Please explain how to solve this question and Lagrange mthod.

3. (POINTS: 50) (a) Solve the following problem, using the Lagrange method learned in lecture: (Points: 7.5) max s.t. y= -x-4 (Eqi) Answer: (b) Solve the following problem, using the Lagrange method learned in lecture: (Points: 7.5) max - x- - v2 X 17 s.t. V= 2 (Eq2) Answer:Now consider the following maximization problem, where (Eq, ) and (Eq2) are set as inequal- ities. max - x T.y s.t. ys-x-4 (Ineqi ) 17 (Ineq2) (c) Explain why you cannot use the Lagrange method as learned in lecture. (Points: 5) Answer: (d) Draw a graph and identify the feasible region (i.e., the region of points (x, y) such that they satisfy all constraints). Be sure to show the regions determined by each constraint. (Points: 15) Answer:{e} Plot in your graph the solution found for items {a} and {b}, and argue whether or not they could be solutions to the above problem. (Points: 10} Answer: {f} Write a similar problem to the one above, such that both have the same solution. (Points: 5} Hint: Use your answer in part ("ellI to understand how (metal) and (inquJ are satisfied at the solution