You have been given authorization to study a flame-resistant material. there are 8 key factors, (a, b,c, d,e, f,g, h) 1. how many samples at a minimum would you need to request to perform a full fractional experiment of any use? 2. you have been authorized only 100 samples at maximum. what are the feasible balanced fractional experiments you could run? 3. for each of the experiments you listed in the last part, what are the engineering trade-offs in the feasible ones? 4. pick your choice of experiment and state issues with that experiment you would need to keep in consideration during the analysis phase. 5. assume de and bc are significant and critical two way interactions, use the frf2 package to determine generators for your choice above to address these.