The price function is generated while solving the primal problem. However; different to the LP dual variables; the characteristics of the dual price function depend on the algorithmic approach used to solve the MIP problem. Thus; the cutting plane approach provides nondecreasing and superadditive price functions while branch and bound algorithm generates piecewise linear; nondecreasing and convex price functions. Here a hybrid algorithm based on branch and cut is investigated; and a price function for that algorithm is established. This price function presents a generalization of the dual price functions obtained by either the cutting plane or the branch and bound method.