Recall Ian$$s diet problem you did for Homework #$2$ where S and P denoted the $($main$)$ decision variables representing the number of daily servings of steak and potatoes in the diet. Now rewrite the formulation as a goal programming model using the same notations as Problem $1$ for deviation variables. Requested details as follows:

$2$a$)$ Rewrite all three $($main$)$ constraints of the problem by converting them into goal $($target$)$ constraints.

$2$b$)$ Assuming a maximum diet cost target of $$40,$ write a goal constraint for the total cost of the diet.

$2$c$)$ Write the objective function as the sum of deviation variables.

$2$d$)$ What approach would you suggest to solve this goal programming model? Just name the approach; no need to solve it$.$