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11th Edition

Ronald J. Harshbarger + 1 other

Publisher: Cengage Learning

ISBN: 9781305108042

Chapter 4.1, Problem 31E

Textbook Problem

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** Advertising** Apex Motors manufactures luxury cars and sport-utility vehicles. The most likely customers are high-income men and women, and company managers want to initiate an advertising campaign targeting these groups. They plan to run 1 -minute spots on business/investment programs, where they can reach 7 million women and 4 million men from their target groups. They also plan 1-minute spots during sporting events, where they can reach 2 million women and 12 million men from their target groups. Apex believes that the ads must reach at least 30 million women and at least 28 million men who are prospective customers.

(a) Write the inequalities that describe the constraints on the number of each type of 1-minute spots needed to reach these target groups.

(b) Graph the region determined by these constraint inequalities.

**(a)**

To determine

The system of inequalities which describes the constraints on the number of each type of 1–minute spots required to reach the target groups.

**Given Information:**

In an advertising campaign to target the most likely customers, Apex Motors which manufacturers luxury cars and sports-utility vehicles plans to run 1–minute spots on business/investment program through which

**Explanation:**

Consider the provided information,

First define the variables. The experiment involves two types of advertisements, finance programs and sports programs. So, define

The two constraints provided in the problem are the target that the ads much grasp at least

**(b)**

To determine

**To graph:** The region that describes the constraints on the number of each type of 1-minute spots required to reach the target groups.

Mathematical Applications for the Management, Life, and Social Sciences

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Ch. 4.1 - 1. Graph the region determined by the...Ch. 4.1 - 2. Determine the corners of the region.
Ch. 4.1 - In Problems 1-6, graph each inequality.
Ch. 4.1 - In Problems 1-6, graph each inequality.
2.
Ch. 4.1 - In Problems 1-6, graph each inequality.
3.
Ch. 4.1 - In Problems 1-6, graph each inequality.
4.
Ch. 4.1 - In Problems 1-6, graph each inequality.
5.
Ch. 4.1 - In Problems 1-6, graph each inequality.
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Ch. 4.1 - In Problems 7-12, the graph of the boundary...Ch. 4.1 - In Problems 7-12, the graph of the boundary...

