Mathematical Applications for the Management, Life, and Social Sciences
Mathematical Applications for the Management, Life, and Social Sciences
12th Edition
ISBN: 9781337625340
Author: Ronald J. Harshbarger, James J. Reynolds
Publisher: Cengage Learning
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Textbook Question
Chapter 4, Problem 41RE

Profit At its Jacksonville factory, Nolmaur Electronics manufactures 4 models of TV sets: LCD models in 32-, 42-, and 50-in. sizes and a 65-in. plasma model. The manufacturing and testing hours required for each model and available at the factory each week, as well as each model’s profit, are shown in the following table.

32-in.LCD 42-in.LCD 50-in.LCD 65-in.Plasma AvailableHours
Manufacturing(hr) 8 10 12 15 1870
Testing (hr) 2 4 4 4 530
Profit $80 $120 $160 $200

In addition, the supplier of the amplifier units can provide at most 200 units per week with at most 100 for the 50- and 65-in. models. The weekly demand for the 42-in. sets is at most 120. Nolmaur wants to determine the number of each type of set that should be produced each week to obtain maximum profit.

(a) Identify the variables for Nolmaur’s linear programming problem.

(b) State Nolmaur's linear programming problem.

(c) Solve this linear programming problem to determine Nolmaur's manufacturing plan and maximum profit.

