Student Solutions Manual for Tan's Finite Mathematics for the Managerial, Life, and Social Sciences, 11th
11th Edition
ISBN: 9781285845722
Author: Tan, Soo T.
Publisher: Cengage Learning
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Chapter 3.BMO, Problem 5BMO
To determine
a)
To find:
The solution of the given problem.
To determine
(b)
To find:
The range of values that coefficient of
To determine
(c)
To find:
The range for the values that resource 1 can assume.
To determine
(d)
To find:
The shadow price.
To determine
(e)
To find:
The binding and non binding constraints.
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La
=
L =
Wa
=
W =…
Use the Euclidean algorithm to find two sets of integers (a, b, c) such
that
55a65b+143c:
Solution
= 1.
By the Euclidean algorithm, we have:
143 = 2.65 + 13 and 65 = 5.13, so 13 = 143 – 2.65.
-
Also, 55 = 4.13+3, 13 = 4.3 + 1 and 3 = 3.1,
so 1 = 13 — 4.3 = 13 — 4(55 – 4.13) = 17.13 – 4.55.
Combining these, we have:
1 = 17(143 – 2.65) - 4.55 = −4.55 - 34.65 + 17.143,
so we can take a = − −4, b = −34, c = 17. By carrying out the division
algorithm in other ways, we obtain different solutions, such as
19.55 23.65 +7.143, so a = = 9, b -23, c = 7.
=
=
how
?
come
[Note that 13.55 + 11.65 - 10.143 0, so we can obtain new solutions by
adding multiples of this equation, or similar equations.]
Chapter 3 Solutions
Student Solutions Manual for Tan's Finite Mathematics for the Managerial, Life, and Social Sciences, 11th
Ch. 3.1 - Prob. 1CQCh. 3.1 - Prob. 2CQCh. 3.1 - In Exercises 110, find the graphical solution to...Ch. 3.1 - Prob. 2ECh. 3.1 - Prob. 3ECh. 3.1 - In Exercises 110, find the graphical solution to...Ch. 3.1 - In Exercises 110, find the graphical solution to...Ch. 3.1 - Prob. 6ECh. 3.1 - In Exercises 110, find the graphical solution to...Ch. 3.1 - In Exercises 110, find the graphical solution to...
Ch. 3.1 - Prob. 9ECh. 3.1 - In Exercises 110, find the graphical solution of...Ch. 3.1 - In Exercises 11-18, write a system of linear...Ch. 3.1 - In Exercises 11-18, write a system of linear...Ch. 3.1 - In Exercises 11-18, write a system of linear...Ch. 3.1 - In Exercises 11-18, write a system of linear...Ch. 3.1 - Prob. 15ECh. 3.1 - Prob. 16ECh. 3.1 - In Exercises 11-18, write a system of linear...Ch. 3.1 - In Exercises 11-18, write a system of linear...Ch. 3.1 - Prob. 19ECh. 3.1 - Prob. 20ECh. 3.1 - Prob. 21ECh. 3.1 - Prob. 22ECh. 3.1 - In Exercises 2340, determine graphically the...Ch. 3.1 - Prob. 24ECh. 3.1 - In Exercises 2340, determine graphically the...Ch. 3.1 - Prob. 26ECh. 3.1 - In Exercises 2340, determine graphically the...Ch. 3.1 - Prob. 28ECh. 3.1 - Prob. 29ECh. 3.1 - In Exercises 2340, determine graphically the...Ch. 3.1 - Prob. 31ECh. 3.1 - Prob. 32ECh. 3.1 - In Exercises , determine graphically the solution...Ch. 3.1 - In Exercises 2340, determine graphically the...Ch. 3.1 - In Exercises 23 - 40, determine graphically the...Ch. 3.1 - Prob. 36ECh. 3.1 - Prob. 