ENGINEERING ECONOMY (1ST EXAM COVERAGE) Engineering Economy – involves the systematic evaluation of the economic merits of proposed solutions to engineering problems. –To be economically acceptable, solutions to engineering problems must demonstrate a positive balance of long-term benefits over long-term costs, and they must also: o promote the well-being and survival of an organization, o embody creative and innovative technology and ideas, o permit identification and scrutiny of their estimated outcomes, and o translate profitability to the “bottom line” through a valid and acceptable measure of merit. Rational Decision-Making Process: 1. 2. 3. 4. 5. 6. 7. Recognize a decision problem Define the goals or objectives Collect all the relevant information Identify a set of feasible decision alternatives Select the decision criterion to use Select the best alternative Implement the solution and monitor the results. Engineering Economy in Decision Making: is the dollars-and-cents side of the decisions that engineers make or recommend as they work to position a firm to be profitable in a highly competitive marketplace. Inherent to these decisions are trade-offs among different types of costs and the performance (response time, safety, weight, reliability, etc.) provided by the proposed design or problem solution. The Principles of Engineering Economy 1. 2. 3. 4. 5. 6. 7. Develop the Alternatives – Carefully define the problem! Then the choice (decision) is among alternatives. The alternatives need to be identified and then defined for subsequent analysis. Focus on the Differences – Only the differences in expected future outcomes among the alternatives are relevant to their comparison and should be considered in the decision. Use a Consistent Viewpoint – The prospective outcomes of the alternatives, economic and other, should be consistently developed from a defined viewpoint (perspective). Use a Common Unit of Measure – Using a common unit of measurement to enumerate as many of the prospective outcomes as possible will simplify the analysis of the alternatives. Consider All Relevant Criteria – Selection of a preferred alternative (decision making) requires the use of a criterion (or several criteria). Make Risk and Uncertainty Explicit – Risk and uncertainty are inherent in estimating the future outcomes of the alternatives and should be recognized in their analysis and comparison. Revisit Your Decisions – Improved decision-making results from an adaptive process; to the extent practicable, the initial projected outcomes of the selected alternative should be subsequently compared with actual results achieved. Description and Role in Decision Making The estimates and the decision usually involve four essential elements: Cash flows Times of occurrence of cash flows Interest rates for time value of money Measure of economic worth for selecting alternative INTEREST AND MONEY-TIME RELATIONSHIPS Interest – is the amount of money paid for the use of borrowed capital (borrower’s viewpoint) or the income produced by money which has been loaned (lender’s viewpoint). Example 2: Determine the exact simple interest on P 500 for the period from January 10 to October 28, 1996 at 16% interest. Where: Example 3: If P 4000 is borrowed for 75 days at 16% per annum. How much will be due at the end of 75 days? I = interest P = principal or present worth F = accumulated amount or future worth CASH-FLOW DIAGRAMS Cash-Flow Diagram – is a graphical representation of cash flows drawnon a time scale. Example 4: How long will it take for a deposit of P 1,500 to earn P 186 if invested at the simple interest rate of 7 1/3 %? Example 5: If your borrow money from your friend with a simple interest of 12%, find the present worth of P 20 000 at the end of 9 months. SIMPLE INTEREST – The interest earned bythe principal is computed atthe end of the investment period. P = principal / present worth r = simple interest rate (per year) F = P (1 + rt) Example 6: A deposit of P 110 000 was made for 31 days. The net interest after deducting 20% withholding tax is P 890.36. Find the rate of return annually. t = time in years / fraction of a year Ordinary Simple Interest – the interest is computed on the basis of one banker’s year (360 days) Seatwork: Example 1: Determine the ordinary simple interest on P 20 000 for 9 months and 10 days if the rate of interest is 12%. Exact simple interest – the interest is based on the exact number of days in a year (ordinary year = 365 days, leap year = 366 days) & 1. Determine the exact simple interests on P 100 000 for the period Jan. 15 to June 20, 2012, if interest is 15%. 2. A man buys an electric fan from a merchant that charges P 1500 at the end of 90 days. The man wishes to pay cash. What is the cash price if money is worth 10% simple interest?