(A) Explanation Given: The production of a standard and portable computers requires $400 and $250 for the labor of 40 hours and 30 hours, respectively. The firm has a capital of $20,000 for production and 2,160 labor-hours. Calculation: Consider x and y as the number of standard and portable computers produced by the firm, respectively. The maximum objective function is P = x + y . The capital requires for the production of standard and portable computers are $400 and $250 with maximum capital of $20,000, respectively. That is, 400 x + 250 y ≤ 20 , 000 . The labor-hour requires for the production of standard and portable computers are 40 and 30 with maximum hours of 2,160, respectively. That is, 40 x + 30 y ≤ 2 , 160 . Now draw the inequalities 400 x + 250 y ≤ 20 , 000 and 40 x + 30 y ≤ 2 , 160 and plot its corner points as shown in below Figure 1. From Figure 1, the shaded region is the solution set for the inequalities 400 x + 250 y ≤ 20 , 000 and 40 x + 30 y ≤ 2 , 160 for x , y ≥ 0 . Thus, the corner points on the feasible regions are ( 0 , 0 ) , ( 0 , 72 ) , ( 30 , 32 ) and ( 50 , 0 ) (B) To determine The maximum number of computers that the company is capable of producing.

16th Edition

ISBN: 9781323174869

Author: Barnett

Publisher: PEARSON EDUCATION (COLLEGE)

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Chapter 5.3, Problem 52E

(A)

To determine

The maximum number of computers that the company is capable of producing.

(B)

To determine

The maximum number of computers that the company is capable of producing.

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Chapter 5.3, Problem 51E

Chapter 5.3, Problem 53E

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Chapter 5 Solutions

COLLEGE MATH FOR MATH2040 RMU PKG

Ch. 5.1 - Graph 6x − 3y > 18. Ch. 5.1 - Prob. 2MP Ch. 5.1 - Prob. 3MP Ch. 5.1 - Prob. 4MP Ch. 5.1 - Prob. 1ED Ch. 5.1 - Prob. 1E Ch. 5.1 - Prob. 2E Ch. 5.1 - Prob. 3E Ch. 5.1 - Prob. 4E Ch. 5.1 - Prob. 5E

