14th Edition

ISBN: 9780135988244

Author: Barnett

Publisher: PEARSON CO

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Chapter 6.4, Problem 33E

In Problems 33-38, construct a mathematical model in the form of a linear programming problem. (The answers in the back of the book for these application problems include the model). Then solve the problem using the big M method.

Advertising. An advertising company wants to attract new customers by placing a total of at most 10 ads in 3 newspapers. Each ad in the Sentinel costs $ 200 and will be read by 2 , 000 people. Each ad in the Journal costs $ 200 and will be read by 500 people. Each ad in the Tribune costs $100 and will be read by 1 , 500 people. The company wants at least 16 , 000 people to read its ads. How many ads should it place in each paper in order to minimize the advertising costs? What is the minimum cost?

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Chapter 6.4, Problem 32E

Chapter 6.4, Problem 34E

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2. Consider the ODE u' = ƒ (u) = u² + r where r is a parameter that can take the values r = −1, −0.5, -0.1, 0.1. For each value of r: (a) Sketch ƒ(u) = u² + r and determine the equilibrium points. (b) Draw the phase line. (d) Determine the stability of the equilibrium points. (d) Plot the direction field and some sample solutions,i.e., u(t) (e) Describe how location of the equilibrium points and their stability change as you increase the parameter r. (f) Using the matlab program phaseline.m generate a solution for each value of r and the initial condition u(0) = 0.9. Print and turn in your result for r = −1. Do not forget to add a figure caption. (g) In the matlab program phaseline.m set the initial condition to u(0) = 1.1 and simulate the ode over the time interval t = [0, 10] for different values of r. What happens? Why? You do not need to turn in a plot for (g), just describe what happens.

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Chapter 6 Solutions

EP FINITE MATH.F/BUS,ECON,LIFE..-ACCESS

Ch. 6.1 - The following linear programming problem has only...Ch. 6.1 - Use the table method to solve the following linear...Ch. 6.1 - Use the table method to solve the following linear...Ch. 6.1 - Refer to Example 1. Find the basic solution for...Ch. 6.1 - Construct the table of basic solutions and use it...Ch. 6.1 - Construct the table of basic solutions and use it...Ch. 6.1 - Refer to Table 5. For the basic solution...Ch. 6.1 - In Problems 1-8, evaluate the expression. (If...Ch. 6.1 - In Problems 1-8, evaluate the expression. (If...Ch. 6.1 - In Problems 1-8, evaluate the expression. (If...

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Solution Summary: The author calculates the minimum cost and number of ads that should be placed in each paper in order to minimize the cost of an advertising company that wants to attract new customers.

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