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{ "quality": "incomplete", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Septic System Cost Analysis", "Present Worth of Periodic Costs" ], "current_concepts": [ "Net Present Worth", "Present Worth Calculation", "Engineering Economics" ] } ## Identify the missing parameters from the context of Deployed Sewage System Analysis $$ \begin{aligned} &\text{Discount Rate } (i) = 10\% = 0.10\ &\text{Installation Cost} = \$150,000\ &\text{Pumping Cost (every 5 years)} = \$20,000\ &\text{Pumping at Year 5 } (N = 5)\ &\text{Pumping at Year 10 } (N = 10) \end{aligned} $$ ## Calculate the present worth of each cost component $$ \begin{aligned} &PW_{\text{installation}} = 150,000\ &PW_{\text{pumping, Year 5}} = \frac{20,000}{(1 + 0.10)^5} = \frac{20,000}{1.61051} \approx 12,418.43\ &PW_{\text{pumping, Year 10}} = \frac{20,000}{(1 + 0.10)^{10}} = \frac{20,000}{2.59374} \approx 7,710.87 \end{aligned} $$ ## Sum the present worths to find the total Net Present Worth of costs $$ \begin{aligned} &NPW = 150,000 + 12,418.43 + 7,710.87 = 170,129.30 \end{aligned} $$ Option b: Septic System. For the Deployed Sewage System Analysis above, what is the Net Present Worth of the Septic System Option, including the present worths of the cost of installation as well as the year 5 and year 10 pumpings? 170,129.30 { "subject": "Business", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Business", "Engineering Economics", "Net Present Worth" ] }

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Identify the missing parameters from the context of Deployed Sewage System Analysis

Calculate the present worth of each cost component

Sum the present worths to find the total Net Present Worth of costs

Answer: