Question. In a general machining optimization problem, there are three objectives: maximizing production rate, minimizing operation cost, and maximizing cutting (surface) quality. The figure below shows the relationships among these objectives and the attributes (material removal rate MRR, machining time T, surface roughness Ra ) based on process parameters (Cutting speed (V), feed (f), depth of cut (a)). Process parameters are constrained by the physical limitations of the machines and the workpiece material being machined. Tool life, tool cost, and tool change times are important considerations to reach those objectives. If you would like to find a solution with equal trade-off between production rate and operation cost without sacrificing surface quality. How would you define an objective function? Explain