A company that manufactures can-forming equipment wants to set up an experiment to help understand the factors influencing surface finish on a particular steel sub assembly. Three factors were chosen

to be varied in the experiments. The factors were: Gencrate a tree diagram which represents the possible a)combinations of a full factorial at two levels. a design matrix representing the possible b) Generate combinations. Suppose changing the tool radius requires an 8-hour tear down procedure. Discuss strategies for limiting the number of times tool radius must be changed.c)Ind ntool d) Suppose the part being machined is 4130 pre healed steel.The part is a 1" điameter Tod which is 4" long. Should the part be measured at one point or several points? Discuss various approaches for making multiple measures on the part.