
Finite Mathematics for the Managerial, Life, and Social Sciences, 11th Edition
11th Edition
ISBN: 9781285464657
Author: Soo T. Tan
Publisher: Brooks Cole
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Question
Chapter 3.4, Problem 9E
To determine
(a).
To find:
The solution to the problem, using the method of corner points.
To determine
(b).
To find:
The range of values of the coefficient of
To determine
(c).
To find:
The range of values that resource
To determine
(d).
To find:
The shadow price for resource 1 (requirement 1).
To determine
(e).
To find:
The binding and nonbinding constraints.
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-
Let n = 7, let p = 23 and let S be the set of least positive residues mod p of the first (p − 1)/2
multiple of n, i.e.
n mod p, 2n mod p, ...,
p-1
2
-n mod p.
Let T be the subset of S consisting of those residues which exceed p/2.
Find the set T, and hence compute the Legendre symbol (7|23).
23
32
how come?
The first 11 multiples of 7 reduced mod 23 are
7, 14, 21, 5, 12, 19, 3, 10, 17, 1, 8.
The set T is the subset of these residues exceeding
So T = {12, 14, 17, 19, 21}.
By Gauss' lemma (Apostol Theorem 9.6),
(7|23) = (−1)|T| = (−1)5 = −1.
Let n = 7, let p = 23 and let S be the set of least positive residues mod p of the first (p-1)/2
multiple of n, i.e.
n mod p, 2n mod p, ...,
2
p-1
-n mod p.
Let T be the subset of S consisting of those residues which exceed p/2.
Find the set T, and hence compute the Legendre symbol (7|23).
The first 11 multiples of 7 reduced mod 23 are
7, 14, 21, 5, 12, 19, 3, 10, 17, 1, 8.
23
The set T is the subset of these residues exceeding
2°
So T = {12, 14, 17, 19, 21}.
By Gauss' lemma (Apostol Theorem 9.6),
(7|23) = (−1)|T| = (−1)5 = −1.
how come?
Shading a Venn diagram with 3 sets: Unions, intersections, and...
The Venn diagram shows sets A, B, C, and the universal set U.
Shade (CUA)' n B on the Venn diagram.
U
Explanation
Check
A-
B
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Chapter 3 Solutions
Finite Mathematics for the Managerial, Life, and Social Sciences, 11th Edition
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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