Elementary Technical Mathematics
Elementary Technical Mathematics
11th Edition
ISBN: 9781285199191
Author: Dale Ewen, C. Robert Nelson
Publisher: Cengage Learning
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Chapter 8.3, Problem 3E
To determine

To calculate: The slope of the line if the line passes through the pair of points (2,1) and (3,5).

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(a) Develop a model that minimizes semivariance for the Hauck Financial data given in the file HauckData with a required return of 10%. Assume that the five planning scenarios in the Hauck Financial rvices model are equally likely to occur. Hint: Modify model (8.10)-(8.19). Define a variable d, for each scenario and let d₂ > R - R¸ with d ≥ 0. Then make the objective function: Min Let FS = proportion of portfolio invested in the foreign stock mutual fund IB = proportion of portfolio invested in the intermediate-term bond fund LG = proportion of portfolio invested in the large-cap growth fund LV = proportion of portfolio invested in the large-cap value fund SG = proportion of portfolio invested in the small-cap growth fund SV = proportion of portfolio invested in the small-cap value fund R = the expected return of the portfolio R = the return of the portfolio in years. Min s.t. R₁ R₂ = R₁ R R5 = FS + IB + LG + LV + SG + SV = R₂ R d₁ =R- d₂z R- d₂ ZR- d₁R- d≥R- R = FS, IB, LG, LV, SG, SV…
The Martin-Beck Company operates a plant in St. Louis with an annual capacity of 30,000 units. Product is shipped to regional distribution centers located in Boston, Atlanta, and Houston. Because of an anticipated increase in demand, Martin-Beck plans to increase capacity by constructing a new plant in one or more of the following cities: Detroit, Toledo, Denver, or Kansas. The following is a linear program used to determine which cities Martin-Beck should construct a plant in. Let y₁ = 1 if a plant is constructed in Detroit; 0 if not y₂ = 1 if a plant is constructed in Toledo; 0 if not y₂ = 1 if a plant is constructed in Denver; 0 if not y = 1 if a plant is constructed in Kansas City; 0 if not. The variables representing the amount shipped from each plant site to each distribution center are defined just as for a transportation problem. *,, = the units shipped in thousands from plant i to distribution center j i = 1 (Detroit), 2 (Toledo), 3 (Denver), 4 (Kansas City), 5 (St.Louis) and…
Consider the following mixed-integer linear program. Max     3x1  +  4x2 s.t.   4x1  +  7x2  ≤  28   8x1  +  5x2  ≤  40 x1, x2 ≥ and x1 integer (a) Graph the constraints for this problem. Indicate on your graph all feasible mixed-integer solutions. On the coordinate plane the horizontal axis is labeled x1 and the vertical axis is labeled x2. A region bounded by a series of connected line segments, and several horizontal lines are on the graph. The series of line segments connect the approximate points (0, 4), (3.889, 1.778), and (5, 0). The region is above the horizontal axis, to the right of the vertical axis, and below the line segments. At each integer value between 0 and 4 on the vertical axis, a horizontal line extends out from the vertical axis to the series of connect line segments.   