
Contemporary Mathematics for Business and Consumers
7th Edition
ISBN: 9781285189758
Author: Robert Brechner, George Bergeman
Publisher: Cengage Learning
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Question
Chapter 18.III, Problem 24RE
To determine
To calculate: The amount of tax refund or tax owed of person T if the tax liability is $6,498, tax credits is $1,221 and other taxes is $885 and payments are $7,600.
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Students have asked these similar questions
You manage a chemical company with 2 warehouses. The following quantities of
Important Chemical A have arrived from an international supplier at 3 different
ports:
Chemical Available (L)
Port 1
Port 2
Port 3
400
110
100
The following amounts of Important Chemical A are required at your warehouses:
Warehouse 1
Warehouse 2
Chemical Required (L)
380
230
The cost in £ to ship 1L of chemical from each port to each warehouse is as follows:
Warehouse 1 Warehouse 2
Port 1
£10
£45
Port 2
£20
£28
Port 3
£13
£11
(a) You want to know how to send these shipments as cheaply as possible. For-
mulate this as a linear program (you do not need to formulate it in standard
inequality form) indicating what each variable represents.
a) Suppose that we are carrying out the 1-phase simplex algorithm on a linear program in
standard inequality form (with 3 variables and 4 constraints) and suppose that we have
reached a point where we have obtained the following tableau. Apply one more pivot
operation, indicating the highlighted row and column and the row operations you carry
out. What can you conclude from your updated tableau?
x1 12 23
81
82
83
S4
$1
-20
1 1
0
0
0
3
82
3 0
-2
0
1
2
0
6
12
1
1
-3
0
0
1
0
2
84
-3 0
2
0
0
-1 1 4
2
-2
0 11
0
0
-4
0
-8
b) Solve the following linear program using the 2-phase simplex algorithm. You should give
the initial tableau and each further tableau produced during the execution of the
algorithm. If the program has an optimal solution, give this solution and state its
objective value. If it does not have an optimal solution, say why.
maximize 21 - - 2x2 + x3 - 4x4
subject to 2x1+x22x3x4≥ 1,
5x1+x2-x3-4 -1,
2x1+x2-x3-342,
1, 2, 3, 4 ≥0.
Suppose we have a linear program in standard equation form
maximize c'x
subject to Ax=b,
x≥ 0.
and suppose u, v, and w are all optimal solutions to this linear program.
(a) Prove that zu+v+w is an optimal solution.
(b) If you try to adapt your proof from part (a) to prove that that u+v+w
is an optimal solution, say exactly which part(s) of the proof go wrong.
(c) If you try to adapt your proof from part (a) to prove that u+v-w is an
optimal solution, say exactly which part(s) of the proof go wrong.
Chapter 18 Solutions
Contemporary Mathematics for Business and Consumers
Ch. 18.I - Use Exhibit 18-1 to determine the amount of sales...Ch. 18.I - Andy Bennett purchased a car for $38,600 at Auto...Ch. 18.I - At the end of a business day, the cash register at...Ch. 18.I - An archery set at The Sports Authority in Mason,...Ch. 18.I - Use Exhibit 18-1 to determine the sales tax and...Ch. 18.I - Use Exhibit 18-1 to determine the sales tax and...Ch. 18.I - Use Exhibit 18-1 to determine the sales tax and...Ch. 18.I - Use Exhibit 18-1 to determine the sales tax and...Ch. 18.I - Use Exhibit 18-1 to determine the sales tax and...Ch. 18.I - Use Exhibit 18-1 to determine the sales tax and...