Ch. 5.1 - Prob. 6E Ch. 5.1 - Prob. 7E Ch. 5.1 - Prob. 8E Ch. 5.1 - Prob. 9E Ch. 5.1 - Prob. 10E Ch. 5.1 - Prob. 11E Ch. 5.1 - Prob. 12E Ch. 5.1 - Prob. 13E Ch. 5.1 - Graph each inequality in Problems 9–18. 14. y < 5 Ch. 5.1 - Prob. 15E Ch. 5.1 - Prob. 16E Ch. 5.1 - Prob. 17E Ch. 5.1 - Prob. 18E Ch. 5.1 - In Problems 19–22, graph the set of points that...Ch. 5.1 - Prob. 20E Ch. 5.1 - In Problems 19-22, graph the set of points that...Ch. 5.1 - Prob. 22E Ch. 5.1 - Prob. 23E 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 - Prob. 26E Ch. 5.1 - Prob. 27E Ch. 5.1 - Prob. 28E Ch. 5.1 - Prob. 29E Ch. 5.1 - Prob. 30E Ch. 5.1 - Prob. 31E Ch. 5.1 - Prob. 32E 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 - Prob. 36E Ch. 5.1 - Prob. 37E Ch. 5.1 - Prob. 38E 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 - Prob. 41E Ch. 5.1 - Prob. 42E Ch. 5.1 - Prob. 43E 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 - Prob. 46E Ch. 5.1 - In Problems 45–54, graph each inequality subject...Ch. 5.1 - Prob. 48E Ch. 5.1 - In Problems 45–54, graph each inequality subject...Ch. 5.1 - Prob. 50E Ch. 5.1 - Prob. 51E Ch. 5.1 - Prob. 52E Ch. 5.1 - Prob. 53E Ch. 5.1 - Prob. 54E Ch. 5.1 - Applications In Problems 55–66, express your...Ch. 5.1 - Prob. 56E Ch. 5.1 - Prob. 57E Ch. 5.1 - Prob. 58E Ch. 5.1 - Prob. 59E Ch. 5.1 - Prob. 60E Ch. 5.1 - Prob. 61E Ch. 5.1 - Prob. 62E Ch. 5.1 - Prob. 63E Ch. 5.1 - Prob. 64E Ch. 5.1 - Prob. 65E Ch. 5.1 - Prob. 66E Ch. 5.2 - Matched Problem 1 Solve the following system of...Ch. 5.2 - Prob. 2MP Ch. 5.2 - Prob. 3MP Ch. 5.2 - Prob. 1ED Ch. 5.2 - Prob. 1E Ch. 5.2 - Prob. 2E Ch. 5.2 - Prob. 3E Ch. 5.2 - Prob. 4E Ch. 5.2 - Prob. 5E Ch. 5.2 - Prob. 6E Ch. 5.2 - Prob. 7E Ch. 5.2 - Prob. 8E Ch. 5.2 - In Problems 9–12, match the solution region of...Ch. 5.2 - Prob. 10E Ch. 5.2 - Prob. 11E Ch. 5.2 - Prob. 12E Ch. 5.2 - Prob. 13E Ch. 5.2 - Prob. 14E Ch. 5.2 - Prob. 15E Ch. 5.2 - Prob. 16E Ch. 5.2 - In Problems 17–20, match the solution region of...Ch. 5.2 - Prob. 18E Ch. 5.2 - In Problems 17–20, match the solution region of...Ch. 5.2 - Prob. 20E Ch. 5.2 - Prob. 21E Ch. 5.2 - Prob. 22E Ch. 5.2 - Prob. 23E Ch. 5.2 - Prob. 24E Ch. 5.2 - Prob. 25E Ch. 5.2 - Prob. 26E Ch. 5.2 - Prob. 27E Ch. 5.2 - Prob. 28E Ch. 5.2 - Prob. 29E Ch. 5.2 - Prob. 30E Ch. 5.2 - Prob. 31E Ch. 5.2 - Prob. 32E Ch. 5.2 - Prob. 33E Ch. 5.2 - Prob. 34E Ch. 5.2 - Prob. 35E Ch. 5.2 - Prob. 36E Ch. 5.2 - Prob. 37E Ch. 5.2 - Prob. 38E Ch. 5.2 - Prob. 39E Ch. 5.2 - Prob. 40E Ch. 5.2 - Prob. 41E Ch. 5.2 - Prob. 42E Ch. 5.2 - Prob. 43E Ch. 5.2 - Prob. 44E Ch. 5.2 - Prob. 45E Ch. 5.2 - Prob. 46E Ch. 5.2 - Prob. 47E Ch. 5.2 - Prob. 48E Ch. 5.2 - Prob. 49E Ch. 5.2 - Prob. 50E Ch. 5.2 - Prob. 51E Ch. 5.2 - Prob. 52E Ch. 5.2 - Water skis. Refer to Problem 51. The company...Ch. 5.2 - Prob. 54E Ch. 5.2 - Prob. 55E Ch. 5.2 - Prob. 56E Ch. 5.2 - Psychology. A psychologist uses two types of boxes...Ch. 5.3 - A manufacturing plant makes two types of...Ch. 5.3 - Prob. 2MP Ch. 5.3 - Prob. 3MP Ch. 5.3 - Prob. 1ED Ch. 5.3 - Prob. 2ED Ch. 5.3 - Prob. 1E Ch. 5.3 - Prob. 2E Ch. 5.3 - Prob. 3E Ch. 5.3 - Prob. 4E Ch. 5.3 - Prob. 5E Ch. 5.3 - Prob. 6E Ch. 5.3 - Prob. 7E Ch. 5.3 - Prob. 8E Ch. 5.3 - Prob. 9E Ch. 5.3 - Prob. 10E Ch. 5.3 - Prob. 11E Ch. 5.3 - Prob. 12E Ch. 5.3 - Prob. 13E Ch. 5.3 - Prob. 14E Ch. 5.3 - Prob. 15E Ch. 5.3 - Prob. 16E Ch. 5.3 - Solve the linear programming problems stated in...Ch. 5.3 - Prob. 18E Ch. 5.3 - Prob. 19E Ch. 5.3 - Prob. 20E Ch. 5.3 - Prob. 21E Ch. 5.3 - Prob. 22E Ch. 5.3 - Prob. 23E Ch. 5.3 - Solve the linear programming problems stated in...Ch. 5.3 - Prob. 25E Ch. 5.3 - Solve the linear programming problems stated in...Ch. 5.3 - Prob. 27E Ch. 5.3 - Prob. 28E Ch. 5.3 - Prob. 29E Ch. 5.3 - Prob. 30E Ch. 5.3 - Prob. 31E Ch. 5.3 - Prob. 32E Ch. 5.3 - Prob. 33E Ch. 5.3 - Prob. 34E Ch. 5.3 - Prob. 35E Ch. 5.3 - Solve the linear programming problems stated in...Ch. 5.3 - Prob. 37E Ch. 5.3 - Prob. 38E 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 - Prob. 41E Ch. 5.3 - Prob. 42E Ch. 5.3 - Prob. 43E Ch. 5.3 - Prob. 44E Ch. 5.3 - Prob. 45E Ch. 5.3 - Prob. 46E Ch. 5.3 - Prob. 47E 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 - Prob. 50E Ch. 5.3 - In Problems 49–64, construct a mathematical model...Ch. 5.3 - Prob. 52E Ch. 5.3 - In Problems 49–64, construct a mathematical model...Ch. 5.3 - Prob. 54E Ch. 5.3 - In Problems 49–64, construct a mathematical model...Ch. 5.3 - Prob. 56E Ch. 5.3 - Prob. 57E Ch. 5.3 - Prob. 58E Ch. 5.3 - Prob. 59E Ch. 5.3 - Prob. 60E Ch. 5.3 - Prob. 61E Ch. 5.3 - Prob. 62E Ch. 5.3 - Psychology. 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