$6$S$+9$P $>=75$

$19$S$+8\mathrm{.}5$P $>=40$

$10$S $+3$P $<=63$

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$.$