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Engineering Economics Topics & Concepts Covered

Topics	Concepts
Time Value of Money	Present Value & Future Value
Cost of Capital	Weighted Average Cost of Capital (WACC)
Cash Flow Analysis	Net Present Value (NPV)
Financial Decision Making	Internal Rate of Return (IRR)
Project Evaluation & Selection	Payback Period
Depreciation Methods	Straight-Line Depreciation
Break-Even Analysis	Double-Declining Balance Depreciation
Risk & Uncertainty in Decision Making	Contribution Margin

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Recently Asked Engineering Economics Questions

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Q1:A retail outlet is being designed in a strip mall in Nebraska. For this outlet, the installed fiberglass insulation to protect against heat loss in the winter and heat gain in the summer will cost an estimated $80,000. The annual savings in energy due to the insulation will be $19,000 at EOY one in the 9-year life of the outlet, and these savings will increase by 15% each year thereafter. If the annual interest rate is 18%, is the cost of the proposed amount of insulation justified? Click the icon to view the interest and annuity table for discrete compounding when i= 15% per year. Click the icon to view the interest and annuity table for discrete compounding when i= 18% per year. The present equivalent of energy savings is $ (Round to the nearest dollar.)See Answer
Q2: Suppose that the parents of a young child decide to make annual deposits into a savings account, with the first deposit being made on the child's fifth birthday and the last deposit being made on the 15th birthday. Then, starting on the child's 18th birthday, the withdrawals as shown on the diagram below will be made. If the effective annual interest rate is 6% during this period of time, what are the annual deposits in years 5 through 15? Use a uniform gradient amount (G) in your solution. Click the icon to view the diagram for cash flows. Click the icon to view the interest and annuity table for discrete compounding when /= 6% per year. The annual deposits in years 5 through 15 are $. (Round to the nearest cent.) Years 5th Birthday 6 7 8 9 10 11 A = ? 2,200 i= 6%/yr 12 13 14 15 16 17 2,550 Q 3,250 Q 2,900 18 19 20 21 GSee Answer
Q3: Domino's Pizza in Auburn requires a new pizza oven that needs to last six years. Three options are available, and the quality of each is reflected in their associated costs and benefits (in terms of better quality, reduced floor space usage, more automation, and safer working environment): Oven A, which costs $30,000, has annual operating and labor costs of $25,000 and a useful service life of six years with an estimated salvage value of $3,000. This medium-quality option will generate $55,000 in benefits per year. Oven B, which costs $60,000, has annual operating and labor costs of $20,000 and a useful service life of six years with an estimated salvage value of $4,000. This high-quality option will generate $60,000 in benefits per year. Use the existing oven (Option C) after an overall to rebuild it which costs $10,000. The annual operating and labor costs are $30,000. The company estimates it will generate $50,000 in benefits each year from the rebuild. There is no salvage value after six years. This is a before-tax analysis. The initial cost of the new oven or repair happens at time 0. Otherwise, we use the end of year convention. To accomplish this case, I recommend you use a spreadsheet such as xls. You will upload the spreadsheet (or scanned manual sheet if you do it by hand). You will also upload a separate pdf file with the answers to Question 5. Thank you. Q1 (25pts): According to the present-worth (PW) criterion, which option would be chosen at 11%? Show all of the years and categories (such as investment, revenue, expense, salvage) as a table in the xls or sheet. Q2 (20pts): Now, add a financing option for options A and B. The company is considering financing $25,000 of the initial investment at 8% APR for Ovens A or B. Payments are due quarterly. The life of the loan is two years. Calculate the interest and principal paid per payment period and use that to complete amortization tables. Update your analysis for Options 1 and 2 (ignore tax effects). Q3 (25 pts): Use the Net Cash Flows from Q1 to calculate the cumulative discounted cash flows for each option. From that, determine the project balance of each option at each end of year and the discounted payback periods for each option. From the discounted payback period perspective, which project is best? Q4 (25 pts): Calculate the IRR for each option of Q1. Perform an incremental analysis (if necessary) to choose the best Oven option for Domino's from the IRR perspective. For that best option, calculate the Benefit to Cost ratio. Q5 (5 pts): Considering the outcomes of PW, IRR, and Discounted Payback Period along with other factors that you can think of that might be relevant, write a few sentences that advocate (provide a rationale for) each option as the best choice.See Answer
Q4:Problem 2. (5 points) Consider the following mutually exclusive revenue producing projects with i* = 15%. Project A Year 2023 Gross revenue Operating costs Capital costs (10,000) 2024 2025 2026 2027 2028 2029 2030 2031 5,000 11,000 11,000 11,000 11,000 11,000 11,000 11,000 (3,500) (4,500) (4,500) (4,500) (4,500) (4,500) (4,500) (4,500) (10,000) Project B Year Gross revenue Operating costs 2023 2024 2025 2026 2027 2028 5,000 5,000 5,000 5,000 5,000 (1,000) (1,000) (1,000) (1,000) (1,000) Capital costs (6,000) Perform an incremental analysis to determine which project should be selected.See Answer
Q5:Problem 1. (5 points) You finally found a rental property that looks promising. As you prepare your offer, you need to determine the maximum price that you are willing to pay (breakeven). You anticipate obtaining $12,000 in revenue starting in year 1 through year 7, and you expect annual maintenance and insurance costs to be $3,000. You will need to put on a new roof in year 3 ($7,000). Assuming a hurdle rate of 4.5% (the current rate of your money market account) and a 10-year project evaluation life, determine the breakeven price of the house. Assuming you can negotiate the price to $55,000, determine the NPV, ROR, PVR, BCR, and GROR for this opportunity.See Answer
Q6:6 A refinery manufactures two grades of jet fuel, F1 and F2, by blending four types of gasoline, A, B, C, and D. Fuel F1 uses gasolines A, B, C, and D in the ratio 1:1:2:4, and fuel F2 uses the ratio 22:13. The supply limits for A, B, C, and D are 1000, 1200, 900, and 1500 bbl/day, respec- tively. The costs per bbl for gasolines A, B, C, and D are $120, $90, $100, and $150, respectively. Fuels F1 and F2 sell for $200 and $250 per bbl, respectively. The minimum demand for F1 and F2 is 200 and 400 bbl/day, respectively. Develop an LP model to determine the optimal production mix for F1 and 12-See Answer
Q7:5 A gambler plays a game that requires dividing bet money among four choices. The game has three outcomes. The following table gives the corresponding gain or loss per dollar for the different options of the game. Return per dollar deposited in choice Outcome 3 1 - 4 15 2 5 -3 9. 4 3 3 -9 10 -8See Answer
Q8:4 Develop a model for determining the optimum production schedule for the refinery. Traffic Light Control, Stark and Nicholes (1972). Automobile traffic from three highways, H1, H2, and H3, must stop and wait for a green light before exiting to a toll road. The tolls are $4, $5, and $6 for cars exiting from H1, H2, and H3, respectively. The flow rates from H1, H2, and H3 are 550, 650, and 450 cars per hour. The traffic light cycle may not exceed 2.2 minutes, and the green light on any highway must be on for at least 22 seconds. The yellow light is on for 10 seconds. The toll gate can handle a maximum of 500 cars per hour. Assuming that no cars move on yellow, determine the optimal green time interval for the three highways that will maximize toll gate revenue per traffic cycle. four choices The nameSee Answer
Q9:3 Shale Oil, located on the island of Aruba, has a capacity of 1,500,000 bbl of crude oil per day. The final products from the refinery include three types of unleaded gasoline with different octane numbers (ON): regular with ON 87, premium with ON 89, and super with ON-92. The refining process encompasses three stages: (1) a distillation tower that producés feedstock (ON 82) at the rate of 2 bbl per bbl of crude oil, (2) a crackér unit that produces gasoline stock (ON-98) by using a portion of the feedstock produced from the distillation tower at the rate of 5 bbl per bbl of feedstock, and (3) a blender unit that blends the gasoline stock from the cracker unit and the feedstock from the distillation tower. The company estimates the net prof- it per barrel of the three types of gasoline to be $6.70, $7.20, and $8.10, respectively. The input capacity of the cracker unit is 200,000 barrels of feedstock a day. The demand limits for regular, premium, and super gasoline are 50,000, 30,000, and 40,000 barrels, respectively, per day. Develop a model for determining the optimum production schedule for the refinery.See Answer
