Challenging Engineering Problems with Detailed Answers
Based on the following information, find the Net Present Value of the net annual income stream, and the Lifetime Cost, for a site with two possible turbine choices. Which turbine provides the best lifetime cost? Site characteristics: H=10m, Q=3m/s, g=9.81m/s, p=1000kg/m Financial variables: r=4%, sale price of generated electricity=8p/kWh, project lifetime n=20 years Turbine choice 1: 300kW (maximum for the site conditions), efficiency n=90%, operates all year round, capital cost 0.35m for turbine and balance of plant, installation cost 0.1m. Annual operation and maintenance cost 1% of turbine and balance of plant capital cost. Turbine choice 2: 200kW (less than the maximum given the site conditions), efficiency n=94%, operates all year round, capital cost 0.18m for turbine and balance of plant, installation cost 0.03m. Annual operation and maintenance cost 1.5% of turbine and balance of plant capital cost.
The management of CDC Construction Pioneers have decided to build 900 new apartments in the Kasoa area due to the influx of immigrant workers into the country. Two Architectural Companies have provided building plans and technical schematics for the project. Management are happy with the proposals of both Standard apartment and Deluxe apartment. After investigating the steps involved in construction, management determined that each apartment complex built will require some resources. Management analysed each of the bids and concluded that if the plans of Standard apartment are built, it requires 0.7 days in foundation works, 0.5 days in the masonry, 1 day in finishing, and 0.1 days in painting works. Deluxe apartment will require 1 day in foundation works, 0.83 days in the masonry, 0.67 days in finishing, and 0.25 days in the painting works. Management estimate that, 630 days for foundation works, 600 days for masonry, 708 days for finishing and 135 days for 11 painting works will be available to build the apartments. The company accountant assigned all relevant variable costs and arrived at a rent that will result in a daily profit contribution of Gh 10 for every Standard apartment and Gh 9 for every Deluxe apartment built. Management wants to know how many Standard apartments and Deluxe apartments to construct a) Express the decision variables for this problem and formulate a linear programming model for this problem. b) The model was solved using solver and part of the results is provided in the Table below. Use it to answer the questions that follow Variable Cells Final Reduced Objecti ve Allowabl e Allowabl e Cell Name Value Cost Coeffici ent Increase Decrease $B$ 9 Std. apt 539.9999 842 0 10 3.499999 325 3.7 $B$ 10 Deluxe apt 252.0000 11 0 9 5.285714 286 2.333333 Constraints Final Shadow Constra Allowabl Allowabl Major Topic Sensitivity Analysis Blooms Designation EV Score 7 12 int e e Cell Name Value Price R.H. Side Increase Decrease $E$ 4 Foundati on Usage 630 4.374999 566 630 52.36363 159 134.4 $E$ 5 Masonry Usage 479.9999 929 0 600 1E+30 120.0000 071 $E$ 6 Finishing Usage 708 6.937500 304 708 192 127.9999 86 $E$ 7 Painting Usage 117.0000 012 0 135 1E+30 17.99999 882 (i) What is the optimal solution to this problem? (ii) What is the corresponding value of the objective function? (iii) Why does the reduced cost column contain zeros? C) (i) If the unit contribution margin on daily Delux apartment was GH 11 instead of GH 9, how would that affect the optimal solution (iii) If management of CDC could obtain additional resources, which one would you advice to be of most value to them and why? (iv) Which constraints is/are binding Major Topic Sensitivity Analysis Blooms Designation AN Score 6 Major Topic Blooms Designation
Sustainable development (SD) is the blueprint to ensure a better future for all. The economy, society and the environment arethe predominant pillars of SD. There is an inherent relation between socio-economic development and the environment. Theactivities involved in such development can bring both adverse and favorable consequence to the environment. The journey ofmankind to an elevated socio-economic condition significantly depends on the industrial revolution; whichever depend welland truly on the generation and consumption of energy. Hence, extensive use of fossil fuels i.e. oil, gas, coal etc. to produceenergy is the principal reason behind the emission of greenhouse gas, trace metals and similar type of pollutants. The by-product of fossil-fuel combustion is a significant threat to the environment which later brings a harmful effect on humanhealth. As a developing country, Bangladesh is not an exception in this regard. It is quite obvious that prolongation of suchenergy generation method certainly raises a conflict to the concept of SD. Further, it creates a confrontment situationconcerning the projected timeline. Henceforth, a transition to renewable energy may mitigate all these adverse effects within ashort time. Generating energy from clean and renewable source can significantly reduce carbon footprint and global warming,and it has numerous environmental and health benefits. Besides, using renewable sources for energy generation allow to builda reliable and affordable energy source; that lessen reliance on foreign energy sources as well. Above all, to ensure thesustainability of the three pillars of Sustainable Development and to safeguard the environment for a better future; there is noalternative to using renewable energy for energy generation.Based on the concept of Sustainable Engineering practice, identify, discuss and analyze following issues from thegiven case:(a) How many SDG/s can you relate in the above case? (Hint: Indicate the SDG that can be / should be achieved or targetedfor the design of a sustainable power generation system for a country)(b) Discuss the importance of following standard code of ethics for the attainment of SDGs ? (Hint: Discuss how the Code ofethics help to achieve SDG in a country)please answer in short