Contemporary Mathematics for Business & Consumers
8th Edition
ISBN: 9781305585447
Author: Robert Brechner, Geroge Bergeman
Publisher: Cengage Learning
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Chapter 3.II, Problem 35RE
To determine
To calculate: The value of
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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
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Chapter 3 Solutions
Contemporary Mathematics for Business & Consumers
Ch. 3.I - Read and write the following numbers in word...Ch. 3.I - Round the following numbers to the indicated...Ch. 3.I - Write the following numbers in word form.
Ch. 3.I - Write the following numbers in word form. 2.48Ch. 3.I - Write the following numbers in word form.
3. ...Ch. 3.I - Write the following numbers in word form.
4....Ch. 3.I - Prob. 5RECh. 3.I - Write the following numbers in word form. .000033Ch. 3.I - Write the following numbers in word form. .00938Ch. 3.I - Prob. 8RE
Ch. 3.I - Write the following numbers in word form. .0005712Ch. 3.I - Write the following numbers in word form.
10....Ch. 3.I - Prob. 11RECh. 3.I - Prob. 12RECh. 3.I - Prob. 13RECh. 3.I - Write the following numbers in numerical form....Ch. 3.I - Prob. 15RECh. 3.I - Write the following numbers in numerical form.
16....Ch. 3.I - Prob. 17RECh. 3.I - Round the following numbers to the indicated...Ch. 3.I - Prob. 19RECh. 3.I - Round the following numbers to the indicated...Ch. 3.I - Round the following numbers to the indicated...Ch. 3.I - Round the following numbers to the indicated...Ch. 3.I - Prob. 23RECh. 3.I - Round the following numbers to the indicated...Ch. 3.I - Prob. 25RECh. 3.I - Round the following numbers to the indicated...Ch. 3.I - You are the assistant to the production manager...Ch. 3.II - Perform the indicated operation....Ch. 3.II - Prob. 4TIECh. 3.II - Prob. 5TIECh. 3.II - Prob. 1RECh. 3.II - Perform the indicated operation for the...Ch. 3.II - Prob. 3RECh. 3.II - Prob. 4RECh. 3.II - Prob. 5RECh. 3.II - Prob. 6RECh. 3.II - Prob. 7RECh. 3.II - Prob. 8RECh. 3.II - Prob. 9RECh. 3.II - Prob. 10RECh. 3.II - Prob. 11RECh. 3.II - 12. Subtract fifteen and eighty-eight...Ch. 3.II - Prob. 13RECh. 3.II - 14. In one week of training for the San Francisco...Ch. 3.II - Prob. 15RECh. 3.II - Last week Kate Burke ran a 5-kilometer race in...Ch. 3.II - Prob. 17RECh. 3.II - Faith Sherlock received her monthly pension check...Ch. 3.II - 19. Use the chart “The Pet Story” to answer the...Ch. 3.II - Prob. 20RECh. 3.II - Prob. 21RECh. 3.II - Prob. 22RECh. 3.II - Prob. 23RECh. 3.II - Prob. 24RECh. 3.II - Prob. 25RECh. 3.II - Prob. 26RECh. 3.II - Prob. 27RECh. 3.II - Prob. 28RECh. 3.II - Prob. 29RECh. 3.II - Prob. 30RECh. 3.II - Prob. 31RECh. 3.II - Prob. 32RECh. 3.II - Divide the following numbers. Round to hundredths...Ch. 3.II - Prob. 34RECh. 3.II - Prob. 35RECh. 3.II - Sam Estero received a $50 gift card to iTunes for...Ch. 3.II - Prob. 37RECh. 3.II - 38. Jimmie Masters earns $4,825.50 per month as a...Ch. 3.II - USA Today reported that Ethiopian Airlines had...Ch. 3.II - Prob. 40RECh. 3.II - Prob. 41RECh. 3.II - Edward Nolan has room for 26 bedding plants in his...Ch. 3.II - Prob. 43RECh. 3.II - Prob. 44RECh. 3.II - 45. Tim Meekma owns a PepsiCo vending truck that...Ch. 3.II - According to the Food and Nutrition Service of the...Ch. 3.III - Convert the following decimals to their fractional...Ch. 3.III - Prob. 7TIECh. 