please answer

Problem 3 {25 pts} You need to construct a 24 full factorial experiment with four factors A, H, (3,11 The two levels of each factor are denoted by (Issuer level) and | [higher level}. Four machines [machine is not an experimental factor] are available for the experiment, and owing to resource constraints, you cannot conduct more than four trials on each machine. There may some difference among the four machines in terms of performances. {a} What would be the block size in this experiment? {b} How many factorial effects will be confounded with the block effects? {c} Using the generators B. 2 ABC and 32 = ABE. design the experiment by showing which of the 16 trials [i.e.. combinations of A,B,C,D) will be conducted on machine I. which on machine 2, etc. You need not randomize the trials. {d} Will any two-factor interaction be confounded with blocking effects? If so. which one