
EBK FINITE MATHEMATICS & ITS APPLICATIO
12th Edition
ISBN: 9780134464053
Author: HAIR
Publisher: YUZU
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Chapter 10, Problem 16RE
To determine
To calculate: The amount of loan that can be supported by a monthly income of
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(c) Describe the distribution plan and show the total distribution cost.
Optimal Solution
Amount
Cost
$ 2000
Southern-Hamilton
200
Southern-Butler
$
Southern-Clermont
300
4500
Northwest-Hamilton
200
$2400
Northwest-Butler
200
$3000
Northwest-Clermont
$
Total Cost
ક
(d) Recent residential and industrial growth in Butler County has the potential for increasing demand by 100 units.
(i) Create an updated distribution plan assuming Southern Gas becomes the preferred supplier.
Distribution Plan with Southern Gas
Amount
Southern-Hamilton
$
Cost
×
Southern-Butler
x
$
Southern-Clermont
300
$ 4500
Northwest-Hamilton
64
x
Northwest-Butler
$
×
Northwest-Clermont 0
$0
Total Cost
$
(ii) Create an updated distribution plan assuming Northwest Gas becomes the preferred supplier.
Distribution Plan with Northwest Gas
Southern-Hamilton
Southern-Butler
0
Southern-Clermont
Northwest-Hamilton
Northwest-Butler
Northwest-Clermont
Total Cost
Amount
×
x
x
+7
$0
Cost
×
$
×
$
×
+4
$
-/+
$
×
×
The distribution system for the Herman Company consists of three plants, two warehouses, and four customers. Plant capacities and shipping costs per unit (in $) from each plant to each warehouse are as follows.
Warehouse
Plant
Capacity
1
2
1
4
7
450
2
8
5
600
3
5
6
380
Customer demand and shipping costs per unit (in $) from each warehouse to each customer are as follows.
Customer
Warehouse
1
2 3
1
6
4
8
2
3
6
7
7
Demand
300 300 300 400
(a) Develop a network representation of this problem. (Submit a file with a maximum size of 1 MB.)
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(b) Formulate a linear programming model of the problem. (Let Plant 1 be node 1, Plant 2 be node 2, Plant 3 be node 3, Warehouse 1 be node 4, Warehouse 2 be node 5, Customer 1 be node 6, Customer 2 be node 7, Customer 3 be node 8, and Customer 4 be node 9. Express your answers in the form x;;, where x,; represents the number of units shipped from
node i to node j.)
Min 4x14+8x24+5x34+7x15 +5x25…
A linear programming computer package is needed.
Hanson Inn is a 96-room hotel located near the airport and convention center in Louisville, Kentucky. When a convention or a special event is in town, Hanson increases its normal room rates and takes reservations based on a revenue management system. A large profesional organization has scheduled its annual convention in Louisville for the first weekend in June. Hanson Inn agreed to make at least 50% of its
rooms available for convention attendees at a special convention rate in order to be listed as a recommended hotel for the convention. Although the majority of attendees at the annual meeting typically request a Friday and Saturday two-night package, some attendees may select a Friday night only or a Saturday night only reservation. Customers not attending the convention may also request a Friday and
Saturday two-night package, or make a Friday night only or Saturday night only reservation. Thus, six types of reservations are…
Chapter 10 Solutions
EBK FINITE MATHEMATICS & ITS APPLICATIO
Ch. 10.1 - Solution can be found following the section...Ch. 10.1 - Solution can be found following the section...Ch. 10.1 - Calculate the future amount of $2000 after 6...Ch. 10.1 - In Exercises 1–6, given the values of i and n...Ch. 10.1 - In Exercises 1–6, given the values of i and n...Ch. 10.1 - In Exercises 1–6, given the values of i and n...Ch. 10.1 - In Exercises 16, given the values of i and n under...Ch. 10.1 - In Exercises 16, given the values of i and n under...Ch. 10.1 - In Exercises 1–6, given the values of i and n...Ch. 10.1 - In Exercises 712, given the values of i, n, P, and...
