Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
14th Edition
ISBN: 9780134677972
Author: Barnett
Publisher: PEARSON
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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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Textbook Question
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Chapter 5.3, Problem 13E

In Problems 13-16, graph the constant-cost lines through 9 , 9 and 12 , 12 . Use a straightedge to identify the corner point where the minimum cost occurs. Confirm your answer by constructing a corner-point table.

Chapter 5.3, Problem 13E, In Problems 13-16, graph the constant-cost lines through 9,9 and 12,12. Use a straightedge to

C = 7 x + 4 y

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Chapter 5 Solutions

Finite Mathematics for Business, Economics, Life Sciences and Social Sciences

Ch. 5.1 - In Step 2 of Example 1, 0,0 was used as a test...Ch. 5.1 - Graph 6x3y18.Ch. 5.1 - Graph (A) y4 (B) 4x9 (C) 3x2yCh. 5.1 - Find the linear inequality whose graph is given in...Ch. 5.1 - A food vendor at a rock concert sells hot dogs for...Ch. 5.1 - For Problems 1-8, if necessary, review Section...Ch. 5.1 - For Problems 1-8, if necessary, review Section...Ch. 5.1 - For Problems 1-8, if necessary, review Section...Ch. 5.1 - For Problems 1-8, if necessary, review Section...Ch. 5.1 - For Problems 1-8, if necessary, review Section...
Ch. 5.1 - For Problems 1-8, if necessary, review Section...Ch. 5.1 - For Problems 1-8, if necessary, review Section...Ch. 5.1 - For Problems 1-8, if necessary, review Section...Ch. 5.1 - Graph each inequality in Problems 9-18. yx1Ch. 5.1 - Graph each inequality in Problems 9-18. yx+1Ch. 5.1 - Graph each inequality in Problems 9-18. 3x2y6Ch. 5.1 - Graph each inequality in Problems 9-18. 2x5y10Ch. 5.1 - Graph each inequality in Problems 9-18. x4Ch. 5.1 - Graph each inequality in Problems 9-18. y5Ch. 5.1 - Graph each inequality in Problems 9-18. 6x+4y24Ch. 5.1 - Graph each inequality in Problems 9-18. 4x+8y32Ch. 5.1 - Graph each inequality in Problems 9-18. 5x2yCh. 5.1 - Graph each inequality in Problems 9-18. 6x4yCh. 5.1 - In Problems 19-22, (A) graph the set of points...Ch. 5.1 - In Problems 19-22, (A) graph the set of points...Ch. 5.1 - In Problems 19-22, (A) graph the set of points...Ch. 5.1 - In Problems 19-22, (A) graph the set of points...Ch. 5.1 - In Problems 23-32, define the variable and...Ch. 5.1 - In Problems 23-32, define the variable and...Ch. 5.1 - In Problems 23-32, define the variable and...Ch. 5.1 - In Problems 23-32, define the variable and...Ch. 5.1 - In Problems 23-32, define the variable and...Ch. 5.1 - In Problems 23-32, define the variable and...Ch. 5.1 - In Problems 23-32, define the variable and...Ch. 5.1 - In Problems 23-32, define the variable and...Ch. 5.1 - \ In Problems 23-32, define the variable and...Ch. 5.1 - In Problems 23-32, define the variable and...Ch. 5.1 - In Exercises 33-38, state the linear inequality...Ch. 5.1 - In Exercises 33-38, state the linear inequality...Ch. 5.1 - In Exercises 33-38, state the linear inequality...Ch. 5.1 - In Exercises 33-38, state the linear inequality...Ch. 5.1 - In Exercises 33-38, state the linear inequality...Ch. 5.1 - In Exercises 33-38, state the linear inequality...Ch. 5.1 - In Problems 39-44, define two variables and...Ch. 5.1 - In Problems 39-44, define two variables and...Ch. 5.1 - In Problems 39-44, define two