TAMUBUSMATH $3\mathrm{.}1\mathrm{.}003.\frac{0}{6}$ Submissions Used

costs $$20$ and contains $31$ units of protein, $21$ units of fat, and $23$ units of fiber.

minimum cost?

$($a$)$ Identify and clearly define the variables needed to solve the linear programming problem.

$x=$

$y=$

$C=$

form $C=,$ where the variable you are maximizing or minimizing is alone on one side of the equal sign.$)$

$($c$)$ The objective function is subject to constraints. Determine the constraints below. $($Hint: Write the constraints line by line. Separate the non$-$negativity constraints with commas.$)$

protein constraint

fat constraint

fiber constraint

non$-$negativity constraints