On the coordinate plane the horizontal axis is labeled x1 and the vertical axis is labeled x2. A region bounded by a series of connected line segments, and several…

Chapter 8 Solutions

Elementary Technical Mathematics

Ch. 8.1 - Complete the three ordered-pair solutions of each...Ch. 8.1 - Prob. 12ECh. 8.1 - Prob. 13ECh. 8.1 - Prob. 14ECh. 8.1 - Complete the three ordered-pair solutions of each...Ch. 8.1 - Complete the three ordered-pair solutions of each...Ch. 8.1 - Prob. 17ECh. 8.1 - Prob. 18ECh. 8.1 - Complete the three ordered-pair solutions of each...Ch. 8.1 - Prob. 20ECh. 8.1 - Prob. 21ECh. 8.1 - Prob. 22ECh. 8.1 - Prob. 23ECh. 8.1 - Prob. 24ECh. 8.1 - Prob. 25ECh. 8.1 - Solve for y in terms of x: 4x+5y=10Ch. 8.1 - Prob. 27ECh. 8.1 - Solve for y in terms of x: 2x+2y=5Ch. 8.1 - Prob. 29ECh. 8.1 - Prob. 30ECh. 8.1 - Prob. 31ECh. 8.1 - Prob. 32ECh. 8.1 - Prob. 33ECh. 8.1 - Prob. 34ECh. 8.1 - Prob. 35ECh. 8.1 - Prob. 36ECh. 8.1 - Prob. 37ECh. 8.1 - Write the ordered pair corresponding to each point...Ch. 8.1 - Prob. 39ECh. 8.1 - Prob. 40ECh. 8.1 - Prob. 41ECh. 8.1 - Prob. 42ECh. 8.1 - Prob. 43ECh. 8.1 - Prob. 44ECh. 8.1 - Prob. 45ECh. 8.1 - Write the ordered pair corresponding to each point...Ch. 8.1 - Prob. 47ECh. 8.1 - Prob. 48ECh. 8.1 - Prob. 49ECh. 8.1 - Prob. 50ECh. 8.1 - Prob. 51ECh. 8.1 - Prob. 52ECh. 8.1 - Prob. 53ECh. 8.1 - Plot each point in the number plane. Label each...Ch. 8.1 - Plot each point in the number plane. Label each...Ch. 8.1 - Plot each point in the number plane. Label each...Ch. 8.1 - Plot each point in the number plane. Label each...Ch. 8.1 - Plot each point in the number plane. Label each...Ch. 8.1 - Plot each point in the number plane. Label each...Ch. 8.1 - Plot each point in the number plane. Label each...Ch. 8.1 - Plot each point in the number plane. Label each...Ch. 8.1 - Plot each point in the number plane. Label each...Ch. 8.1 - Prob. 63ECh. 8.1 - Prob. 64ECh. 8.1 - Prob. 65ECh. 8.1 - Prob. 66ECh. 8.2 - Draw the graph of each equation: x+y=7Ch. 8.2 - Prob. 2ECh. 8.2 - Prob. 3ECh. 8.2 - Prob. 4ECh. 8.2 - Prob. 5ECh. 8.2 - Prob. 6ECh. 8.2 - Prob. 7ECh. 8.2 - Draw the graph of each equation: 2x+3y=9Ch. 8.2 - Prob. 9ECh. 8.2 - Prob. 10ECh. 8.2 - Draw the graph of each equation: 5x+4y=20Ch. 8.2 - Prob. 12ECh. 8.2 - Prob. 13ECh. 8.2 - Prob. 14ECh. 8.2 - Prob. 15ECh. 8.2 - Prob. 16ECh. 8.2 - Draw the graph of each equation: 3x+5y=11Ch. 8.2 - Prob. 18ECh. 8.2 - Prob. 19ECh. 8.2 - Prob. 20ECh. 8.2 - Draw the graph of each equation: y=3Ch. 8.2 - Prob. 22ECh. 8.2 - Prob. 23ECh. 8.2 - Prob. 24ECh. 8.2 - Prob. 25ECh. 8.2 - Prob. 26ECh. 8.2 - Prob. 27ECh. 