An experimenter is interested in studying the effects of threefactors – feed rate, cutting speed (SPEED), and tool angle (ANGLE)- on the surface finish of a metallic part. Two levels of eachfactor are chosen (shown below). FeedRate             100      200 CuttingSpeed      300     500      ToolAngle           30      45        (a) Design a complete factorialexperiment for the experimenter. (b) Now, suppose two machines (A andB) are used to complete the experiment. How would you change theexperiments in (a) to avoid Block Effect? Attached