Prealgebra (6th Edition)
6th Edition
ISBN: 9780134179018
Author: Jamie Blair, John Tobey Jr., Jeffrey Slater, Jenny Crawford
Publisher: PEARSON
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Chapter B, Problem 1E
Fill in the blanks.
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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 B Solutions
Prealgebra (6th Edition)
Ch. B - Fill in the blanks. 1mi=ftCh. B - Fill in the blanks. 1ft=in.Ch. B - Prob. 3ECh. B - Fill in the blanks. 1qt=galCh. B - Prob. 5ECh. B - Prob. 6ECh. B - Fill in the blanks. 60sec=minCh. B - Prob. 8ECh. B - Prob. 9ECh. B - Prob. 10E
Ch. B - Fill in the blanks. 2gal=qtCh. B - Prob. 12ECh. B - Prob. 13ECh. B - Fill in the blanks. 9ft=ydCh. B - Fill in the blanks. 2mi=ftCh. B - Prob. 16ECh. B - Fill in the blanks. 120sec=minCh. B - Prob. 18ECh. B - Prob. 19ECh. B - Fill in the blanks. 4pt=qtCh. B - Prob. 21ECh. B - Prob. 22ECh. B - Prob. 23ECh. B - Prob. 24ECh. B - Perform the operation indicated. 5ft4in.+4ft3in.Ch. B - Prob. 26ECh. B - Perform the operation indicated. 12ft7in.+3ft8in.Ch. B - Prob. 28ECh. B - Perform the operation indicated. 26yd1ft9yd2ftCh. B - Perform the operation indicated. 14yd6ft6yd2ftCh. B - While golfing, Todd made birdie putts of 4 ft 3...Ch. B - Jessica worked out at the health spa for 2 hr 20...Ch. B - Natalie bought a 1-pint can of tomato sauce. She...Ch. B - Joel has 1 quart of milk. If he uses 1 pint to...Ch. B - It takes Isaac 2 hours to detail a car. Sean can...Ch. B - A 3-pound can of Joes Chili costs the same price...Ch. B - Write the abbreviation for each metric unit....Ch. B - Prob. 38ECh. B - Write the abbreviation for each metric unit....Ch. B - Prob. 40ECh. B - Write the abbreviation for each metric unit....Ch. B - Prob. 42ECh. B - Prob. 43ECh. B - Place the appropriate symbol, or, in the blanks....Ch. B - Prob. 45ECh. B - Place the appropriate symbol, or, in the blanks....Ch. B - Prob. 47ECh. B - Place the appropriate symbol, or, in the blanks....Ch. B - Which of the following represents a unit that is...Ch. B - Which of the following represents a unit that is...Ch. B - Which of the following represents a unit that is...Ch. B - Which of the following represents a unit that is...Ch. B - Place the appropriate symbol, or, in the blanks....Ch. B - Place the appropriate symbol, or, in the blanks....Ch. B - Prob. 55ECh. B - Place the appropriate symbol, or, in the blanks....Ch. B - Place the appropriate symbol, or, in the blanks....Ch. B - Prob. 58ECh. B - Fill in the blanks. The _______ is the basic...Ch. B - Prob. 60ECh. B - Prob. 61ECh. B - Fill in the blanks. The gram is the basic metric...Ch. B - Prob. 63ECh. B - Lisa measured the width of a doorway. Choose the...Ch. B - Choose the unit of measure that best completes the...Ch. B - Choose the unit of measure that best completes the...Ch. B - Use the figure to the right for exercises 67 and...Ch. B - Use the figure to the right for exercises 67 and...Ch. B - Use the following information to answer exercises...Ch. B - Use the following information to answer exercises...
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