$\backslash$table$[[$Clop$,$Misi$-$days,Preparation cons $($$$),$Proffil $($$$)],[$Wheal$,2,3,12],[$Com$,2,1,10],[$Soyboan$,0,4,8]]$

$\backslash$table$[[1,x_1,x_1,x_3,S_1,1S_2,$RHS$],[1,2,0,0,4,2,14010],[0,\frac{1}{2},0,1,-\frac{1}{8},\frac{1}{4},57514],[0,1,1,0,\frac{1}{2},0,25]]$

i$)$ Suppose overtime is ayailable, what is the maximum waye the farmus shesuld you foy fors each additional man$-$day of labor? Explain.

b$)$ What is the range of wheat profit for which the current solution is optirast?

c$)$ Due to a recent cash flow problem, the farmer can now spend orly $$21($instead of $5,00)$ on preparation. Would the optimal solution change? Answer YESMNO and show why.

d$)$ State the optimal solution to the dual of this LP $($i$.$e$.$ optimal values of the dual variables and dual objective function value$).$