8.2 - Prob. 28ECh. 8.2 - Prob. 29ECh. 8.2 - Prob. 30ECh. 8.2 - Identify the independent and dependent variables...Ch. 8.2 - Prob. 32ECh. 8.2 - Prob. 33ECh. 8.2 - Prob. 34ECh. 8.2 - Prob. 35ECh. 8.2 - Prob. 36ECh. 8.2 - Prob. 37ECh. 8.2 - Prob. 38ECh. 8.2 - Prob. 39ECh. 8.2 - Identify the independent and dependent variables...Ch. 8.2 - Prob. 41ECh. 8.2 - The voltage, v (in mV), in an electrical circuit...Ch. 8.2 - The resistance, R, in an electrical circuit varies...Ch. 8.2 - Prob. 44ECh. 8.2 - The voltage, v, in an electrical circuit is given...Ch. 8.2 - Prob. 46ECh. 8.3 - Find the slope of the passing through each pair of...Ch. 8.3 - Prob. 2ECh. 8.3 - Prob. 3ECh. 8.3 - Prob. 4ECh. 8.3 - Prob. 5ECh. 8.3 - Find the slope of the passing through each pair of...Ch. 8.3 - Prob. 7ECh. 8.3 - Prob. 8ECh. 8.3 - Prob. 9ECh. 8.3 - Prob. 10ECh. 8.3 - Prob. 11ECh. 8.3 - Prob. 12ECh. 8.3 - Prob. 13ECh. 8.3 - Prob. 14ECh. 8.3 - Prob. 15ECh. 8.3 - Prob. 16ECh. 8.3 - Prob. 17ECh. 8.3 - Prob. 18ECh. 8.3 - Find the slope of each line: y=6x+2Ch. 8.3 - Prob. 20ECh. 8.3 - Find the slope of each line: y=5x7Ch. 8.3 - Prob. 22ECh. 8.3 - Prob. 23ECh. 8.3 - Prob. 24ECh. 8.3 - Prob. 25ECh. 8.3 - Prob. 26ECh. 8.3 - Prob. 27ECh. 8.3 - Prob. 28ECh. 8.3 - Prob. 29ECh. 8.3 - Prob. 30ECh. 8.3 - Determine whether the lines given by the equations...Ch. 8.3 - Determine whether the lines given by the equations...Ch. 8.3 - Prob. 33ECh. 8.3 - Prob. 34ECh. 8.3 - Prob. 35ECh. 8.3 - Prob. 36ECh. 8.3 - Determine whether the lines given by the equations...Ch. 8.3 - Determine whether the lines given by the equations...Ch. 8.3 - Determine whether the lines given by the equations...Ch. 8.3 - Determine whether the lines given by the equations...Ch. 8.4 - Draw the graph of each line with the given slope...Ch. 8.4 - Draw the graph of each line with the given slope...Ch. 8.4 - Prob. 3ECh. 8.4 - Prob. 4ECh. 8.4 - Prob. 5ECh. 8.4 - Prob. 6ECh. 8.4 - Prob. 7ECh. 8.4 - Prob. 8ECh. 8.4 - Prob. 9ECh. 8.4 - Prob. 10ECh. 8.4 - Prob. 11ECh. 8.4 - Prob. 12ECh. 8.4 - Prob. 13ECh. 8.4 - Prob. 14ECh. 8.4 - Prob. 15ECh. 8.4 - Prob. 16ECh. 8.4 - Prob. 17ECh. 8.4 - Draw the graph of each equation using the slope...Ch. 8.4 - Prob. 19ECh. 8.4 - Draw the graph of each equation using the slope...Ch. 8.4 - Prob. 21ECh. 8.4 - Prob. 22ECh. 8.4 - Prob. 23ECh. 8.4 - Prob. 24ECh. 8.4 - Prob. 25ECh. 8.4 - Find the equation of the line with given slope and...Ch. 8.4 - Prob. 27ECh. 8.4 - Find the equation of the line with given slope and...Ch. 8.4 - Prob. 29ECh. 8.4 - Prob. 30ECh. 8.4 - Prob. 31ECh. 8.4 - Prob. 32ECh. 8.4 - Prob. 33ECh. 8.4 - Prob. 34ECh. 8.4 - Prob. 35ECh. 8.4 - Prob. 36ECh. 8.4 - Prob. 37ECh. 8.4 - Draw the graph of the line through the given point...Ch. 8.4 - Draw the graph of the line through the given point...Ch. 8.4 - Prob. 40ECh. 8.4 - Prob. 41ECh. 8.4 - Prob. 42ECh. 8.4 - Prob. 43ECh. 8.4 - Prob. 44ECh. 8.4 - Find the