Pls teach me how to sold all of them.

(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 (e) to understand how (Ineq ) and (Ineq2) are satisfied at the solution. Answer:Now consider the following maximization problem, where (Eq1 ) and (Eq2) are set as inequal- ities. max xy s.t. ys-x-4 (Ineq1) 17 ysa 2 (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:3. (POINTS: 50) (a) Solve the following problem, using the Lagrange method learned in lecture: (Points: 7.5) max -x2 - y2 x.y s.t. y= -x-4 (Eq1) Answer: (xyl-- - - 2 -4 +4 * 5 - ) + 2 = 4 2 ) 24 24 L= - 76 -4 +>(-4-20 -4) --27-47 1= 4 = ) > C = 4 2 20 =7-4-26 - 420 Y = 4 190 = )- 24 -120 7.5) (b) Solve the following problem, using the Lagrange method learned in lecture: (Points: max - x2 - yz x,y X 17 s.t. y = A 2 (Eq2) Answer: 12 2 - X -y + >[ - X 5 1 4 - yx 2 0 2 7 - 226 +7 20 = ) -24 6