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Chapter 4 Solutions

Mathematical Applications for the Management, Life, and Social Sciences

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 - Prob. 15ECh. 4.1 - In Problems 13-26, graph the solution of each...Ch. 4.1 - Prob. 17ECh. 4.1 - Prob. 18ECh. 4.1 - In Problems 13-26, graph the solution of each...Ch. 4.1 - Prob. 20ECh. 4.1 - Prob. 21ECh. 4.1 - In Problems 13-26, graph the solution of each...Ch. 4.1 - Prob. 23ECh. 4.1 - Prob. 24ECh. 4.1 - Prob. 25ECh. 4.1 - In Problems 13-26, graph the solution of each...Ch. 4.1 - 27. Management The Wellbuilt Company produces two...Ch. 4.1 - 28. Learning environments An experiment that...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 - 32. Manufacturing The Digital Star Company makes...Ch. 4.1 - 33. Politics A candidate wants to use a...Ch. 4.1 - Prob. 34ECh. 4.1 - Prob. 35ECh. 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. Find the maximum and minimum values (if they...Ch. 4.2 - In Problems 1-4, use the given feasible region...Ch. 4.2 - In Problems 1-4, use the given feasible region...Ch. 4.2 - In Problems 1-4, use the given feasible region...Ch. 4.2 - In Problems 1-4, use the given feasible region...Ch. 4.2 - In Problems 5-8, the graph of the feasible region...Ch. 4.2 - In Problems 5-8, the graph of the feasible region...Ch. 4.2 - In Problems 5-8, the graph of the feasible region...Ch. 4.2 - In Problems 5-8, the graph of the feasible region...Ch. 4.2 - In Problems 9-12, find the indicated maximum or...Ch. 4.2 - Prob. 10ECh. 4.2 - In Problems 9-12, find the indicated maximum or...Ch. 4.2 - In Problems 9-12, find the indicated maximum or...Ch. 4.2 - In Problems 13-24, solve the following linear...Ch. 4.2 - Prob. 14ECh. 4.2 - In Problems 13-24, solve the following linear...Ch. 4.2 - Prob. 16ECh. 4.2 - In Problems 13-24, solve the following linear...Ch. 4.2 - Prob. 18ECh. 4.2 - Prob. 19ECh. 4.2 - Prob. 20ECh. 4.2 - Prob. 21ECh. 4.2 - In Problems 13-24, solve the following linear...Ch. 4.2 - In Problems 13-24, solve the following linear...Ch. 4.2 - In Problems 13-24, solve the following linear...Ch. 4.2 - 25. Manufacturing The Wellbuilt Company produces...Ch. 4.2 - 26. Learning environments An experiment involving...Ch. 4.2 - 27. Manufacturing A company manufactures two types...Ch. 4.2 - 28. Manufacturing Sierra Wood Products...Ch. 4.2 - 29. Politics A candidate wants to use a...Ch. 4.2 - 30. Nutrition In a hospital ward, the patients can...Ch. 4.2 - 31. Production scheduling Newjet, Inc....Ch. 4.2 - 32. Production scheduling At one of its factories,...Ch. 4.2 - 33. Nutrition A privately owned lake contains two...Ch. 4.2 - 34. Nutrition In a zoo, there is a natural habitat...Ch. 4.2 - Shadow prices—land management For Problems 35 and...Ch. 4.2 - Shadow prices—land management For Problems 35 and...Ch. 4.2 - 37. Manufacturing Two factories produce three...Ch. 4.2 - 38. Nutrition In a laboratory experiment, two...Ch. 4.2 - 39. Manufacturing The Janie Gioffre Drapery...Ch. 4.2 - 40. Nutrition Two foods contain proteins,...Ch. 4.2 - 41. Manufacturing A sausage company makes two...Ch. 4.2 - 42. Manufacturing A cereal manufacturer makes two...Ch. 4.2 - 43. Shipping costs TV Circuit has 30 large-screen...Ch. 4.2 - 44. Construction A contractor builds two types of...Ch. 4.2 - 45. Management A bank has two types of branches. A...Ch. 4.2 - 46. Manufacturing A company manufactures two...Ch. 4.3 - 1. Write the following constraints as equations by...Ch. 4.3 - Prob. 2CPCh. 4.3 - Prob. 3CPCh. 4.3 - Prob. 4CPCh. 4.3 - Prob. 5CPCh. 4.3 - Prob. 6CPCh. 4.3 - Prob. 1ECh. 4.3 - Prob. 2ECh. 4.3 - Prob. 3ECh. 4.3 - Prob. 4ECh. 4.3 - Prob. 5ECh. 4.3 - Prob. 6ECh. 4.3 - Prob. 7ECh. 4.3 - Prob. 8ECh. 4.3 - In Problems 7-10, a simplex matrix is given in...Ch. 4.3 - Prob. 10ECh. 4.3 - Prob. 11ECh. 4.3 - Prob. 12ECh. 4.3 - Prob. 13ECh. 4.3 - Prob. 14ECh. 4.3 - Prob. 15ECh. 4.3 - In Problems 11-18, a simplex matrix for a standard...Ch. 4.3 - Prob. 17ECh. 4.3 - Prob. 18ECh. 4.3 - Prob. 19ECh. 4.3 - Prob. 20ECh. 4.3 - Prob. 21ECh. 4.3 - Prob. 22ECh. 4.3 - Prob. 23ECh. 4.3 - Prob. 24ECh. 4.3 - Prob. 25ECh. 4.3 - Prob. 26ECh. 4.3 - Prob. 27ECh. 4.3 - 28. Maximize subject to Ch. 4.3 - Prob. 29ECh. 4.3 - Prob. 30ECh. 4.3 - Problems 31-38 involve linear programming problems...Ch. 4.3 - Problems 31-38 involve linear programming problems...Ch. 4.3 - Prob. 33ECh. 4.3 - Prob. 34ECh. 4.3 - Prob. 35ECh. 4.3 - In Problems 35-38, use the simplex method to...Ch. 4.3 - Prob. 37ECh. 4.3 - Prob. 38ECh. 4.3 - 39. Manufacturing Q-RAM