8\mathrm{.}2$ Social$/$Recreational Trip Generation Number of peak hour vehicle$-$based social$/$recreational trips per household $\backslash (=0\mathrm{.}04+\backslash )0\mathrm{.}018($household size$)+0\mathrm{.}009($annual household income in thousands of dollars$)+0\mathrm{.}16($number of nonworking household members$)$

Problem $2.(15$ points$)$ Consider the retirement village described in Problem $1.$ Determine the amount of additional retail employment $($in the village$)$ necessary to reduce the total predicted number of peak$-$hour shopping trips to $200.(15$ points$)$