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(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

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(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)

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