We need to find the minimum cost diet for a day. $($Ignore any taste or other considerations!$)$

For your answer, please include the following:

$1.$ What framework or methodology is appropriate for solving this problem? $($such as simulation, optimization, decision theory, etc.$)$

$2.$ How can this problem be formulated using the above framework?

$3.$ What technology $($software$,$ tool$)$ is appropriate for solving this problem?

$4.$ Using the appropriate technology, what is the solution to this problem? $($Provide the pounds of each food item to be included in the diet, as well as the cost of the diet. Fractional values are permissible $-$ please provide two decimal places.$)$