Ch. 10.1 - In Exercises 712, given the values of i, n, P, and...Ch. 10.1 - In Exercises 7–12, given the values of i, n, P,...Ch. 10.1 - In Exercises 7–12, given the values of i, n, P,...Ch. 10.1 - Prob. 11ECh. 10.1 - In Exercises 712, given the values of i, n, P, and...Ch. 10.1 - In Exercises 1338, solve each problem. Future...Ch. 10.1 - In Exercises 1338, solve each problem. Future...Ch. 10.1 - In Exercises 1338, solve each problem. Future...Ch. 10.1 - In Exercises 13–38, solve each problem.
16. Future...Ch. 10.1 - In Exercises 1338, solve each problem. Future...Ch. 10.1 - Prob. 18ECh. 10.1 - In Exercises 13–38, solve each...Ch. 10.1 - In Exercises 1338, solve each problem. Present...Ch. 10.1 - In Exercises 1338, solve each problem. Savings...Ch. 10.1 - In Exercises 13–38, solve each...Ch. 10.1 - In Exercises 1338, solve each problem. Comparing...Ch. 10.1 - In Exercises 1338, solve each problem. Comparing...Ch. 10.1 - In Exercises 13–38, solve each...Ch. 10.1 - In Exercises 13–38, solve each...Ch. 10.1 - Prob. 27ECh. 10.1 - In Exercises 1338, solve each problem. Interest If...Ch. 10.1 - Prob. 29ECh. 10.1 - In Exercises 13–38, solve each...Ch. 10.1 - In Exercises 1338, solve each problem. Interest If...Ch. 10.1 - In Exercises 1338, solve each problem. Interest If...Ch. 10.1 - In Exercises 1338, solve each problem. Savings...Ch. 10.1 - In Exercises 13–38, solve each...Ch. 10.1 - In Exercises 13–38, solve each...Ch. 10.1 - In Exercises 1338, solve each problem. Interest...Ch. 10.1 - In Exercises 1338, solve each problem. Savings...Ch. 10.1 - In Exercises 1338, solve each problem. Savings...Ch. 10.1 - Exercises 39–52 concern simple...Ch. 10.1 - Exercises 39–52 concern simple...Ch. 10.1 - Exercises 3952 concern simple interest. Future...Ch. 10.1 - Exercises 39–52 concern simple...Ch. 10.1 - Exercises 39–52 concern simple...Ch. 10.1 - Exercises 3952 concern simple interest. Present...Ch. 10.1 - Exercises 3952 concern simple interest. Interest...Ch. 10.1 - Exercises 3952 concern simple interest. Interest...Ch. 10.1 - Exercises 3952 concern simple interest. Time...Ch. 10.1 - Exercises 3952 concern simple interest. Time...Ch. 10.1 - Exercises 3952 concern simple interest. Time...Ch. 10.1 - Exercises 3952 concern simple interest. Interest...Ch. 10.1 - Exercises 3952 concern simple interest. Present...Ch. 10.1 - Exercises 39–52 concern simple interest.
