Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 14, Problem 3A
Multiply
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Tri-County Utilities, Inc., supplies natural gas to customers in a three-county area. The company purchases natural gas from two companies: Southern Gas and Northwest Gas.
Demand forecasts for the coming winter season are as follows: Hamilton County, 400 units; Butler County, 200 units; and Clermont County, 300 units. Contracts to provide the following quantities have been written: Southern Gas, 500 units; and Northwest Gas, 400 units. Distribution costs for the counties vary, depending upon the location of the suppliers. The distribution costs per unit (in thousands of dollars)
are as follows.
From
To
Hamilton Butler
Clermont
Southern Gas
10
20
15
Northwest Gas
12
15
18
(a) Develop a network representation of this problem. (Submit a file with a maximum size of 1 MB.)
Choose File No file chosen
Assignment 3 graph.docx
Score: 1 out of 1
Comment:
(b) Develop a linear programming model that can be used to determine the plan that will minimize total distribution costs (in thousands of…
Use the method of undetermined coefficients to solve the given nonhomogeneous system.
dx
dt
=
2x + 3y − 8
dy
dt
=
−x − 2y + 6
X(t) =
As discussed in Section 8.3, the Markowitz model uses the variance of the portfolio as the measure of risk. However, variance includes deviations both below and above the mean return. Semivariance includes only deviations below the mean and is considered by many to be a better measure of risk.
(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 Services model are equally likely to occur. Hint: Modify model (8.10)–(8.19). Define a variable ds for each scenario and let
ds ≥ R − Rs
with
ds ≥ 0.
Then make the objective function:
Min
1
5
5
s = 1
ds2.
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…
Chapter 14 Solutions
Mathematics For Machine Technology
Ch. 14 - Subtract 7516278 .Ch. 14 - Multiply 7238 . Express the result as a mixed...Ch. 14 - Multiply 1.7022.35 .Ch. 14 - Use Figure 14-5 to answer Exercises 4 through 6....Ch. 14 - Use Figure 14-5 to answer Exercises 4 through 6....Ch. 14 - Use Figure 14-5 to answer Exercises 4 through 6....Ch. 14 - Raise the following numbers to the indicated...Ch. 14 - Raise the following numbers to the indicated...Ch. 14 - Raise the following numbers to the indicated...Ch. 14 - Raise the following numbers to the indicated...
Ch. 14 - Raise the following numbers to the indicated...Ch. 14 - Raise the following numbers to the indicated...Ch. 14 - Raise the following numbers to the indicated...Ch. 14 - Raise the following numbers to the indicated...Ch. 14 - Raise the following numbers to the indicated...Ch. 14 - In the following table, the lengths of the sides...Ch. 14 - In the following table, the lengths of the sides...Ch. 14 - In the following table, the lengths of the sides...Ch. 14 - In the following table, the lengths of the sides...Ch. 14 - In the following table, the lengths of the sides...Ch. 14 - In the following table, the lengths of the sides...Ch. 14 - In the following table, the lengths of the sides...Ch. 14 - In the following table, the lengths of the sides...Ch. 14 - In the following table, the lengths of the sides...Ch. 14 - In the following table, the lengths of the sides...Ch. 14 - In the following table, the lengths of the sides...Ch. 14 - In the following table, the lengths of the sides...Ch. 14 - In the following table, the lengths of the sides...Ch. 14 - In the following table, the lengths of the sides...Ch. 14 - In the following table, the lengths of the sides...Ch. 14 - In the following table, the lengths of the sides...Ch. 14 - In the following table, the lengths of the sides...Ch. 14 - In the following table, the lengths of the sides...Ch. 14 - In the following table, the lengths of the sides...Ch. 14 - In the following table, the lengths of the sides...Ch. 14 - In the following table, the radii of circles are...Ch. 14 - In the following table, the radii of circles are...Ch. 14 - In the following table, the radii of circles are...Ch. 14 - In the following table, the radii of circles are...Ch. 14 - In the following table, the radii of circles are...Ch. 14 - In the following table, the diameters of spheres...Ch. 14 - In the following table, the diameters of spheres...Ch. 14 - In the following table, the diameters of spheres...Ch. 14 - In the following table, the diameters of spheres...Ch. 14 - In the following table, the diameters of spheres...Ch. 14 - In the following table, the radii and heights of...Ch. 14 - In the following table, the radii and heights of...Ch. 14 - In the following table, the radii and heights of...Ch. 14 - In the following table, the radii and heights of...Ch. 14 - In the following table, the radii and heights of...Ch. 14 - In the following table, the diameters and heights...Ch. 14 - In the following table, the diameters and heights...Ch. 14 - In the following table, the diameters and heights...Ch. 14 - In the following table, the diameters and heights...Ch. 14 - Prob. 55ACh. 14 - Prob. 56ACh. 14 - Prob. 57ACh. 14 - Find the area of this plate. All dimensions are in...Ch. 14 - Find the metal volume of this bushing. All...Ch. 14 - Find the volume of this pin. All dimensions are in...Ch. 14 - Prob. 61A
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- For each month of the year, Taylor collected the average high temperatures in Jackson, Mississippi. He used the data to create the histogram shown. Which set of data did he use to create the histogram? A 55, 60, 64, 72, 73, 75, 77, 81, 83, 91, 91, 92\ 55,\ 60,\ 64,\ 72,\ 73,\ 75,\ 77,\ 81,\ 83,\ 91,\ 91,\ 92 55, 60, 64, 72, 73, 75, 77, 81, 83, 91, 91, 92 B 55, 57, 60, 65, 70, 71, 78, 79, 85, 86, 88, 91\ 55,\ 57,\ 60,\ 65,\ 70,\ 71,\ 78,\ 79,\ 85,\ 86,\ 88,\ 91 55, 57, 60, 65, 70, 71, 78, 79, 85, 86, 88, 91 C 55, 60, 63, 64, 65, 71, 83, 87, 88, 88, 89, 93\ 55,\ 60,\ 63,\ 64,\ 65,\ 71,\ 83,\ 87,\ 88,\ 88,\ 89,\ 93 55, 60, 63, 64, 65, 71, 83, 87, 88, 88, 89, 93 D 55, 58, 60, 66, 68, 75, 77, 82, 86, 89, 91, 91\ 55,\ 58,\ 60,\ 66,\ 68,\ 75,\ 77,\ 82,\ 86,\ 89,\ 91,\ 91 55, 58, 60, 66, 68, 75, 77, 82, 86, 89, 91, 91arrow_forward3. Consider the polynomial equation 6-iz+7z2-iz³ +z = 0 for which the roots are 3i, -2i, -i, and i. 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