Problem 6. Consider a helicopter armament subsystem which aims at a specific target. To simplify things, let's assume that the target is in a two-dimensional space and corresponds to the origin (O) of an (x, y)-coordinate system. Because the wind speed, along with the helicopter's speed and height are all factors that may not be perfectly controlled, aiming at the target on (0,0) may not be optimal to maximize the effectiveness of the attack. You have 10 runs on your budget and would like to choose the best design abiding to the following constraints. The horizontal deviation from target, x, has to be between-100 and 100 yds. The same is applicable to the vertical deviation from target, y, it can only be between - 100 and 100 yds. In addition, because the direction of the wind in the area where the target is located is typically NW or SE the engineers have added two more constraints. The sum of the two deviations needs to be no more than 100 yds. Last, the sum of the two deviations has to be at least -50 yds. Draw the feasible design space and suggest a 10 run design to fit a full model with main effects, interactions, and potentially test for curvature. [10 points) a Mathematically, the constraints are labeled below: 1. xls 100 2. lyl s 100 3.-50 SX + y 100