52. Time...Ch. 10.1 - Future Value Compute the future value after 1 year...Ch. 10.1 - Future Value Compute the future value after 1 year...Ch. 10.1 - Effective Rate of Interest In Exercises 5558,...Ch. 10.1 - Effective Rate of Interest In Exercises 5558,...Ch. 10.1 - Effective Rate of Interest In Exercises 55–58,...Ch. 10.1 - Effective Rate of Interest In Exercises 55–58,...Ch. 10.1 - Prob. 59ECh. 10.1 - Savings Account During the 1990s, a deposit was...Ch. 10.1 - Prob. 61ECh. 10.1 - Prob. 62ECh. 10.1 - Prob. 63ECh. 10.1 - Doubling Time(True or False) An investment growing...Ch. 10.1 - Prob. 65ECh. 10.1 - Future Value If your stock portfolio gained 20% in...Ch. 10.1 - 67. Comparing Investments The same amount of money...Ch. 10.1 - Prob. 68ECh. 10.1 - Prob. 69ECh. 10.1 - Prob. 70ECh. 10.1 - Prob. 71ECh. 10.1 - Prob. 72ECh. 10.1 - Prob. 73ECh. 10.1 - Prob. 74ECh. 10.1 - Prob. 75ECh. 10.1 - 76. Savings Account Ten thousand dollars is...Ch. 10.1 - Prob. 77ECh. 10.1 - Prob. 78ECh. 10.1 - Comparing Investments Consider the following two...Ch. 10.1 - 80. Comparing Investments Consider the following...Ch. 10.2 - Solutions can be found the section exercises....Ch. 10.2 - Prob. 2CYUCh. 10.2 - Prob. 3CYUCh. 10.2 - Exercises 1 and 2 describe increasing annuities....Ch. 10.2 - Exercises 1 and 2 describe increasing annuities....Ch. 10.2 - Exercises 3 and 4 describe decreasing annuities....Ch. 10.2 - Exercises 3 and 4 describe decreasing annuities....Ch. 10.2 - In Exercises 5 and 6, calculate the future value...Ch. 10.2 - In Exercises 5 and 6, calculate the future value...Ch. 10.2 - In Exercises 7 and 8, calculate the rent of the...Ch. 10.2 - In Exercises 7 and 8, calculate the rent of the...Ch. 10.2 - In Exercises 9 and 10, calculate the present value...Ch. 10.2 - In Exercises 9 and 10, calculate the present value...Ch. 10.2 - In Exercises 11 and 12, calculate the rent of the...Ch. 10.2 - In Exercises 11 and 12, calculate the rent of the...Ch. 10.2 - Savings Account Ethan deposits $500 into a savings...Ch. 10.2 - Savings Account Emma deposits $2000 into a savings...Ch. 10.2 - Prob. 15ECh. 10.2 - Savings Account A person deposits$5000 into a...Ch. 10.2 - In Exercises 17–20, determine the amount of...Ch. 10.2 - In Exercises 1720, determine the amount of...Ch. 10.2 - In Exercises 1720, determine the amount of...Ch. 10.2 - Prob. 20ECh. 10.2 - Comparing Payouts Is it more profitable to receive...Ch. 10.2 - Comparing Payouts Is it more profitable to receive...Ch. 10.2 - Comparing Bonus Plans When Bridget takes a new...Ch. 10.2 - Comparing Lottery Payouts A lottery winner is...Ch. 10.2 - College Allowance During Jacks first year at...Ch. 10.2 - Magazine Subscription Suppose that a magazine...Ch. 10.2 - 27. Savings Account Suppose that $1000 was...Ch. 10.2 - Savings Account Suppose that you opened a savings...Ch. 10.2 - 29. Savings Account Ms. Jones deposited $100 at...Ch. 10.2 - Prob. 30ECh. 10.2 - Prob. 31ECh. 10.2 - Savings Account How much money must you deposit...Ch. 10.2 - Prob. 33ECh. 10.2 - Prob. 34ECh. 10.2 - Municipal Bond A municipal bond pays 4% interest...Ch. 10.2 - Present Value What is the present value of a loan...Ch. 10.2 - 37. Business Loan A business loan for $200,000...Ch. 10.2 - 38. Lottery