37ECh. 3.1 - Prob. 38ECh. 3.1 - Prob. 39ECh. 3.1 - In Exercises 2340, determine graphically the...Ch. 3.1 - CONCERT ATTENDANCE The Peninsula Brass Band will...Ch. 3.1 - MANUFACTURING FERTILIZERSAgro Products makes two...Ch. 3.1 - Investments Louisa has earmarked at most 250,000...Ch. 3.1 - DIET PLANNING A dietitian whishes to plan a meal...Ch. 3.1 - Prob. 45ECh. 3.1 - In Exercises 45-48, determine whether the...Ch. 3.1 - Prob. 47ECh. 3.1 - Prob. 48ECh. 3.2 - What is a Linear programming problem?Ch. 3.2 - Suppose you are asked to formulate a linear...Ch. 3.2 - Prob. 3CQCh. 3.2 - Formulate but do not solve each of the following...Ch. 3.2 - Formulate but do not solve each of the following...Ch. 3.2 - Formulate but do not solve each of the following...Ch. 3.2 - Formulate but do not solve each of the following...Ch. 3.2 - PRODUCTION SCHEDULING A division of the Winston...Ch. 3.2 - PRODUCTION SCHEDULING Refer to Exercise 5. If the...Ch. 3.2 - ALLOCATION OF FUNDS Madison Finance has a total of...Ch. 3.2 - ASSET ALLOCATION A financier plans to invest up to...Ch. 3.2 - ASSET ALLOCATION Justin has decided to invest at...Ch. 3.2 - CROP PLANNING A farmer plans to plant two crops, A...Ch. 3.2 - MINIMIZING MINING COSTS Perth Mining Company...Ch. 3.2 - MINIMIZING CRUISE LINE COSTS Deluxe River Cruises...Ch. 3.2 - PRODUCTION SCHEDULING Acoustical Company...Ch. 3.2 - FERTILIZERS A farmer uses two types of...Ch. 3.2 - MINIMIZING CITY WATER COSTS The water-supply...Ch. 3.2 - PRODUCTION SCHEDULING Ace Novelty manufactures...Ch. 3.2 - DIET PLANNING A nutritionist at the Medical Center...Ch. 3.2 - OPTIMIZING ADVERTISING EXPOSURE Everest Deluxe...Ch. 3.2 - MINIMIZING SNIPPING COSTS TMA manufactures 37-in....Ch. 3.2 - SOCIAL PROGRAMS PLANNING AntiFam a hunger-relief...Ch. 3.2 - Prob. 21ECh. 3.2 - OPTIMIZING ADVERTISING EXPOSURE As part of a...Ch. 3.2 - PRODUCTION SCHEDULING Custom Office Furniture...Ch. 3.2 - Prob. 24ECh. 3.2 - ASSET ALLOCATION Ashley has earmarked at most...Ch. 3.2 - Prob. 26ECh. 3.2 - MINIMIZING SHIPPING COSTS Acrosonic of Example 4...Ch. 3.2 - OPTIMIZING PRODUCTION OF COLD FORMULAS Beyer...Ch. 3.2 - OPTIMIZING PRODUCTION OF BLENDED JUICES Caljuice...Ch. 3.2 - MINIMIZING SHIPPING COSTS Steinwelt Piano...Ch. 3.2 - Prob. 31ECh. 3.2 - Prob. 32ECh. 3.3 - a. What is the feasible set associated with the...Ch. 3.3 - Prob. 2CQCh. 3.3 - In Exercises 16, find maximum and/or minimum...Ch. 3.3 - In Exercises 16, find maximum and/or minimum...Ch. 3.3 - In Exercises 16, find maximum and/or minimum...Ch. 3.3 - Prob. 4ECh. 3.3 - Prob. 5ECh. 3.3 - Prob. 6ECh. 3.3 - Prob. 7ECh. 3.3 - Prob. 8ECh. 3.3 - Prob. 9ECh. 3.3 - Prob. 10ECh. 3.3 - Prob. 11ECh. 3.3 - Prob. 12ECh. 3.3 - Prob. 13ECh. 3.3 - Prob. 14ECh. 3.3 - Prob. 15ECh. 3.3 - Prob. 16ECh. 3.3 - Prob. 17ECh. 3.3 - Prob. 18ECh. 3.3 - Prob. 19ECh. 3.3 - Prob. 20ECh. 3.3 - Prob. 21ECh. 3.3 - Prob. 22ECh. 3.3 - Prob. 23ECh. 3.3 - Prob. 24ECh. 3.3 - Prob. 25ECh. 3.3 - Prob. 26ECh. 