Contemporary Mathematics for Business & Consumers
8th Edition
ISBN: 9781305585447
Author: Robert Brechner, Geroge Bergeman
Publisher: Cengage Learning
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Chapter 21, Problem 14CR
To determine
To fill: The statement, “A(n) _____ is a special type of bar chart without space between the bars that is used to display the data from a frequency distribution” with the appropriate word.
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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
=
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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
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Chapter 21 Solutions
Contemporary Mathematics for Business & Consumers
Ch. 21.I - Use Table 21-1 to answer the following questions...Ch. 21.I - Use Exhibits 21-1 and 21-2 to answer the following...Ch. 21.I - Prob. 3TIECh. 21.I - Prob. 4TIECh. 21.I - Prob. 5TIECh. 21.I - Prob. 6TIECh. 21.I - Prob. 7TIECh. 21.I - Prob. 8TIECh. 21.I - Prob. 9TIECh. 21.I - Prob. 10TIE
Ch. 21.I - Prob. 1RECh. 21.I - TABLE 21-1 Magnum Enterprises Six-Month Sales...Ch. 21.I - Prob. 3RECh. 21.I - Prob. 4RECh. 21.I - TABLE 21-1 Magnum Enterprises Six-Month Sales...Ch. 21.I - Prob. 6RECh. 21.I - Prob. 7RECh. 21.I - BUSINESS DECISION: CHOOSING A CHART
8. You have...Ch. 21.II - Prob. 11TIECh. 21.II - Prob. 12TIECh. 21.II - Prob. 13TIECh. 21.II - Prob. 14TIECh. 21.II - Prob. 15TIECh. 21.II - Prob. 1RECh. 21.II - Prob. 2RECh. 21.II - Prob. 3RECh. 21.II - Prob. 4RECh. 21.II - Prob. 5RECh. 21.II - Prob. 6RECh. 21.II - Prob. 7RECh. 21.II - Prob. 8RECh. 21.II - Prob. 9RECh. 21.II - Prob. 10RECh. 21.II - Determine the mode of the following sets of...Ch. 21.II - Prob. 12RECh. 21.II - Prob. 13RECh. 21.II - Prob. 14RECh. 21.II - Prob. 15RECh. 21.II - Prob. 16RECh. 21.II - Prob. 17RECh. 21.II - The following numbers represent the gallons of...Ch. 21.II - You are the owner of The Dependable Delivery...Ch. 21.II - Prob. 20RECh. 21.III - Prob. 17TIECh. 21.III - Prob. 18TIECh. 21.III - Prob. 1RECh. 21.III - You are the sales manager of the Esquire...Ch. 21.III - Prob. 3RECh. 21.III - BUSINESS DECISION: RELATIVE FREQUENCY...Ch. 21 - 1. The systematic process of collecting,...Ch. 21 - 2. Statistical procedures that deal with the...Ch. 21 - A collection of related data arranged for ease of...Ch. 21 - Prob. 4CRCh. 21 - 5. The horizontal axis of a line chart is known as...Ch. 21 - Prob. 6CRCh. 21 - To construct a pie chart, we multiply each...Ch. 21 - Prob. 8CRCh. 21 - 9. The _______ is the midpoint value of a set of...Ch. 21 - Prob. 10CRCh. 21 - Prob. 11CRCh. 21 - Prob. 12CRCh. 21 - Prob. 13CRCh. 21 - Prob. 14CRCh. 21 - 1. The following data represent the monthly sales...Ch. 21 - Prob. 2ATCh. 21 - Prob. 3ATCh. 21 - You have just been hired as the quality control...Ch. 21 - 5. You are the human resource director for Apollo...
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- Calculus lll May I please have the blank lines completed, and final statement defined as a result? Thank you for the support!arrow_forwardFor 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_forwardIn this problem, we consider a Brownian motion (W+) t≥0. We consider a stock model (St)t>0 given (under the measure P) by d.St 0.03 St dt + 0.2 St dwt, with So 2. We assume that the interest rate is r = 0.06. The purpose of this problem is to price an option on this stock (which we name cubic put). This option is European-type, with maturity 3 months (i.e. T = 0.25 years), and payoff given by F = (8-5)+ (a) Write the Stochastic Differential Equation satisfied by (St) under the risk-neutral measure Q. (You don't need to prove it, simply give the answer.) (b) Give the price of a regular European put on (St) with maturity 3 months and strike K = 2. (c) Let X = S. Find the Stochastic Differential Equation satisfied by the process (Xt) under the measure Q. (d) Find an explicit expression for X₁ = S3 under measure Q. (e) Using the results above, find the price of the cubic put option mentioned above. (f) Is the price in (e) the same as in question (b)? (Explain why.)arrow_forward
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