2. a) Define Response Surface Methodology (RSM) and its objective. State all the steps involved in RSM and the corresponding statistical model involved at the relevant steps. Explain the differences between a Central Composite Design and Box Behnken design. b) The region of experimentation for three factors are X1: time (40 $ 7, $ 80 min), X2: temperature (200 $7, $300 "C), and X3: pressure (20 s Ps50 psig). A first-order model in coded variables has been fitted to yield data from a 2' design. The model is =30+5x1 +2.5x2 +3.5x3 Find the path of steepest ascent. Is the point 71 = 85, 72 =325, P=60 on the path of steepest ascent