3.III - Convert the following decimals to fractions and...Ch. 3.III - Convert the following decimals to fractions and...Ch. 3.III - Convert the following decimals to fractions and...Ch. 3.III - Convert the following decimals to fractions and...Ch. 3.III - Convert the following decimals to fractions and...Ch. 3.III - Convert the following fractions to decimals. Round...Ch. 3.III - Convert the following fractions to decimals. Round...Ch. 3.III - Convert the following fractions to decimals. Round...Ch. 3.III - Convert the following fractions to decimals. Round...Ch. 3.III - Convert the following fractions to decimals. Round...Ch. 3.III - For the following numbers, perform the indicated...Ch. 3.III - For the following numbers, perform the indicated...Ch. 3.III - For the following numbers, perform the indicated...Ch. 3.III - For the following numbers, perform the indicated...Ch. 3.III - a. You are planning a party for your bowling...Ch. 3.III - Catalina Jewelers has 147.25 ounces of 14-carat...Ch. 3.III - a. What is the total cost of fuel for a 4,602 mile...Ch. 3.III - Ever Ready taxicabs charge 1.20 for the first 14...Ch. 3.III - You are the purchasing manager for Five Star...Ch. 3.III - 20. You are the manager of Rally Rent-a-car. A...Ch. 3.III - 21. You are a loan officer at the West Elm Savings...Ch. 3 - 1. As with fractions, ________ are a way of...Ch. 3 - The ________ ________ separates the whole number...Ch. 3 - 3. When rounding decimals, we delete all digits to...Ch. 3 - When rounding monetary amounts, we round to the...Ch. 3 - When adding or subtracting decimals, we begin by...Ch. 3 - 6. When adding or subtracting decimals, we work...Ch. 3 - 7. In the multiplication of decimals, the product...Ch. 3 - 8. When multiplying a decimal by a power of 10, as...Ch. 3 - When dividing decimals, the basic rule is that you...Ch. 3 - 10. When dividing a decimal by a power of 10, as a...Ch. 3 - When converting a decimal to a fraction, we...Ch. 3 - 12. To convert a fraction to a decimal, we divide...Ch. 3 - Write the following numbers in word form. .61Ch. 3 - Write the following numbers in word form. 34.581Ch. 3 - Write the following numbers in word form. $119.85Ch. 3 - Write the following numbers in word form.
4.
Ch. 3 - Write the following numbers in word form.
5.
Ch. 3 - Write the following numbers in numerical form.
6....Ch. 3 - Write the following numbers in numerical form.
7....Ch. 3 - Write the following numbers in numerical form.
8....Ch. 3 - Write the following numbers in numerical form.
9....Ch. 3 - Round the following numbers to the indicated...Ch. 3 - Round the following numbers to the indicated...Ch. 3 - Round the following numbers to the indicated...Ch. 3 - Round the following numbers to the indicated...Ch. 3 - Perform the indicated operation for the...Ch. 3 - Perform the indicated operation for the following....Ch. 3 - Perform the indicated operation for the following....Ch. 3 - Perform the indicated operation for the following....Ch. 3 - Prob. 18ATCh. 3 - Perform the indicated operation for the...Ch. 3 - Perform the indicated operation for the following....Ch. 3 - Perform the indicated operation for the following....Ch. 3 - Perform the indicated operation for the...Ch. 3 - Perform the indicated operation for the following....Ch. 3 - Perform the indicated operation for the...Ch. 3 - Perform the indicated operation for the...Ch. 3 - Convert the following decimals to fractions and...Ch. 3 - Convert the following decimals to fractions and...Ch. 3 - Convert the following fractions to decimals. Round...Ch. 3 - Convert the following fractions to decimals. Round...Ch. 3 - Convert the following fractions to decimals. Round...Ch. 3 - Gary Scott can buy a box of 40 Blu-ray discs for...Ch. 3 - Two Wheeler-Dealer Bike Shop has a 22-inch...Ch. 3 - The chief financial officer of Allied Corporation...Ch. 3 - 34. A spindle of 50 blank DVD discs costs $16.90....Ch. 3 - Liz Thorton has signed up for a one-semester class...Ch. 3 - At Magers Market, a 24-bottle case of spring water...Ch. 3 - 37. Maria Lopez shares an apartment with a friend....Ch. 3 - Ryan Miller wanted to make some money at a flea...Ch. 3 - 39. A cargo ship, The Caribbean Trader, has a...Ch. 3 - As the food manager for a local charity, you are...Ch. 3 - Prob. 41AT
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