When making large purchases like an air conditioning unit, the difference in price between units can...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
When making large purchases like an air conditioning unit, the difference in price between units can often deter consumers from selecting higher end, more expensive units. However, the conscious consumer should recognize that the question is not which unit is cheaper up front, but instead which unit will cost the least over the lifetime of the unit. Consider a dwelling that does not require air conditioning 25% of the year (365 days). When the dwelling does require AC, it receives heat from the surrounding environment at an average rate of Qenv = 20 kW. There are also people and appliances in the home that generate energy at an average rate of Qgen = 1 kW. a) Create a schematic of the dwelling and the air conditioning unit. Clearly identify any energy interactions between the dwelling and the surroundings, the dwelling and the AC unit, and the AC unit and the surroundings. b) If the initial cost of a particular AC unit is A and the cost of electricity is B, in cost-per-kilowatt- hour (kWh), develop an equation for the cost (C) to condition the air in the dwelling as a function of time (t), in years. To do this, you must build the conversion between years and hours into your equation. Your equation should depend only an A, B, t, COPR, and Qload, where COPR is the coefficient of performance of the AC unit and Q load is the average cooling load of the AC unit when it is operating. c) The purchase and installation cost and COPR of two different AC units is given below. If the cost of electricity is 16 cents per kWh, how many years would it take for unit 2 to "make up" for the fact that its purchase and installation cost is greater than that of unit 1? If the average lifespan of an AC unit is around 15 years, which unit is the better financial investment? Purchase and Installation Cost CQPR Unit 1 Unit 2 $5000 $7500 2.5 2.7 d) How would changing the cost of electricity alter your answer to part c? When making large purchases like an air conditioning unit, the difference in price between units can often deter consumers from selecting higher end, more expensive units. However, the conscious consumer should recognize that the question is not which unit is cheaper up front, but instead which unit will cost the least over the lifetime of the unit. Consider a dwelling that does not require air conditioning 25% of the year (365 days). When the dwelling does require AC, it receives heat from the surrounding environment at an average rate of Qenv = 20 kW. There are also people and appliances in the home that generate energy at an average rate of Qgen = 1 kW. a) Create a schematic of the dwelling and the air conditioning unit. Clearly identify any energy interactions between the dwelling and the surroundings, the dwelling and the AC unit, and the AC unit and the surroundings. b) If the initial cost of a particular AC unit is A and the cost of electricity is B, in cost-per-kilowatt- hour (kWh), develop an equation for the cost (C) to condition the air in the dwelling as a function of time (t), in years. To do this, you must build the conversion between years and hours into your equation. Your equation should depend only an A, B, t, COPR, and Qload, where COPR is the coefficient of performance of the AC unit and Q load is the average cooling load of the AC unit when it is operating. c) The purchase and installation cost and COPR of two different AC units is given below. If the cost of electricity is 16 cents per kWh, how many years would it take for unit 2 to "make up" for the fact that its purchase and installation cost is greater than that of unit 1? If the average lifespan of an AC unit is around 15 years, which unit is the better financial investment? Purchase and Installation Cost CQPR Unit 1 Unit 2 $5000 $7500 2.5 2.7 d) How would changing the cost of electricity alter your answer to part c?
Expert Answer:
Related Book For
Posted Date:
Students also viewed these mechanical engineering questions
-
Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...
-
The Crazy Eddie fraud may appear smaller and gentler than the massive billion-dollar frauds exposed in recent times, such as Bernie Madoffs Ponzi scheme, frauds in the subprime mortgage market, the...
-
Economic crises tend to occur sporadically virtually every decade and in various countries ranging from Sweden to Argentina, from Russia to Korea, and from Japan to the United States. Each crisis is...
-
The article "The Foreman's View of Quality Control" (Quality Engr., 1990: 257-280) described an investigation into the coating weights for large pipes resulting from a galvanized coating process....
-
Determine the following for a q-curve with parameters = 8 and = 20. a. The q-value having area 0.01 to its right b. q0.05
-
The 5 - \(\mathrm{kg}\) block is traveling with the speed of \(v=4 \mathrm{~m} / \mathrm{s}\) just before it strikes the 6061-T6 aluminum stepped cylinder. Determine the maximum normal stress...
-
Green Hills County received the following two contributions during a year: A developer (in exchange for exemptions to zoning restrictions) donated several acres of land that the county intended to...
-
Units produced 18,100 3,620 Direct materials cost per unit $ 7 Machine-hours per unit Production runs per quarter 4 144 $ 19 7 72 Production at the plant is automated and any labor cost is included...
-
Assume the risk-free continuously compounded interest rate is \(4 \%\) per annum. For an asset with today's price \(A(0)=\$ 100\), you are told that its expected return is \(10 \%\) per annum and...
-
Estimate the value of a share of Intel common stock using the discounted cash flow (DCF) model as of December 29, 2012; assume a discount rate (WACC) of 11%, common shares outstanding of 4,944...
-
(A) f(x) = 5xex (B) f(x) = x ln x Find f'(x) for
-
Find 2x (A) f'(x) for f(x)=- x+3 13-31 (B) y' for y t-4 d 2+3 (C) in two ways dx x
-
A survey of 45 computer technicians found that 20 like the Java language, 15 like the Python language, and 7 like both languages. How many computer technicians like neither language? Provide your...
-
Sue's goal is to have $10,000 in her savings account seven years from now. How much must she set aside at the end of each year at 4.5% compounded annually to meet this goal?
-
The total sales S (in thousands of games) of a video game t months after the game is introduced are given by S(t) = 150t (A) Find S'(t). 1+3 (B) Find S(12) and S'(12). Write a brief interpretation of...
-
Strickland Company owes $200,000 plus $18,000 of accrued interest to Moran State Bank. The debt is a 10-year, 10% note. During 2019, Strickland's business deteriorated due to a faltering regional...
-
Cleaning Service Company's Trial Balance on December 31, 2020 is as follows: Account name Debit Credit Cash 700 Supplies Pre-paid insurance Pre-paid office rent Equipment Accumulated depreciation -...
-
What are five dimensions of service quality?
-
What is the difference between ideal capacity and maximum capacity? Provide examples of a situation where (a) the two might be the same and (b) the two are different.
-
Why should service firms focus their efforts? Describe the basic focus strategies and give examples of how these work.
-
Define torsional section modulus.
-
An inverted \(T\)-beam of \(4 \mathrm{~m}\) span is simply supported at the ends. Its cross-section is 300 \(\mathrm{mm} \times 250 \mathrm{~mm} \times 10 \mathrm{~mm}\). If permissible stresses in...
-
A rolled steel joist \(400 \mathrm{~mm} \times 200 \mathrm{~mm} \times 20 \mathrm{~mm}\) is freely supported on a span of \(4 \mathrm{~m}\). The flanges are strengthened by two \(250 \mathrm{~mm}...
Study smarter with the SolutionInn App