Solve by Pen and Paper, and write the code to solve the tasks (1) A company that works with ladders wants to maximize its daily total output of large step ladders by producing x1 of them by a process P1 and x2 by a process P2, where P1 requires 2 hours of labor and 4 machine hours per ladder, and P2 requires 3 hours of labor and 2 machine hours. For this kind of work, 1200 hours of labor and 1600 hours on the machines are at most available per day. Find the optimal x1 and x2 (2) Write a program for graphing a region in the first quadrant of the x y-plane determined by linear constraints