As it does not satisfy ( if min Ai >= max Bi or min Ci >=max B , Ai = Ai + Bi and Bi = Bi + Ci ) how can we solve this problem

Bag production takes place in a setting that can be modeled as a three machine flowshop. First stage unpacks and organizes the input raw material and manufactures the in-house parts, components and subassemblies, second stage assembles the bags, and the third stage applies a final protective material for anti-dust and anti-crease. Since the production facility may be needed for other products (such as luggage and travel accecories) it is best to complete the production of HB,MB and FB as soon as possible. The processing times in minutes on the three stages of the flowshop for different items are as listed in the table below