variables and...Ch. 5.1 - In Problems 39-44, define two variables and...Ch. 5.1 - In Problems 39-44, define two variables and...Ch. 5.1 - In Problems 39-44, define two variables and...Ch. 5.1 - In Problems 45-54, graph each inequality subject...Ch. 5.1 - In Problems 45-54, graph each inequality subject...Ch. 5.1 - In Problems 45-54, graph each inequality subject...Ch. 5.1 - In Problems 45-54, graph each inequality subject...Ch. 5.1 - In Problems 45-54, graph each inequality subject...Ch. 5.1 - In Problems 45-54, graph each inequality subject...Ch. 5.1 - In Problems 45-54, graph each inequality subject...Ch. 5.1 - In Problems 45-54, graph each inequality subject...Ch. 5.1 - In Problems 45-54, graph each inequality subject...Ch. 5.1 - In Problems 45-54, graph each inequality subject...Ch. 5.1 - In Problems 55-66, express your answer as a linear...Ch. 5.1 - In Problems 55-66, express your answer as a linear...Ch. 5.1 - In Problems 55-66, express your answer as a linear...Ch. 5.1 - In Problems 55-66, express your answer as a linear...Ch. 5.1 - In Problems 55-66, express your answer as a linear...Ch. 5.1 - In Problems 55-66, express your answer as a linear...Ch. 5.1 - In Problems 55-66, express your answer as a linear...Ch. 5.1 - In Problems 55-66, express your answer as a linear...Ch. 5.1 - In Problems 55-66, express your answer as a linear...Ch. 5.1 - In Problems 55-66, express your answer as a linear...Ch. 5.1 - In Problems 55-66, express your answer as a linear...Ch. 5.1 - In Problems 55-66, express your answer as a linear...Ch. 5.2 - Determine whether the solution region of each...Ch. 5.2 - Solve the following system of linear inequalities...Ch. 5.2 - Solve the following system of linear inequalities...Ch. 5.2 - A manufacturing plant makes two types of...Ch. 5.2 - For Problems 1-8, if necessary, review Section...Ch. 5.2 - For Problems 1-8, if necessary, review Section...Ch. 5.2 - For Problems 1-8, if necessary, review Section...Ch. 5.2 - For Problems 1-8, if necessary, review Section...Ch. 5.2 - For Problems 1-8, if necessary, review Section...Ch. 5.2 - For Problems 1-8, if necessary, review Section...Ch. 5.2 - For Problems 1-8, if necessary, review Section...Ch. 5.2 - For Problems 1-8, if necessary, review Section...Ch. 5.2 - In Problems 9-12, match the solution region of...Ch. 5.2 - In Problems 9-12, match the solution region of...Ch. 5.2 - In Problems 9-12, match the solution region of...Ch. 5.2 - In Problems 9-12, match the solution region of...Ch. 5.2 - In Problems 13-16, solve each system of linear...Ch. 5.2 - In Problems 13-16, solve each system of linear...Ch. 5.2 - In Problems 13-16, solve each system of linear...Ch. 5.2 - In Problems 13-16, solve each system of linear...Ch. 5.2 - In Problems 17-20, match the solution region of...Ch. 5.2 - In Problems 17-20, match the solution region of...Ch. 5.2 - In Problems 17-20, match the solution region of...Ch. 5.2 - In Problems 17-20, match the solution region of...Ch. 5.2 - In Problems 21-28, is the solution region bounded...Ch. 5.2 - In Problems 21-28, is the solution region bounded...Ch. 5.2 - In Problems 21-28, is the solution region bounded...Ch. 5.2 - In Problems 21-28, is the solution region bounded...Ch. 5.2 - In Problems 21-28, is the solution region bounded...Ch. 5.2 - In Problems 21-28, is the solution region bounded...Ch. 5.2 - In Problems 21-28, is the solution region bounded...Ch. 5.2 - In Problems 21-28, is the solution