# (Solved Homework): EMGT 609-45 Engineering Cost Analysis Homework # 8 Due Date: 6:00 PM, Tuesday,…

EMGT 609-45 Engineering Cost Analysis Homework # 8 Due Date: 6:00 PM, Tuesday, September 12 Problem 1 (chapter 13) Three alternatives are being considered for an engineering project. Their cash -flow estimates are shown in the accompanying table. A and B are mutually exclusive, and C is an optional add-on feature to alternative A. Investment funds are limited to \$6,000,000. Another constraint on this project is the engineering personnel needed to design and implement the solution. No more than 12,000 person-hours of engineering time can be committed to the project. MAR-10%. Initial investment (\$106) After-tax annual savings (\$106), years one through five 1.3 2.20.9 Personnel requirement (hours) 4.0 4.5 1.0 7,000 9,000 3,000 1) Set up a linear integer programming formulation of this resource allocation problem 2) Use Excel solver to find the optimal solutions. Submit your spreadsheet solutions only) 3) Interpret your results. Problem 2 (chapter 14) See attached Excel file to find the table of alternatives and attributes. The weights are defined by you (i.e. you can assign a higher weight value for the attribute which are more important to you) Using the Additive Weights Method, rank the alternatives and determine which the superior alternative is? (Submit your spreadsheet solutions only)

## Expert Answer

Answer

.The decision variable in Green
The constrains are in Blue
And the objective function is in Orange

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On solving:

 A B C Initial inv 4000000 4500000 1000000 Saving 1300000 2200000 900000 Hours 7000 9000 3000 Invest or not (1= yes, 0= No) 0 1 1 1 = 1 Total inv 5500000 <= 6000000 Constrain on A or B Return rate= Savings/Investment 0.563636 Maximize Hours used 12000 <= 12000

So Investment on B and C.

(Note: Return in year 1 or sum of all is remianing the same (As MARR is same for all invertments, so its not a factor in decision changing)

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