Problem II. ( 16 points} Construct a 27-3 fractional factorial design using ABCF, CHEF, and ADFG as the design generators. 1. Identify the treatments to he used in the study. 2. What are the implicit generators ( generalized interactions)? 3. What is the resolution of the design? Justify your answer. 4. Show the alias structure for all main effects and twofactor interactions