region bounded...Ch. 5.2 - Solve the systems in Problems 29-38 graphically...Ch. 5.2 - Solve the systems in Problems 29-38 graphically...Ch. 5.2 - Solve the systems in Problems 29-38 graphically...Ch. 5.2 - Solve the systems in Problems 29-38 graphically...Ch. 5.2 - Solve the systems in Problems 29-38 graphically...Ch. 5.2 - Solve the systems in Problems 29-38 graphically...Ch. 5.2 - Solve the systems in Problems 29-38 graphically...Ch. 5.2 - Solve the systems in Problems 29-38 graphically...Ch. 5.2 - Solve the systems in Problems 29-38 graphically...Ch. 5.2 - Solve the systems in Problems 29-38 graphically...Ch. 5.2 - Solve the systems in Problems 39-48 graphically...Ch. 5.2 - Solve the systems in Problems 39-48 graphically...Ch. 5.2 - Solve the systems in Problems 39-48 graphically...Ch. 5.2 - \ Solve the systems in Problems 39-48 graphically...Ch. 5.2 - Solve the systems in Problems 39-48 graphically...Ch. 5.2 - Solve the systems in Problems 39-48 graphically...Ch. 5.2 - Solve the systems in Problems 39-48 graphically...Ch. 5.2 - Solve the systems in Problems 39-48 graphically...Ch. 5.2 - Solve the systems in Problems 39-48 graphically...Ch. 5.2 - Solve the systems in Problems 39-48 graphically...Ch. 5.2 - Problems 49 and 50 introduce an algebraic process...Ch. 5.2 - Problems 49 and 50 introduce an algebraic process...Ch. 5.2 - Water skis. A manufacturing company makes two...Ch. 5.2 - Furniture. A furniture manufacturing company...Ch. 5.2 - Water skis. Refer to Problem 51. The company makes...Ch. 5.2 - Furniture. Refer to Problem 52. The company makes...Ch. 5.2 - Plant food. A farmer can buy two types of plant...Ch. 5.2 - Nutrition. A dietician in a hospital is to arrange...Ch. 5.2 - Psychology. A psychologist uses two types of boxes...Ch. 5.3 - A manufacturing plant makes two types of...Ch. 5.3 - Refer to the feasible region S shown in Figure 3....Ch. 5.3 - In Example 2B we saw that there was no optimal...Ch. 5.3 - (A) Maximize and minimize z=4x+2y subject to the...Ch. 5.3 - A chicken farmer can buy a special food mix A at...Ch. 5.3 - In Problem 1-8, if necessary, review Theorem 1. In...Ch. 5.3 - In Problem 1-8, if necessary, review Theorem 1. In...Ch. 5.3 - In Problem 1-8, if necessary, review Theorem 1. In...Ch. 5.3 - In Problem 1-8, if necessary, review Theorem 1. In...Ch. 5.3 - In Problems 1-8, if necessary, review Theorem 1....Ch. 5.3 - In Problems 1-8, if necessary, review Theorem 1....Ch. 5.3 - In Problems 1-8, if necessary, review Theorem 1....Ch. 5.3 - In Problems 1-8, if necessary, review Theorem 1....Ch. 5.3 - In Problems 9-12, graph the constant-profit lines...Ch. 5.3 - In Problems 9-12, graph the constant-profit lines...Ch. 5.3 - In Problems 9-12, graph the constant-profit lines...Ch. 5.3 - In Problems 9-12, graph the constant-profit lines...Ch. 5.3 - In Problems 13-16, graph the constant-cost lines...Ch. 5.3 - In Problems 13-16, graph the constant-cost lines...Ch. 5.3 - In Problems 13-16, graph the constant-cost lines...Ch. 5.3 - In Problems 13-16, graph the constant-cost lines...Ch. 5.3 - Solve the linear programming problems stated in...Ch. 5.3 - Solve the linear programming problems stated in...Ch. 5.3 - Solve the linear programming problems stated in...Ch. 5.3 - Solve the linear programming problems stated in...Ch. 5.3 - Solve the linear programming problems stated in...Ch. 5.3 - Solve the linear programming problems stated in...Ch. 5.3 - Solve the linear