$\backslash$begin$\{$tabular$\}\{|$c$|$c$|$c$|$c$|$c$|\}$

$\backslash$hline $\backslash$multirow$[$t$]\{5\}\{*\}\{\backslash$begin$\{$tabular$\}\{$l$\}$

$```$

Sam allocates income between milk and cereal. Milk costs

$$2\mathrm{.}50$ per gallon, and cereal costs $$5\mathrm{.}00$ per box. Sam has $$50$

each week to spend on both goods. The table shows Sam's

marginal utility $($MU$)$ for varying levels of milk and cereal

consumption.

$```\backslash \backslash$

Given the information provided, how should Sam allocate income between milk and cereal to arrive at the optimal consumption bundle?

$\backslash$end$\{$tabular$\}\}$ & $\backslash$begin$\{$tabular$\}\{$l$\}$

Milk $\backslash \backslash$

$($gallons$)$

$\backslash$end$\{$tabular$\}$ & $\backslash ($ M U$\_\{\backslash$text $\{$milk $\}\}\backslash )$ & Cereal $($boxes$)$ & $\backslash ($ M U$\_\{\backslash$text $\{$cereal $\}\}\backslash )\backslash \backslash$

$\backslash$hline & $0$ & $---$ & $0$ & $---\backslash \backslash$

$\backslash$hline & $2$ & $16$ & $1$ & $135\backslash \backslash$

$\backslash$hline & $4$ & $15$ & $2$ & $120\backslash \backslash$

$\backslash$hline & $6$ & $13$ & $3$ & $105\backslash \backslash$

$\backslash$hline $\backslash$multirow$\{5\}\{*\}\{$Sam should purchase gallons of m$\}$ & $8$ & $9$ & $4$ & $90\backslash \backslash$

$\backslash$hline & $10$ & $8$ & $5$ & $75\backslash \backslash$

$\backslash$hline & $12$ & $7$ & $6$ & $60\backslash \backslash$

$\backslash$hline & $14$ & $6$ & $7$ & $45\backslash \backslash$

$\backslash$hline & $16$ & $5$ & $8$ & $30\backslash \backslash$

$\backslash$hline $\backslash$multirow$[$t$]\{2\}\{*\}\{$and boxes of cereal.$\}$ & $18$ & $4$ & $9$ & $12\backslash \backslash$

$\backslash$hline & $20$ & $3$ & $10$ & $8\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$