Payoff A lottery winner is to receive...Ch. 10.2 - Prob. 39ECh. 10.2 - A sinking fund is an increasing annuity set up by...Ch. 10.2 - Prob. 41ECh. 10.2 - A sinking fund is an increasing annuity set up by...Ch. 10.2 - Prob. 43ECh. 10.2 - Prob. 44ECh. 10.2 - Prob. 45ECh. 10.2 - Prob. 46ECh. 10.2 - Prob. 47ECh. 10.2 - Prob. 48ECh. 10.2 - A deferred annuity is a type of decreasing annuity...Ch. 10.2 - Prob. 50ECh. 10.2 - Prob. 51ECh. 10.2 - Prob. 52ECh. 10.2 - Prob. 53ECh. 10.2 - Prob. 54ECh. 10.2 - Prob. 55ECh. 10.2 - Prob. 56ECh. 10.2 - Prob. 57ECh. 10.2 - In Exercises 51–58, give the settings or...Ch. 10.2 - Prob. 59ECh. 10.2 - 60. Time Interval A person deposits $800 at the...Ch. 10.2 - Prob. 61ECh. 10.2 - Home Repairs Fund Bob needs $3064 to have some...Ch. 10.2 - Prob. 63ECh. 10.3 - Solution can be found following the section...Ch. 10.3 - Solution can be found following the section...Ch. 10.3 - Solution can be found following the section...Ch. 10.3 - 1. Loan Payment A car loan of $10,000 is to be...Ch. 10.3 - Loan Payment A loan of $5000 is to be repaid with...Ch. 10.3 - Loan Payment A loan of $4000 is to be repaid with...Ch. 10.3 - Loan Payment A loan of $3000 is to be repaid with...Ch. 10.3 - Loan Amount The weekly payment on a 2-year loan at...Ch. 10.3 - Loan Amount The quarterly payment on a 5-year loan...Ch. 10.3 - Mortgage Payment Find the monthly payment on a...Ch. 10.3 - 8. Mortgage Payment Find the monthly payment on a...Ch. 10.3 - 9. Mortgage Amount Find the amount of a 30-year...Ch. 10.3 - Mortgage Amount Find the amount of a 25-year...Ch. 10.3 - Mortgage Balance A 30-year mortgage at 4.2%...Ch. 10.3 - 12. Mortgage Balance A 25-year mortgage at 4.5%...Ch. 10.3 - 13. Loan Interest A loan with a weekly payment of...Ch. 10.3 - Loan Interest A loan with a quarterly payment of...Ch. 10.3 - Amortization Schedule Write out a complete...Ch. 10.3 - Amortization Schedule Write out a complete...Ch. 10.3 - 17. Mortgage Consider a $204,700, 30-year mortgage...Ch. 10.3 - 18. Mortgage James buys a house for $370,000. He...Ch. 10.3 - 19. Car Loan Susie takes out a car loan for $9480...Ch. 10.3 - Loan Consider a $21,281.27 loan for 7 years at 8%...Ch. 10.3 - Prob. 21ECh. 10.3 - Comparing Financing Options In a recent year, Ford...Ch. 10.3 - 23. Comparing Financing Options A bank makes the...Ch. 10.3 - Buy Now or Later? According to an article in the...Ch. 10.3 - Balloon Payment A loan is to be amortized over an...Ch. 10.3 - 26. Balloon Payment A loan of $127,000.50 is to be...Ch. 10.3 - 27. Car Loan A car is purchased for $6287.10, with...Ch. 10.3 - Prob. 28ECh. 10.3 - Prob. 29ECh. 10.3 - Prob. 30ECh. 10.3 - Terminating a Mortgage In 2006, Emma purchased a...Ch. 10.3 - Refinancing a Mortgage A real estate speculator...Ch. 10.3 - Prob. 33ECh. 10.3 - Prob. 34ECh. 10.3 - Total of Loan Payment Suppose that you borrow...Ch. 10.3 - 36. Loan Amount Suppose that you borrow money at...Ch. 10.3 - Let Bn= balance of a loan after n payments, In=...Ch. 10.3 - Let QnandIn be as defined in Exercise 37. a. Use...Ch. 10.3 - Prob. 39ECh. 10.3 - Prob. 40ECh. 10.3 - Prob. 41ECh. 10.3 - Prob. 42ECh. 10.3 - Prob. 43ECh. 10.3 - In Exercises 39–46, give settings or statements to...Ch. 10.3 - Prob. 45ECh. 10.3 - Prob. 46ECh. 10.3 - Prob. 47ECh. 10.3 - Prob. 48ECh. 10.3 - Debt Reduction A loan of $10,000 at 9% interest...Ch. 10.3 - 50. Debt Reduction A loan of $4000 at 6% interest...Ch. 10.3 - Prob. 51ECh. 10.3 - Prob. 52ECh. 10.4 - Solution can be found following the section...Ch. 10.4 - Prob. 2CYUCh. 