programming problems stated in...Ch. 5.3 - Solve the linear programming problems stated in...Ch. 5.3 - Solve the linear programming problems stated in...Ch. 5.3 - Solve the linear programming problems stated in...Ch. 5.3 - Solve the linear programming problems stated in...Ch. 5.3 - Solve the linear programming problems stated in...Ch. 5.3 - Solve the linear programming problems stated in...Ch. 5.3 - Solve the linear programming problems stated in...Ch. 5.3 - Solve the linear programming problems stated in...Ch. 5.3 - Solve the linear programming problems stated in...Ch. 5.3 - Solve the linear programming problems stated in...Ch. 5.3 - Solve the linear programming problems stated in...Ch. 5.3 - Solve the linear programming problems stated in...Ch. 5.3 - Solve the linear programming problems stated in...Ch. 5.3 - Solve the linear programming problems stated in...Ch. 5.3 - Solve the linear programming problems stated in...Ch. 5.3 - In Problems 39 and 40, explain why Theorem 2...Ch. 5.3 - In Problems 39 and 40, explain why Theorem 2...Ch. 5.3 - Problems 41-48 refer to the bounded feasible...Ch. 5.3 - Problems 41-48 refer to the bounded feasible...Ch. 5.3 - Problems 41-48 refer to the bounded feasible...Ch. 5.3 - Problems 41-48 refer to the bounded feasible...Ch. 5.3 - Problems 41-48 refer to the bounded feasible...Ch. 5.3 - Problems 41-48 refer to the bounded feasible...Ch. 5.3 - Problems 41-48 refer to the bounded feasible...Ch. 5.3 - Problems 41-48 refer to the bounded feasible...Ch. 5.3 - In Problems 49-64, construct a mathematical model...Ch. 5.3 - In Problems 49-64, construct a mathematical model...Ch. 5.3 - In Problems 49-64, construct a mathematical model...Ch. 5.3 - In Problems 49-64, construct a mathematical model...Ch. 5.3 - In Problems 49-64, construct a mathematical model...Ch. 5.3 - In Problems 49-64, construct a mathematical model...Ch. 5.3 - In Problems 49-64, construct a mathematical model...Ch. 5.3 - In Problems 49-64, construct a mathematical model...Ch. 5.3 - In Problems 49-64, construct a mathematical model...Ch. 5.3 - In Problems 49-64, construct a mathematical model...Ch. 5.3 - In Problems 49-64, construct a mathematical model...Ch. 5.3 - In Problems 49-64, construct a mathematical model...Ch. 5.3 - In Problems 49-64, construct a mathematical model...Ch. 5.3 - In Problems 49-64, construct a mathematical model...Ch. 5.3 - In Problems 49-64, construct a mathematical model...Ch. 5.3 - In Problems 49-64, construct a mathematical model...Ch. 5 - Graph each inequality. x2y3Ch. 5 - Graph each inequality. 3y5x30Ch. 5 - Graph the systems in Problems 3-6 and indicate...Ch. 5 - Graph the systems in Problems 3-6 and indicate...Ch. 5 - Graph the systems in Problems 3-6 and indicate...Ch. 5 - Graph the systems in Problems 3-6 and indicate...Ch. 5 - In Exercises 7 and 8, state the linear inequality...Ch. 5 - In Exercises 7 and 8, state the linear inequality...Ch. 5 - Solve the linear programming problems in Problems...Ch. 5 - Solve the linear programming problems in Problems...Ch. 5 - Solve the linear programming problems in Problems...Ch. 5 - Solve the linear programming problems in Problems...Ch. 5 - Solve the linear programming problems in Problems...Ch. 5 - Electronics. A company uses two machines to solder...Ch. 5 - In problems 15 and 16, construct a mathematical...Ch. 5 - In problems 15 and 16, construct a mathematical...

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