equation of the line through the given...Ch. 8.4 - Find the equation of the line through the given...Ch. 8.4 - Prob. 47ECh. 8.4 - Prob. 48ECh. 8.4 - Prob. 49ECh. 8.4 - Prob. 50ECh. 8.4 - Prob. 51ECh. 8.4 - Prob. 52ECh. 8.4 - Prob. 53ECh. 8.4 - Prob. 54ECh. 8.4 - Prob. 55ECh. 8.4 - Prob. 56ECh. 8.4 - Prob. 57ECh. 8.4 - Find the equation of the line through the given...Ch. 8.4 - Find the equation of the line through the given...Ch. 8.4 - Prob. 60ECh. 8 - Prob. 1RCh. 8 - Complete the ordered-pair solution of each...Ch. 8 - Solve for y: 6x+y=15.Ch. 8 - Solve For y:3x5y=10.Ch. 8 - Write the ordered pair corresponding to each point...Ch. 8 - Write the ordered pair corresponding to each point...Ch. 8 - Write the ordered pair corresponding to each point...Ch. 8 - Write the ordered pair corresponding to each point...Ch. 8 - Plot each point in the number plane. Label each...Ch. 8 - Prob. 10RCh. 8 - Prob. 11RCh. 8 - Prob. 12RCh. 8 - Draw the graph of each equation: x+y=8Ch. 8 - Prob. 14RCh. 8 - Draw the graph of each equation: 3x+6y=12Ch. 8 - Draw the graph of each equation: 4x5y=15Ch. 8 - Prob. 17RCh. 8 - Prob. 18RCh. 8 - Draw the graph of each equation: x=6Ch. 8 - Draw the graph of each equation: y=7Ch. 8 - Find the slope of the line passing through each...Ch. 8 - Find the slope of the line passing through each...Ch. 8 - Prob. 23RCh. 8 - Prob. 24RCh. 8 - Prob. 25RCh. 8 - Prob. 26RCh. 8 - Prob. 27RCh. 8 - Prob. 28RCh. 8 - Prob. 29RCh. 8 - Prob. 30RCh. 8 - Prob. 31RCh. 8 - Prob. 32RCh. 8 - Prob. 33RCh. 8 - Prob. 34RCh. 8 - Prob. 35RCh. 8 - Prob. 36RCh. 8 - Prob. 37RCh. 8 - Prob. 38RCh. 8 - Find the equation of the line through the given...Ch. 8 - Find the equation of the line through the given...Ch. 8 - Prob. 41RCh. 8 - Find the equation of the line through the given...Ch. 8 - Given the equation 3x4y=24, complete each ordered...Ch. 8 - Given the equation 3x4y=24, complete each ordered...Ch. 8 - Prob. 3TCh. 8 - Write the ordered pair corresponding to each point...Ch. 8 - Prob. 5TCh. 8 - Prob. 6TCh. 8 - Prob. 7TCh. 8 - Prob. 8TCh. 8 - Prob. 9TCh. 8 - Find the slope of each line: y=3x2Ch. 8 - Prob. 11TCh. 8 - Prob. 12TCh. 8 - Prob. 13TCh. 8 - Prob. 14TCh. 8 - Prob. 15TCh. 8 - Draw the graph of the line y=12x+4, using its...Ch. 8 - Prob. 1CRCh. 8 - Prob. 2CRCh. 8 - Prob. 3CRCh. 8 - Prob. 4CRCh. 8 - Prob. 5CRCh. 8 - Prob. 6CRCh. 8 - Prob. 7CRCh. 8 - Read the measurement shown on the metric...Ch. 8 - Prob. 9CRCh. 8 - Prob. 10CRCh. 8 - Prob. 11CRCh. 8 - Prob. 12CRCh. 8 - Prob. 13CRCh. 8 - Solve: 2x3+15=x423Ch. 8 - Prob. 15CRCh. 8 - Prob. 16CRCh. 8 - Prob. 17CRCh. 8 - Prob. 18CRCh. 8 - Prob. 19CRCh. 8 - Prob. 20CRCh. 8 - Prob. 21CRCh. 8 - Prob. 22CRCh. 8 - Prob. 23CRCh. 8 - Prob. 24CRCh. 8 - Prob. 25CRCh. 8 - Prob. 26CRCh. 8 - Prob. 27CRCh. 8 - Prob. 28CRCh. 8 - Prob. 29CRCh. 8 - Determine whether the graphs of 2x3y=6 and 3x+5y=7...
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