Plot all the functions below. Solve the optimizations problems and provide an explanation (in a cell adjacent to the cell which contains the formula for the objective Function on each optimization problem) which Solving Method was used and why (e.g. Simplex LP"). Use x-1 as the initial point for all optimization "Linear Problem problems: a. max, f(x) = 3x, x [-3,3] b. min, f(x) = 3+,x (0,3] - c. max, g(x) = f(x)| + x, f(x) = 3x,x [-3,3] if x f d. max, f(x){ f=1, x [1,3] 0 x-f+1 ifx>f'