To determine To calculate: The number of parents and students should attend to raise the maximum amount of money in a theatre presenting a program for students and their parents on drinking and driving. Admission is $ 2.00 for parents and $ 1.00 for students. The constraints on the theatre are that the theatre can hold no more than 150 people and every two parents must bring at least one student. Explanation Given: The admission in a theatre is $ 2.00 for parents and $ 1.00 for students. The theatre has a maximum of 150 seats and every parent must bring at least one student. Calculation: To compute the number of each type of mountain bicycles to maximize the profit, use the two steps as follows: Consider x be the number of parents and y be the number of students. So, the admission fee for parents is $ 2.00 and students is $1. Thus, the objective function based on x and y is as shown below: z = 2 x + y According to the statement the inequality representing the first constraint is: the theatre cannot hold more than 150: Hence, the inequality representing constraint is shown below: x + y ≤ 150 According to the statement the inequality representing the second constraint is: two parents should bring at least 1 student: Hence, the inequality representing constraint is shown below: x y ≤ 2 1 x ≥ 2 y x − 2 y ≥ 0 Consider the first inequality constraint x + y ≤ 150 , to solve this take it as an equality x + y = 150 and compute the solutions by substituting values and the values are as follows: x 100 150 y 50 0 Now take ( 0 , 0 ) as a test point and put it in the inequality and if the inequality holds then shade the area towards test point

16th Edition

ISBN: 9781323142707

Author: Blitzer

Publisher: Pearson Custom Publishing

See similar textbooks

Videos

Question

Chapter 8.6, Problem 21E

To determine

To calculate: The number of parents and students should attend to raise the maximum amount of money in a theatre presenting a program for students and their parents on drinking and driving. Admission is $2.00 for parents and $1.00 for students. The constraints on the theatre are that the theatre can hold no more than 150 people and every two parents must bring at least one student.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 8.6, Problem 20E

Chapter 8.6, Problem 22E

Students have asked these similar questions

1) Express these large and small numbers from the Read and Study section in scientific notation: (a) 239,000 miles (b) 3,800,000,000,000 sheets of paper (c) 0.0000000000000000000000167 grams 2) Find all values for the variable x that make these equations true. (a) 5x = 1 (b) 3x = 1/1 9 (c) 4* = 11/ 4 (e) 4* = 64 (g) 10x = 1,000,000 (d) 3x=-3 (f) 2x = = 8 (h) 10x = 0.001

(b) 4) Find an equation to fit each of the following graphs: (a) 20 20 18 16 14 12 10 8 6 4 2 24 22 20 18 16 14 12 10 8 16 A 2 -3 -2 -1-0 2 3 4. -1 0 1 2 3. -2 -2

3) Which of the following are equivalent to 3? (There may be more than one that is equivalent!) -1 (a) (9)¯¹ 3. (b) (-3)-1 (c) (-3) -1 (d) -(¯3) (e) 11 3-1 (f) 3-4

Chapter 8 Solutions

ALGEBRA+TRIG.(LL)W/ACCESS<IP>

Knowledge Booster

$Algebra$

Learn more about

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