Q10:7. If you desire to withdraw the given amounts over the next five years from a savings account that earns 5% interest compounded annually, how much do you need to deposit now? Year 2 3 4 5 Amount $3,000 $3,500 $4,200 $6,500See Answer
Q11:1. If you deposit $100 now (n = 0) and $200 two years from now (n = 2) in a savings account that pays 10% interest, how much would you have at the end of year 10?See Answer
Q12:Perot Corporation is developing a new CPU chip based on a new type of technology. Its new chip, the Patay2 chip, will take two years to develop. However, because other chip manufacturers will be able to copy the technology, it will have a market life of two years after it is introduced. Perot expects to be able to price the chip higher in the first year, and it anticipates a significant production cost reduction after the first year. The relevant information for developing and selling the Patay2 is given as follows: PATAY2 CHIP PRODUCT ESTIMATES Development cost Pilot testing Debug Ramp-up cost Advance marketing $27,600,000 $6,900,000 $4,140,000 $4,140,000 $6,900,000 $1,380,000 per year $655.00 $545.00 $820.00 $650.00 288,000 188,000 Marketing and support cost Unit production cost year 1 Unit production cost year 2 Unit price year 1 Unit price year 2 Sales and production volume year 1 Sales and production volume year 2 Interest rate 10%/nProject Schedule Patay2 Chip Development Pilot testing Debug Ramp-up Advance marketing Marketing and support Production and sales Patay2 Chip Project Timing Year 1 Year 2 1st half 2nd 1st half half 2nd half Year 3 1st half Year 4 1st 2nd half 2nd half half/nAssume all cash flows occur at the end of each period. a. What are the yearly cash flows and their present value (discounted at 10 percent) of this project? What is the net present value? Note: Enter your answer in thousands of dollars. Perform all calculations using Excel. Do not round any intermediate calculations. Negative value should be indicated by a minus sign. b. Perot's engineers have determined that spending $10 million more on development will allow them to add even more advanced features. Having a more advanced chip will allow them to price the chip $50 higher in both years ($870 for year 1 and $700 for year 2). What is the NPV of the project if this option is implemented? Note: Enter your answer in thousands of dollars. Perform all calculations using Excel. Do not round any intermediate calculations. Negative value should be indicated by a minus sign. c. If sales are only 276,000 the first year and 138,000 the second year, what would the NPV of the project be? Assume the development costs and sales price are as originally estimated.See Answer
Q13:Chapter 7 Homework - VW Emissions Scandal (Case 38 in "Engineering Ethics") Directions: Please submit your assignment as a PDF on Blackboard. You can use this word document as a template for answering the homework questions. Use concepts and definitions discussed in the text to answer the questions. 1. What business pressures did VW face when choosing to "manufacture" their test results? What type of "clean enough" criterion do you think the Clean Air Act tries to follow? (3 pts) 2. What type of industry attitude did VW have with respect to the environment, especially considering the CAA? (4 pts) 3. How could VW have used the CAA as a way to move towards sustainable development? (4 pts) 4. What type of responsibility (moral and legal - if legal, to what degree) do the engineers involved in fabricating test results have within this case study? (4 pts)See Answer
Q14:Q3. [15 marks] Find the annual worth of the shown cash-flow diagram, as a function of X, when i = 10% per year. 0 1 2X X 2X 3X 4X 3X 2X X 5 6 7 8 9 10 11 12 13 2X 14See Answer
Q15:Question 1 25 points Save Answer A Linear Equation of the form y = mx + b becomes a Linear Function when y = f(x) = mx + b. The linear function is popular in business and economics because it has many important applications. One such important function to a business is the profit function. In your own words, A) Explain the mathematical concept of the profit function P(x). B) Using the real-life application below, for the profit function, determine the following: A company receives $45 for each unit of output sold. It has a variable cost of $25 per item and a fixed cost of $1600. What is its profit, P(x), if it sells (a) 70 items, (b) 140 items, and (c) 280 items? Hint: C(x) = 1600 + 25xSee Answer