10.4 - Prob. 3CYUCh. 10.4 - Prob. 1ECh. 10.4 - Prob. 2ECh. 10.4 - Prob. 3ECh. 10.4 - Prob. 4ECh. 10.4 - Prob. 5ECh. 10.4 - Comparing IRAs Rework Examples 1 and 3 for the...Ch. 10.4 - Roth IRA Rework Exercise 5 for a Roth IRA.Ch. 10.4 - 8. Comparing IRAs Rework Examples 1 and 3 for the...Ch. 10.4 - Value of Starting an IRA Early Redo Example 4...Ch. 10.4 - Prob. 10ECh. 10.4 - Prob. 11ECh. 10.4 - Prob. 12ECh. 10.4 - Prob. 13ECh. 10.4 - Prob. 14ECh. 10.4 - Prob. 15ECh. 10.4 - Prob. 16ECh. 10.4 - Prob. 17ECh. 10.4 - Prob. 18ECh. 10.4 - Prob. 19ECh. 10.4 - Prob. 20ECh. 10.4 - Prob. 21ECh. 10.4 - Prob. 22ECh. 10.4 - Prob. 23ECh. 10.4 - Prob. 24ECh. 10.4 - Prob. 25ECh. 10.4 - 26. True or False Refer to Example 10. If the...Ch. 10.4 - Prob. 27ECh. 10.4 - APR In multiple-choice Exercises 2730, assume that...Ch. 10.4 - Prob. 29ECh. 10.4 - Prob. 30ECh. 10.4 - Prob. 31ECh. 10.4 - Effective Mortgage Rate In multiple-choice...Ch. 10.4 - Prob. 33ECh. 10.4 - Prob. 34ECh. 10.4 - Prob. 35ECh. 10.4 - Prob. 36ECh. 10.4 - Prob. 39ECh. 10.4 - Prob. 40ECh. 10.4 - Interest-Only Mortgage Consider a 15-year mortgage...Ch. 10.4 - 42. Interest-Only Mortgage Consider a 15-year...Ch. 10.4 - 43. Adjustable-Rate Mortgage Consider a 25-year...Ch. 10.4 - Prob. 44ECh. 10.4 - Prob. 45ECh. 10.4 - Prob. 46ECh. 10.4 - Prob. 47ECh. 10.4 - Prob. 48ECh. 10.4 - Prob. 49ECh. 10.4 - Prob. 50ECh. 10.4 - Prob. 51ECh. 10.4 - Prob. 52ECh. 10.4 - Prob. 53ECh. 10.4 - Prob. 54ECh. 10.4 - Prob. 55ECh. 10.4 - Prob. 56ECh. 10.5 - Solution can be found following the section...Ch. 10.5 - Prob. 2CYUCh. 10.5 - Prob. 1ECh. 10.5 - Prob. 2ECh. 10.5 - Prob. 3ECh. 10.5 - In Exercises 1–10, give a difference equation for...Ch. 10.5 - In Exercises 1–10, give a difference equation for...Ch. 10.5 - Prob. 6ECh. 10.5 - Prob. 7ECh. 10.5 - Prob. 8ECh. 10.5 - Prob. 9ECh. 10.5 - Prob. 10ECh. 10.5 - In Exercises 11 and 12, answer the questions....Ch. 10.5 - In Exercises 11 and 12, answer the questions....Ch. 10.5 - Prob. 13ECh. 10.5 - In Exercises 1318, (a) determine the first five...Ch. 10.5 - Prob. 15ECh. 10.5 - Prob. 16ECh. 10.5 - Prob. 17ECh. 10.5 - Prob. 18ECh. 10.5 - Prob. 19ECh. 10.5 - Prob. 20ECh. 10.5 - Prob. 21ECh. 10.5 - Prob. 22ECh. 10.5 - Prob. 23ECh. 10.5 - Prob. 24ECh. 10.5 - Prob. 25ECh. 10.5 - Prob. 26ECh. 10.5 - Prob. 27ECh. 10.5 - Prob. 28ECh. 10.5 - Prob. 29ECh. 10.5 - Prob. 30ECh. 10.5 - Prob. 31ECh. 10.5 - In Exercises 1938, use difference equations to...Ch. 10.5 - In Exercises 1938, use difference equations to...Ch. 10.5 - In Exercises 19–38, use difference equations to...Ch. 10.5 - Prob. 35ECh. 10.5 - Prob. 36ECh. 10.5 - Prob. 37ECh. 10.5 - Prob. 38ECh. 10.5 - Prob. 39ECh. 10.5 - Prob. 40ECh. 10.5 - Prob. 41ECh. 10.5 - Elevation and Atmospheric Pressure The atmospheric...Ch. 10.5 - Prob. 43ECh. 10.5 - Prob. 44ECh. 10.5 - Prob. 45ECh. 10.5 - Prob. 46ECh. 10.5 - Prob. 47ECh. 10.5 - Prob. 48ECh. 10.5 - Prob. 50ECh. 10 - 1. What is meant by principal?