Inc. manufactures...Ch. 4.3 - 40. Construction A contractor builds two types of...Ch. 4.3 - 41. Production scheduling At one of its factories,...Ch. 4.3 - 42. Budget utilization A car rental agency has a...Ch. 4.3 - 43. Production scheduling Happy Valley Ice Cream...Ch. 4.3 - 44. Experimentation An experiment involves placing...Ch. 4.3 - Problems 45-48 involve three variables. Solve them...Ch. 4.3 - Problems 45-48 involve three variables. Solve...Ch. 4.3 - Problems 45-48 involve three variables. Solve...Ch. 4.3 - Problems 45-48 involve three variables. Solve...Ch. 4.3 - In Problems 49-54, use Excel to solve each linear...Ch. 4.3 - In Problems 49-54, use Excel to solve each linear...Ch. 4.3 - Prob. 51ECh. 4.3 - In Problems 49-54, use Excel to solve each linear...Ch. 4.3 - In Problems 49-54, use Excel to solve each linear...Ch. 4.3 - In Problems 49-54, use Excel to solve each linear...Ch. 4.4 - Perform the following steps to begin the process...Ch. 4.4 - Prob. 2CPCh. 4.4 - Prob. 3CPCh. 4.4 - Prob. 4CPCh. 4.4 - Prob. 5CPCh. 4.4 - Prob. 1ECh. 4.4 - Prob. 2ECh. 4.4 - Prob. 3ECh. 4.4 - Prob. 4ECh. 4.4 - In Problems 5 and 6, suppose a primal minimization...Ch. 4.4 - Prob. 6ECh. 4.4 - In Problems 7-10, write the dual maximization...Ch. 4.4 - Prob. 8ECh. 4.4 - Prob. 9ECh. 4.4 - In Problems 7-10, write the dual maximization...Ch. 4.4 - Prob. 11ECh. 4.4 - Prob. 12ECh. 4.4 - Prob. 13ECh. 4.4 - Prob. 14ECh. 4.4 - Prob. 15ECh. 4.4 - Prob. 16ECh. 4.4 - Prob. 17ECh. 4.4 - In Problems 17-20, use Excel or some other...Ch. 4.4 - Prob. 19ECh. 4.4 - Prob. 20ECh. 4.4 - 21. Production scheduling CDF Appliances has...Ch. 4.4 - 22. Manufacturing Nekita Corporation assembles...Ch. 4.4 - 23. Manufacturing The Digital Star Company makes...Ch. 4.4 - Prob. 24ECh. 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 - Prob. 29ECh. 4.4 - Prob. 30ECh. 4.4 - Prob. 31ECh. 4.4 - In Problems 31-36, use the simplex method, Excel,...Ch. 4.4 - Prob. 33ECh. 4.4 - In Problems 31-36, use the simplex method, Excel,...Ch. 4.5 - Prob. 1CPCh. 4.5 - 2. Using the matrix from Problem 1, find the...Ch. 4.5 - Prob. 1ECh. 4.5 - Prob. 2ECh. 4.5 - Prob. 3ECh. 4.5 - Prob. 4ECh. 4.5 - Prob. 5ECh. 4.5 - Prob. 6ECh. 4.5 - Prob. 7ECh. 4.5 - Prob. 8ECh. 4.5 - Prob. 9ECh. 4.5 - Prob. 10ECh. 4.5 - Prob. 11ECh. 4.5 - Prob. 12ECh. 4.5 - Prob. 13ECh. 4.5 - Prob. 14ECh. 4.5 - Prob. 15ECh. 4.5 - Prob. 16ECh. 4.5 - Prob. 17ECh. 4.5 - Prob. 18ECh. 4.5 - Prob. 19ECh. 4.5 - Prob. 20ECh. 4.5 - Prob. 21ECh. 4.5 - In Problems 19-26, use the simplex method or...Ch. 4.5 - Prob. 23ECh. 4.5 - Prob. 24ECh. 4.5 - Prob. 25ECh. 4.5 - Prob. 26ECh. 4.5 - Problems 27-30 involve maximization with mixed...Ch. 4.5 - Prob. 28ECh. 4.5 - Problems 27-30 involve maximization with mixed...Ch. 4.5 - Problems 27-30 involve maximization with mixed...Ch. 4.5 - Problems 31-36 involve minimization with mixed...Ch. 4.5 - Problems 31-36 involve minimization with mixed...Ch. 4.5 - Prob. 33ECh. 4.5 - Prob. 34ECh. 4.5 - Problems 31-36 involve minimization with mixed...Ch. 4.5 - Problems 31-36 involve minimization with mixed...Ch. 4.5 - In Problems 37 and 38, use Excel or some other...Ch. 4.5 - Prob. 38ECh. 4 - In Problems 1-4, use the given feasible region...Ch. 4 - Prob. 2RECh. 4 - Prob. 3RECh. 4 - Prob. 4RECh. 4 - In Problems 5-8, a function and the graph of a...Ch. 4 - Prob. 6RECh. 4 - Prob. 7RECh. 4 - In Problems 5-8, a function and the graph of a...Ch. 4 - Prob. 9RECh. 4 - Prob. 10RECh. 4 - Prob. 11RECh. 4 - In Problems 9-15, solve the linear programming...Ch. 4 - Prob. 13RECh. 4 - In Problems 9-15, solve the linear programming...Ch. 4 - Prob. 15RECh. 4 - In Problems 16-19, use the simplex method to solve...Ch. 4 - Prob. 17RECh. 4 - Prob. 18RECh. 4 - Prob. 19RECh. 4 - Prob. 20RECh. 4 - Prob. 21RECh. 4 - Prob. 22RECh. 4 - Prob. 23RECh. 4 - Prob. 24RECh. 4 - In Problems 22-25, form the dual and use the...Ch. 4 - Prob. 26RECh. 4 - Prob. 27RECh. 4 - Prob. 28RECh. 4 - In Problems 28-35, use the simplex method. Assume...Ch. 4 - Prob. 30RECh. 4 - Prob. 31RECh. 4 - Prob. 32RECh. 4 - Prob. 33RECh. 4 - Prob. 34RECh. 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 - Prob. 39RECh. 4 - 40. Production Pinocchio Crafts makes two types of...Ch. 4 - 41. 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 - Prob. 46RECh. 4 - Prob. 47RECh. 4 - Prob. 1TCh. 4 - Prob. 2TCh. 4 - Prob. 3TCh. 4 - Prob. 4TCh. 4 - Prob. 5TCh. 4 - Prob. 6TCh. 4 - Prob. 7TCh. 4 - Prob. 8TCh. 4 - Prob. 9TCh. 4 - Prob. 10TCh. 4 - Prob. 11TCh. 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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