2. Home building.When you are building a new home it is important to have an idea from the very start howmuch it may cost. The price varies dramatically depending on the size and the design of theproperty. Your task is to analyse the data from past construction works in order to estimatethe contribution of different components. The table below show a part of construction costsbreakdown (in thousand dollars) for three houses: the first has four bedrooms and threebathrooms, the second has two bedrooms and two bathrooms, and the third has two bedroomsand one bathroom.House4beds & 3baths2beds & 2baths2beds & 1bathsPlumbing Electricity141511109Flooring1076(a) Find real constants Pbed, Pbath, Po such that P(x, y).= Pbed x + Pbath y + Po equalsthe plumbing costs given in the table, where x is the number of bedrooms and y isthe number of bathrooms. Similarly, find functions E(x, y) = ebed x + ebath • Y + Coand F(x, y) fbed x + fbath · y + fo describing the costs for electricity and flooring,respectively.= (b) In general, for a certain construction component, suppose the costs equal w₁ for thefirst house, w₂ for the second house, and w3 for the third house. Find formulas for Wbed,Whath and wo such that W(x, y) = Whed x + Wbath · y +wo gives values w₁, W2, W3 forthese three houses.(c) Find a matrix A that W(x, y)=AW10·0W2W3where "." is the dot product of vectors.(d) The matrix A from part (c) should be the inverse of B =4312 2 1 Explain why one21 1could expect this relation even without computing entries of A.(e) Sketch the region of all ordered pairs of real numbers (x, y) such that 1 ≤ y ≤ x andP(x, y) + E(x, y) + F(x, y) ≤ 30. List all points with integer coordinates lying in thisregion.

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Answered: When you are building a new home it is…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Espresso Express operates a number of espresso coffee stands in busy suburban malls. The fixed weekly expense of a coffee stand is $1,400 and the variable cost per cup of coffee served is $0.61. Required: 1. Fill in the following table with your estimates of the company's total cost and average cost per cup of coffee at the indicated levels of activity. 2. Does the average cost per cup of coffee served increase, decrease, or remain the same as the number of cups of coffee served in a week increases?
Describe the results of your two graphs as they compare to the movement of demand. Be specific. Choosing between the three-period and the five-period forecasts, which length of averaging would you use as a purchasing manager of Greenfield’s Tannery? Be sure to factor in the cumulative forecast errors in your answer. Also, make sure you include some rationale about why you are picking the method you do for this particular business. So for example, does picking one method over the other have any impact on how much inventory they will have on hand to meet customer demand? What happens when the demand drops? Which method better supports that?
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Netflix made headlines in September 2011 when it split its streaming video service and its DVD by-mail service into two companies. This decision was based on projections that streaming videos will replace DVDs in the future. In this problem, you will explore these projections. Numbers below are close to the correct values, but vary to allow more practice with this idea. Total DVD and Blu-ray disc sales in 2009 were $8.72 billion. For the purposes of this problem, you will combine DVD and Blue-ray disk sales into one category of DVD sales. A study by In-Stat predicted that "physical disc sales will decline by $4.7 billion by 2014," and that "streaming, on the other hand, should grow from its current $2.1 billion to $6.3 billion over the same time period (2009–2014)." What is the slope, including units, of the model for streaming videos?
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Refer to the production possibilities curves for Chairland and Tableland. Chairland can produce 36 chairs per day and no tables, or 18 tables table per day and no chairs. Tableland can produce 40 chairs per day and no tables, or 40 tables per day and no chairs. If the two countries split the difference between the buyer's willingness to pay for tables and the seller's willingness to accept, in terms of the number of chairs for 1 table, the terms of trade will be . (Enter your response rounded to one decimal place.) Country Quantity per day Opportunity cost of chairs Opportuity cost of tables Tableland 40 chairs, 40 tables 1 table 1 chair Chairland 36 chairs, 18 tables 1/2 table 2 chairs
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The new city water company that you have researched charges homeowners based on how much water they use in thousands of gallons. The company progressively charges at a higher rate the more water that is used. Cost of Water Bill (dollars) 240 230 220 210 190 180 170 160 110 Water Usage (in thousands of gallons) 11. Based on the graph above, how much does the city charge when a homeowner uses the following number of gallons of water: a) 1700 gallons of water b) 2000 gallons of water c) 7000 gallons of water 12. Finish filling in the following piece-wise equation below that describes the chart based on the graph 50 if 0 < x <2 5x+50 y = if 6≤x≤8 30x 140

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