Ch. 10 - Prob. 2FCCECh. 10 - 3. What is meant by the balance in a savings...Ch. 10 - Prob. 4FCCECh. 10 - Prob. 5FCCECh. 10 - Prob. 6FCCECh. 10 - Prob. 7FCCECh. 10 - 8. Explain the difference between the nominal and...Ch. 10 - Prob. 9FCCECh. 10 - Prob. 10FCCECh. 10 - Prob. 11FCCECh. 10 - Prob. 12FCCECh. 10 - Prob. 13FCCECh. 10 - Prob. 14FCCECh. 10 - Prob. 15FCCECh. 10 - Prob. 16FCCECh. 10 - Prob. 17FCCECh. 10 - Prob. 18FCCECh. 10 - How are finance charges on a consumer loan...Ch. 10 - Prob. 20FCCECh. 10 - Prob. 21FCCECh. 10 - Prob. 22FCCECh. 10 - Prob. 23FCCECh. 10 - Prob. 24FCCECh. 10 - Prob. 25FCCECh. 10 - Prob. 26FCCECh. 10 - Prob. 1RECh. 10 - Prob. 2RECh. 10 - Prob. 3RECh. 10 - Prob. 4RECh. 10 - Prob. 5RECh. 10 - Prob. 6RECh. 10 - Nonstandard Mortgage A real estate investor takes...Ch. 10 - Prob. 8RECh. 10 - Prob. 9RECh. 10 - Prob. 10RECh. 10 - Prob. 11RECh. 10 - Prob. 12RECh. 10 - Prob. 13RECh. 10 - Prob. 14RECh. 10 - Prob. 15RECh. 10 - Prob. 16RECh. 10 - Prob. 17RECh. 10 - Prob. 18RECh. 10 - Prob. 19RECh. 10 - Prob. 20RECh. 10 - Prob. 21RECh. 10 - Prob. 22RECh. 10 - Prob. 23RECh. 10 - Prob. 24RECh. 10 - Prob. 25RECh. 10 - Prob. 26RECh. 10 - Prob. 27RECh. 10 - Prob. 28RECh. 10 - Prob. 29RECh. 10 - Prob. 30RECh. 10 - Prob. 31RECh. 10 - Prob. 32RECh. 10 - Prob. 33RECh. 10 - Prob. 34RECh. 10 - Interest-Only Mortgage Consider a 25-year mortgage...Ch. 10 - 36. Adjustable-Rate Mortgage Consider a 25-year...Ch. 10 - Prob. 37RECh. 10 - Prob. 38RECh. 10 - Prob. 39RECh. 10 - Prob. 40RECh. 10 - Prob. 41RECh. 10 - Prob. 42RECh. 10 - Prob. 43RECh. 10 - Prob. 44RECh. 10 - Prob. 45RECh. 10 - Prob. 46RECh. 10 - Prob. 47RECh. 10 - Prob. 48RECh. 10 - Suppose that a $100,000 investment grows 3% during...Ch. 10 - Prob. 2PCh. 10 - 3. Consider an annuity in which $100,000 is...Ch. 10 - Rework Exercise 3, where the interest rate is 4%...Ch. 10 - Prob. 5PCh. 10 - Prob. 6PCh. 10 - 7. Show that, if an investment of P dollars earns ...Ch. 10 - 8. Which of the following two statements is true?...Ch. 10 - Show that, if $1000 is invested at 8% interest...Ch. 10 - Prob. 10PCh. 10 - Prob. 11PCh. 10 - Prob. 12PCh. 10 - Prob. 13PCh. 10 - Prob. 14PCh. 10 - Prob. 15P
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