& Two prodocts $P$ and $Q$ are processed on three machines $A,B$ and $C.$ The processing time per unit esctine availability and profit per unit are as follows:

$\backslash$table$[[$Machine$,$Products,Availability $($Hours$)],[,P,Q,],[$A$,2,3,1500],[$B$,3,2,1500],[$C$,1,1,100],[$Por per unit,$10,12,]]$

Famiat the appropriate LPP and solve it by Simplex Method. Also state the shadow prices per hov is respect of machine $A,B,$ and $C.$