Explanation Given: Food M contains 30 units of calcium, 10 units of iron, 10 units of vitamin A and 8 units of cholesterol on each ounce of food. Food N contains 10 units of calcium, 10 units of iron, 30 units of vitamin A and 4 units of cholesterol on each amount of ounces. Minimum requirement are 360 units of calcium, 160 units of iron and 240 units of vitamin A. Calculation: Consider x and y as the number ounces of food M and food N . Food M and food N contains 8 units and 4 units of cholesterol, respectively. Then the minimized cholesterol intake function is z = 8 x + 4 y . Food M and food N contains 30 units and 10 units of calcium, respectively in the minimum requirement of 360 units of calcium. That is, 30 x + 10 y ≥ 360 . Similarly, both food M and food N contains 10 units of iron in the minimum requirement of 160 units of iron. That is, 10 x + 10 y ≥ 160 . And food M and food N contains 10 units and 30 units of vitamin A, respectively in the minimum requirement of 240 units of vitamin A. That is, 10 x + 30 y ≥ 240 . Now draw the inequalities 30 x + 10 y ≥ 360 , 10 x + 10 y ≥ 160 and 10 x + 30 y ≥ 240 and plot its corner points as shown in below Figure 1. From Figure 1, the shaded region is the solution set for the inequalities 30 x + 10 y ≥ 360 , 10 x + 10 y ≥ 160 and 10 x + 30 y ≥ 240 for x , y ≥ 0 . Thus, the corner points on the feasible regions are ( 0 , 36 ) , ( 10 , 6 ) , ( 12 , 4 ) and ( 24 , 0 )

College Mathematics for Business, Economics, Life Sciences, and Social Sciences (14th Edition)

14th Edition

ISBN: 9780134674148

Author: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen, Christopher J. Stocker

Publisher: PEARSON

See similar textbooks

Videos

Question

Chapter 5.3, Problem 60E

To determine

Minimized amount of each food needed for the requirements at the low cost with cholesterol intake and the minimized cholesterol intake.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 5.3, Problem 59E

Chapter 5.3, Problem 61E

Students have asked these similar questions

1. e² = 1+i. 2. cos z=3+ 4i Determine all complex numbers z such that

08:34 ◄ Classroom 07:59 Probs. 5-32/33 D ا. 89 5-34. Determine the horizontal and vertical components of reaction at the pin A and the normal force at the smooth peg B on the member. A 0,4 m 0.4 m Prob. 5-34 F=600 N fr th ar 0. 163586 5-37. The wooden plank resting between the buildings deflects slightly when it supports the 50-kg boy. This deflection causes a triangular distribution of load at its ends. having maximum intensities of w, and wg. Determine w and wg. each measured in N/m. when the boy is standing 3 m from one end as shown. Neglect the mass of the plank. 0.45 m 3 m

Chapter 4 Quiz 2 As always, show your work. 1) FindΘgivencscΘ=1.045. 2) Find Θ given sec Θ = 4.213. 3) Find Θ given cot Θ = 0.579. Solve the following three right triangles. B 21.0 34.6° ca 52.5 4)c 26° 5) A b 6) B 84.0 a 42° b

Chapter 5 Solutions

College Mathematics for Business, Economics, Life Sciences, and Social Sciences (14th Edition)

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

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.