A snack food manufacturer buys corn for tortilla chips from two suppliers, one in Iowa and one in Illinois. The price per unit of the Iowa corn is $$6\mathrm{.}20$ and the price per unit of the filinois corn is $$5\mathrm{.}60.($a$)$ Define variables that would tell how many units to purchase from each source. $\backslash [\backslash$text $\{$ Let $\}$ x$\_\{1\}\backslash$text $\{$ be the from fowa, and let $\}$ x$\_\{2\}\backslash$text $\{$ be the numbet of units from tilinois. $\}\backslash ]$

$($b$)$ Develop an objective function that would minimize the total cost $($in dollars$).$ Min $($c$)$ The manufacturer needs at least $12,500$ units of corn. The towa cooperative can supply up to $7,500$ units, and the $1$llinois cooperative can supply at most $5,500$ units. Develop constraints for these conditions. required units of corn Iowa supply Tilinois supply