Ch. 4.1 - In Problems 7-12, the graph of the boundary...Ch. 4.1 - In Problems 7-12, the graph of the boundary...Ch. 4.1 - In Problems 7-12, the graph of the boundary...Ch. 4.1 - In Problems 7-12, the graph of the boundary...Ch. 4.1 - In Problems 13-26, graph the solution of each...Ch. 4.1 - In Problems 13-26, graph the solution of each...Ch. 4.1 - In Problems 13-26, graph the solution of each...Ch. 4.1 - In Problems 13-26, graph the solution of each...Ch. 4.1 - In Problems 13-26, graph the solution of each...Ch. 4.1 - In Problems 13-26, graph the solution of each...Ch. 4.1 - In Problems 13-26, graph the solution of each...Ch. 4.1 - In Problems 13-26, graph the solution of each...Ch. 4.1 - In Problems 13-26, graph the solution of each...Ch. 4.1 - In Problems 13-26, graph the solution of each...Ch. 4.1 - In Problems 13-26, graph the solution of each...Ch. 4.1 - In Problems 13-26, graph the solution of each...Ch. 4.1 - In Problems 13-26, graph the solution of each...Ch. 4.1 - In Problems 13-26, graph the solution of each...Ch. 4.1 - 27. Management The Wellbuilt Company produces two...Ch. 4.1 - Learning environments An experiment that involves...Ch. 4.1 - 29. Manufacturing A company manufactures two types...Ch. 4.1 - 30. Manufacturing Sierra Wood Products...Ch. 4.1 - 31. Advertising Apex Motors manufactures luxury...Ch. 4.1 - Manufacturing The Video Star Company makes two...Ch. 4.1 - 33. Politics A candidate wants to use a...Ch. 4.1 - 34. Nutrition In a hospital ward, the patients can...Ch. 4.1 - 35. Manufacturing A sausage company makes two...Ch. 4.1 - 36. Manufacturing A cereal manufacturer makes two...Ch. 4.2 - 1. Find the maximum and minimum values of the...Ch. 4.2 - 2. 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Ch. 4.3 - 28. Maximize subject to
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(a) Form...Ch. 4.4 - In Problems 1-4, complete the following.
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11....Ch. 4.4 - Use the simplex method in Problems 11-14.
12....Ch. 4.4 - Use the simplex method in Problems 11-14.
13....Ch. 4.4 - Use the simplex method in Problems 11-14.
14....Ch. 4.4 - In Problems 15 and 16, a primal maximization...Ch. 4.4 - In Problems 15 and 16, a primal maximization...Ch. 4.4 - In Problems 17-20, use Excel or some other...Ch. 4.4 - In Problems 17-20, use Excel or some other...Ch. 4.4 - In Problems 17-20, use Excel or some other...Ch. 4.4 - In Problems 17-20, use Excel or some other...Ch. 4.4 - 21. Production scheduling CDF Appliances has...Ch. 4.4 - Manufacturing Nekita Corporation assembles cell...Ch. 4.4 - Manufacturing The Video Star Company makes two...Ch. 4.4 - 24. Nutrition A pork producer is considering two...Ch. 4.4 - 25. Production A small company produces two...Ch. 4.4 - 26. Nutrition In a hospital ward, the patients can...Ch. 4.4 - 27. Production Two factories produce three...Ch. 4.4 - 28. Nutrition In a laboratory experiment, two...Ch. 4.4 - 29. Politics A political candidate wants to use a...Ch. 4.4 - 30. 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If...Ch. 4 - Problems 20 and 21 have nonunique solutions. If...Ch. 4 - In Problems 22-25, form the dual and use the...Ch. 4 - In Problems 22-25, form the dual and use the...Ch. 4 - In Problems 22-25, form the dual and use the...Ch. 4 - In Problems 22-25, form the dual and use the...Ch. 4 - Problems 26 and 27 involve mixed constraints....Ch. 4 - Problems 26 and 27 involve mixed constraints....Ch. 4 - In Problems 28-35, use the simplex method. Assume...Ch. 4 - In Problems 28-35, use the simplex method. Assume...Ch. 4 - In Problems 28-35, use the simplex method. Assume...Ch. 4 - In Problems 28-35, use the simplex method. Assume...Ch. 4 - In Problems 28-35, use the simplex method. Assume...Ch. 4 - In Problems 28-35, use the simplex method. Assume...Ch. 4 - In Problems 28-35, use the simplex method. Assume...Ch. 4 - In Problems 28-35, use the simplex method. Assume...Ch. 4 - 36. Manufacturing A company manufactures backyard...Ch. 4 - 37. Production A company produces two different...Ch. 4 - 38. Manufacturing Chairco manufactures two types...Ch. 4 - 39. Production A small industry produces two...Ch. 4 - 40. Production Pinocchio Crafts makes two types of...Ch. 4 - Profit At its Jacksonville factory, Nolmaur...Ch. 4 - 42. Nutrition A nutritionist wants to find the...Ch. 4 - 43. Nutrition A laboratory technician wants to...Ch. 4 - 44. Production A company makes three products (I,...Ch. 4 - 45. Profit A company makes pancake mix and cake...Ch. 4 - 46. Manufacturing A company manufactures desks and...Ch. 4 - 47. Cost Armstrong Industries makes two different...Ch. 4 - 1. Maximize subject to the constraints determined...Ch. 4 - 2. Following are three simplex matrices in various...Ch. 4 - 3. Graph the solution region for each of the...Ch. 4 - 4. Formulate the dual maximization problem...Ch. 4 - 5. Find the maximum and minimum values of (if...Ch. 4 - 6. Use graphical methods to minimize subject to ,...Ch. 4 - 7. Express the following linear programming...Ch. 4 - 8. The final simplex matrix for a problem is as...Ch. 4 - 9. Use the simplex method to maximize .
Ch. 4 - 10. Use graphical methods to maximize subject...Ch. 4 - 11. Maximize subject to
Ch. 4 - 12. River Brewery is a microbrewery that produces...Ch. 4 - 13. A marketing research group conducting a...Ch. 4 - 14. Lawn Rich, Inc., makes four different lawn...

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