Ch. 18.I - Calculate the missing information for the...Ch. 18.I - Calculate the missing information for the...Ch. 18.I - Calculate the missing information for the...Ch. 18.I - Calculate the missing information for the...Ch. 18.I - Calculate the missing information for the...Ch. 18.I - Calculate the missing information for the...Ch. 18.I -
Calculate the missing information for the...Ch. 18.I - 14. Gloria Carey purchased a refrigerator at Best...Ch. 18.I - 15. Sig Moline purchased supplies at Office Max...Ch. 18.I - Last month The Sweet Tooth Candy Shops had total...Ch. 18.I - Abby Duncan purchased a diamond necklace for...Ch. 18.I - 18. The federal excise tax on commercial aviation...Ch. 18.I - BUSINESS DECISION: SPLITTING THE TAX You are the...Ch. 18.II - Calculate the tax due on a condominium with an...Ch. 18.II - Calculate the tax due on a three-acre parcel of...Ch. 18.II - Prob. 7TIECh. 18.II - Prob. 8TIECh. 18.II - Prob. 9TIECh. 18.II - Calculate the assessed value and the property tax...Ch. 18.II - Calculate the assessed value and the property tax...Ch. 18.II - Calculate the assessed value and the property tax...Ch. 18.II - Calculate the assessed value and the property tax...Ch. 18.II - Calculate the assessed value and the property tax...Ch. 18.II - Calculate the assessed value and the property tax...Ch. 18.II - Calculate the assessed value and the property tax...Ch. 18.II - Calculate the assessed value and the property tax...Ch. 18.II - Calculate the assessed value and the property tax...Ch. 18.II - Calculate the assessed value and the property tax...Ch. 18.II - Calculate the assessed value and the property tax...Ch. 18.II - Calculate the assessed value and the property tax...Ch. 18.II - Calculate the property tax rate required to meet...Ch. 18.II - Calculate the property tax rate required to meet...Ch. 18.II - Calculate the property tax rate required to meet...Ch. 18.II - Calculate the property tax rate required to meet...Ch. 18.II - Calculate the property tax rate required to meet...Ch. 18.II - 18. Chuck Wells purchased a condominium with a...Ch. 18.II - As the tax assessor for Indian Creek County, you...Ch. 18.II - BUSINESS DECISION: EARLY PAYMENT, LATE PAYMENT
20....Ch. 18.III - Nick Bontempo is single, claiming two exemptions....Ch. 18.III - Julie Goodwin and her husband, Doug, had taxable...Ch. 18.III - Mike Straus had taxable income of $123,545 last...Ch. 18.III - Kenya Dawson had a tax liability of $14,600 last...Ch. 18.III - The Trough Restaurant had taxable income of...Ch. 18.III - As a tax return preparer for The Fernando...Ch. 18.III - As a tax return preparer for The Fernando...Ch. 18.III - As a tax return preparer for The Fernando...Ch. 18.III - As a tax return preparer for The Fernando...Ch. 18.III - As a tax return preparer for The Fernando...Ch. 18.III - As a tax return preparer for The Fernando...Ch. 18.III - As a tax return preparer for The Fernando...Ch. 18.III - As a tax return preparer for The Fernando...Ch. 18.III - 9. Nancy Sullivan sells wholesale school supplies...Ch. 18.III - Use the Tax Table, Exhibit 18-3, to calculate the...Ch. 18.III - Use the Tax Table, Exhibit 18-3, to calculate the...Ch. 18.III - Use the Tax Table, Exhibit 18-3, to calculate the...Ch. 18.III - Use the Tax Table, Exhibit 18-3, to calculate the...Ch. 18.III - Use the Tax Table, Exhibit 18-3, to calculate the...Ch. 18.III - Prob. 15RECh. 18.III - Prob. 16RECh. 18.III - Prob. 17RECh. 18.III - Prob. 18RECh. 18.III - Prob. 19RECh. 18.III - Prob. 20RECh. 18.III - Prob. 21RECh. 18.III - Prob. 22RECh. 18.III - Prob. 23RECh. 18.III - Prob. 24RECh. 18.III - Buck and Meghan Calder had combined income of...Ch. 18.III - Calculate the amount of corporate income tax due...Ch. 18.III - Calculate the amount of corporate income tax due...Ch. 18.III - Calculate the amount of corporate income tax due...Ch. 18.III - Calculate the amount of corporate income tax due...Ch. 18.III - Prob. 30RECh. 18 - 1. A tax based on the retail selling or rental...Ch. 18 - Sales tax expressed in its most common form, as a...Ch. 18 - 3. Write the formula for calculating the selling...Ch. 18 - Prob. 4CRCh. 18 - Another name for property tax is ____ _____ tax....Ch. 18 - Prob. 6CRCh. 18 - Prob. 7CRCh. 18 - 8. As the tax assessor for your city, what formula...Ch. 18 - Prob. 9CRCh. 18 - Prob. 10CRCh. 18 - Prob. 11CRCh. 18 - Prob. 12CRCh. 18 - Prob. 13CRCh. 18 - Prob. 14CRCh. 18 - Use Exhibit 18-1 to determine the sales tax and...Ch. 18 - Use Exhibit 18-1 to determine the sales tax and...Ch. 18 - Calculate the missing information for the...Ch. 18 - Calculate the missing information for the...Ch. 18 - Calculate the missing information for the...Ch. 18 - Calculate the missing information for the...Ch. 18 - 7. Tim Meekma purchased a microwave oven for...Ch. 18 - 8. Yesterday Estate Jewelers had total sales,...Ch. 18 - 9. For its fleet of trucks, Overland Transport,...Ch. 18 - Calculate the assessed value and the property tax...Ch. 18 - Calculate the assessed value and the property tax...Ch. 18 -
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