HW #5, Question #1 [6 points]. As an engineering manager, one of your most important responsibilities is to select the best investment opportunities for your organization. You've tasked several of your employees with proposing a process improvement project that would result in additional benefits to the organization from cost savings (labor, material, etc.) or new sales revenues. The projected cash flows for three of these project proposals are shown in the table below. Your firm's MARR is 15%. Note: In the table a (-) entry means this period does not apply to the project. For example, Elle's proposal lasts for only three years, while Anthony's Brittany's, and Cecilia's proposals last for four years 0 1 2 4 5 Anthony's Proposal -$12,8709,7005,500 1,450 1,450 Brittany's Proposal $10,725 8,5805,000 5,000 715 Cecilia's Proposal-$28,600 10,725X12,870X Desmond's Proposal-$10,7253,580 3,5803,580 3,5803,580 Elle's Proposa $22,800 8,930 8,930 12,870 (a) 12 points] Consider only Anthony's and Brittany's proposals, which are mutually exclusive. Which of these two projects should you select for investment? Why did you make this decision? Use a net present worth analysis approach to answer this question and assume that your firm's MARR is 15% (b) [2 points] Cecilia believes that her project would yield a $20,000 profit for the company over the life of the project. What would the value of X need to be if this statement were true? Check your answer to prove that your solution is correct. (c) [2 points] Consider only Desmond's and Elle's proposals, which are mutually exclusive. Which of these two project should you select for investment? Use a net present worth analysis approach and state all of the assumptions required for this analysis