John Hughes's baker problem

Quantities of ingredients (A, B, & C) available:-
A 685; B 720; C 860

Product composition (products X, Y & Z):-
     X = 2 A + 2 B + C
     Y = A + 3 C
     Z = A + 2 B + C

Profit per unit of product:-
     X_p = 5.20
     Y_p = 5.40
     Z_p = 4.30

Question: How much of each product should the baker make in order to maximise his profit?