3.3 - Prob. 27ECh. 3.3 - Prob. 28ECh. 3.3 - Prob. 29ECh. 3.3 - Prob. 30ECh. 3.3 - Prob. 31ECh. 3.3 - Prob. 32ECh. 3.3 - Prob. 33ECh. 3.3 - Prob. 34ECh. 3.3 - Prob. 35ECh. 3.3 - Prob. 36ECh. 3.3 - Prob. 37ECh. 3.3 - Prob. 38ECh. 3.3 - Prob. 39ECh. 3.3 - Prob. 40ECh. 3.3 - Prob. 41ECh. 3.3 - Prob. 42ECh. 3.3 - Prob. 43ECh. 3.3 - The problems in Exercises 29 - 48 correspond to...Ch. 3.3 - Prob. 45ECh. 3.3 - Prob. 46ECh. 3.3 - Prob. 47ECh. 3.3 - Prob. 48ECh. 3.3 - Prob. 49ECh. 3.3 - VETERINARY SCIENCE A veterinarian has been asked...Ch. 3.3 - MAXIMIZING INVESTMENT RETURNS Patricia has at most...Ch. 3.3 - PRODUCTION SCHEDULING Bata Aerobics manufactures...Ch. 3.3 - Prob. 53ECh. 3.3 - Prob. 54ECh. 3.3 - Prob. 55ECh. 3.3 - Prob. 56ECh. 3.3 - Prob. 57ECh. 3.3 - Prob. 58ECh. 3.3 - Prob. 59ECh. 3.3 - Prob. 60ECh. 3.3 - Prob. 61ECh. 3.3 - Prob. 62ECh. 3.4 - Suppose P=3x+4y is the objective function in a...Ch. 3.4 - Prob. 2CQCh. 3.4 - Prob. 3CQCh. 3.4 - Prob. 1ECh. 3.4 - Prob. 2ECh. 3.4 - Prob. 3ECh. 3.4 - SHADOW PRICES Refer to Example 2. a. Find the...Ch. 3.4 - Prob. 5ECh. 3.4 - Prob. 6ECh. 3.4 - Prob. 7ECh. 3.4 - Prob. 8ECh. 3.4 - Prob. 9ECh. 3.4 - Prob. 10ECh. 3.4 - Prob. 11ECh. 3.4 - Prob. 12ECh. 3.4 - MINIMIZING COSTS Perth Mining Company operates two...Ch. 3.4 - MINIMIZING CRUISE LINE COSTS Deluxe River Cruises...Ch. 3.4 - PRODUCTION SCHEDULING Soundex produces two models...Ch. 3.4 - Prob. 16ECh. 3.4 - PRODUCTION SCHEDULING Kane Manufacturing has a...Ch. 3.4 - Prob. 18ECh. 3.CRQ - Fill in the blanks. a. The solution set of the...Ch. 3.CRQ - Prob. 2CRQCh. 3.CRQ - Fill in the blanks. A linear programming problem...Ch. 3.CRQ - Prob. 4CRQCh. 3.CRQ - Fill in the blanks. In sensitivity analysis, we...Ch. 3.CRQ - Prob. 6CRQCh. 3.CRE - In Exercise 1 and 2, find the optimal value s of...Ch. 3.CRE - In Exercise 1 and 2, find the optimal value s of...Ch. 3.CRE - In Exercises 314, use the method of corners to...Ch. 3.CRE - In Exercises 314, use the method of corners to...Ch. 3.CRE - In Exercise 3-14, use the method of corner to...Ch. 3.CRE - In Exercise 3-14, use the method of corners to...Ch. 3.CRE - In Exercise 3-14, use the method of corner to...Ch. 3.CRE - In Exercise 3-14, use the method of corner to...Ch. 3.CRE - In Exercise 3-14, use the method of corner to...Ch. 3.CRE - In Exercise 3-14, use the method of corner to...Ch. 3.CRE - In Exercise 3-14, use the method of corner to...Ch. 3.CRE - Prob. 12CRECh. 3.CRE - In Exercise 3-14, use the method of corner to...Ch. 3.CRE - In Exercise 3-14, use the method of corner to...Ch. 3.CRE - FINANCIALANALYSIS An investor has decided to...Ch. 3.CRE - PRODUCTION SCHEDULING Soundex produces two model...Ch. 3.CRE - PRODUCTION SCHEDULING Kane Manufacturing has a...Ch. 3.CRE - MINIMIZING SHIPPING COSTS A manufacturer of...Ch. 3.BMO - Prob. 1BMOCh. 3.BMO - Prob. 2BMOCh. 3.BMO - Prob. 3BMOCh. 3.BMO - Prob. 4BMOCh. 3.BMO - Prob. 5BMO
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