Explanation Given: If the cutting time of foam is 5 minute and 6 minute for regular size and king size respectively and for cutting the foam, 50 labor per hour is available per day. Procedure used: To graph the linear inequality use the following steps. Step1 : First graph A x + B y = C , if the equality is not included in the original statement then the line will be a dashed line, and if the equality is included then it will be a solid line. Step2 : Choose a test point anywhere in the plane, not on the line (the origin ( 0 , 0 ) usually requires the least computation), and substitute the coordinates into the inequality. Step3 : Does the test point satisfy the original inequality. If so, shade the half plane that contains the test point. If not, shade the opposite half plane. Calculation: Let the number of regular mattress cut per day is to be x , and the number of king mattress cut per day is to should be y . Now, it is given that 50 labor work per hour in the company, then it can be written in inequality form as, 5 x + 6 y ≤ 3000 Since, the number of cutting of regular and king size mattress can never be negative, thus the above inequality will be subjected to negative restrictions as x ≥ 0 , y ≥ 0 . Now, the inequality will be solved using following steps. Step 1 : Consider the inequality 5 x + 6 y ≤ 3000 . The related equation of the above inequality is 5 x + 6 y = 3000 . Put x = 0 in the above related equation, 5 x + 6 y = 3000 5 ( 0 ) + 6 y = 3000 6 y = 3000 6 y 6 = 3000 6 y = 500 And, put y = 0 in the equation 5 x + 6 y = 3000 , 5 x + 6 y = 3000 5 x + 6 ( 0 ) = 3000 5 x =

Pearson eText for College Mathematics for Business, Economics, Life Sciences, and Social Sciences -- Instant Access (Pearson+)

14th Edition

ISBN: 9780137553341

Author: Raymond Barnett, Michael Ziegler

Publisher: PEARSON+

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Chapter 5.1, Problem 65E

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Express in terms of inequality, if number of king and regular size mattresses can be cut in one day, the cutting time of foam is 5 minute and 6 minute for regular size and king size respectively. Also draw the graph.

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Chapter 5.1, Problem 64E

Chapter 5.1, Problem 66E

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Pearson eText for College Mathematics for Business, Economics, Life Sciences, and Social Sciences -- Instant Access (Pearson+)

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. A psychologist uses two types of boxes...Ch. 5.3 - Sociology. A city council voted to conduct a study...Ch. 5 - Prob. 1RE Ch. 5 - Prob. 2RE Ch. 5 - Prob. 3RE Ch. 5 - Prob. 4RE Ch. 5 - Prob. 5RE Ch. 5 - Prob. 6RE Ch. 5 - Prob. 7RE Ch. 5 - Prob. 8RE Ch. 5 - Prob. 9RE Ch. 5 - Prob. 10RE Ch. 5 - Prob. 11RE Ch. 5 - Prob. 12RE Ch. 5 - Prob. 13RE Ch. 5 - Prob. 14RE Ch. 5 - In Problems 15 and 16, construct a mathematical...Ch. 5 - Prob. 16RE

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