Q16: Case Study #2 IE 5304 - Advanced Engineering Economy Summer 2022 You are evaluating a mining project in South America. Leasing the land and the mineral rights from the government will cost $450,000 to win the lease and $50,000 annually as the lease payment for 22 years. In the first year developing the deposit will require $100,000 for the initial planning and $400,000 for core drilling to better delineate the deposit. In year 2, $1,250,000 will be required to purchase and install the drag-line. Its salvage value will be zero, and it will cost $200,000 per year to operate. Roads and buildings will cost another $950,000 in year 1 and $175,000 annually. At the start of year 3, the following equipment will be purchased: • 16 off-road dump trucks for $150,000 each – ten year life - • 6 pickups for $25,000 each - five year life • 4 loaders for $190,000 each - ten year life • 2 conveyors for $325,000 each - ten year life All the listed equipment from above will have a salvage equal to 10% of the first cost. Annual operating and maintenance costs are estimated to be 33% of the first cost for the vehicles and 20% for the conveyors. Assume purchases of equipment made at the end of their useful lives can be made at the same costs listed above. In year 3, the production volume will be 50,000 tons. This will increase to 75,000 tons for years 4 through 6, but then will fall by 2% per year. The initial yield from the deposit will be 1.3%, but will fall by 0.04% per year (as a percentage). The minerals are worth $1.80 per pound now, which is expected to increase by $0.03 per year. Calculate the following utilizing Excel: A. If the interest rate is 9%, find the project's Net Present Value (NPV). B. What happens in terms of NPV if a labor strike stops production for all of Year 7? C. Run your financial model for 5%, 7%, 9%, 12%, and 15%. Plot NPV versus interest rate. What conclusions can you draw from the graph? D. Utilize Goal Seek/Solver to calculate the initial mineral worth that produces a Net Present Value equal to zero at an interest rate of 9%. Turn in one Excel file. Clearly outline the various cash flow tables. Structure the problem as a table organized by "Revenue less Costs" by year. Embed the questions (A-D) in the spreadsheet and clearly state the solutions for each question. You will be graded on formatting and appearance it needs to look professional. Design how the problem solutions will be designed/look prior to starting the problem. Use the power of Excel!!! Include the following in your submission: Information Block, Data Block, Analysis Block, Graphics Block and Discussion Block. Important note: this is not a group project. You MUST work individually. You will be penalized if you work together.See Answer
Q17:Today you borrow $10,900 to pay for your expected college costs over the next 4 years, including a master's degree. 2 years from now, you determine that you need an additional $4,100 so you borrow this additional amount. Starting 4 years from the original loan (2 years from the 2nd loan), you begin to repay your combined debt by making annual payments of $3,000. You will make these payments for 10 years. Draw a cash flow diagram of this situation from your perspective. The cash flow diagram can be first represented by end of year cash flows, Aj, for years, j = 0,1,2,...13. See Answer
Q18:Today you borrow $10,900 to pay for your expected college costs over the next 4 years, including a master's degree. 2 years from now, you determine that you need an additional $4,100 so you borrow this additional amount. Starting 4 years from the original loan (2 years from the 2nd loan), you begin to repay your combined debt by making annual payments of $3,000. You will make these payments for 10 years. Draw a cash flow diagram of this situation from your perspective. The cash flow diagram can be first represented by end of year cash flows, Aj, for years, j = 0,1,2,...13. See Answer
Q19:How much will a $25,500 investment today be worth in 6 years if it earns 11.0% annual compound interest? $See Answer
Q20:Explain the difference between analytic and synthetic thinkingSee Answer

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