a.
To find: linear inequality for x and y that could be baked in 8 hour shift.
a.
Answer to Problem 23E
Explanation of Solution
Given information:
Number of batches of chocolate cookies = x
Number of batches of vanilla cookies = y
Baking timing for x = 8 minutes
Baking timing for y = 10 minutes
Calculation:
Convert 8 hours into minutes as follows:
The time taken to bake x and y is 480 minutes.
Therefore, the inequality will be
b.
To graph: the inequality.
b.
Explanation of Solution
Given information:
Calculation:
Rearrange the inequality in terms of y as follows:
Create a table by plugging the different values x in the line equation
| |
| 80 |
| 64 |
0 | 48 |
20 | 32 |
40 | 16 |
60 | 0 |
80 | 16 |
Since the inequality has greater than or equal to sign
Put the test points
Test point
| Inequality,
| True/False test point |
| | True |
| | False |
The graph for the given inequality is shown below.
c.
To find: the three combinations of x and y for which the inequality is satisfied.
c.
Answer to Problem 23E
Explanation of Solution
Given information:
Number of batches of chocolate cookies = x
Number of batches of vanilla cookies = y
Baking timing for x = 8 minutes
Baking timing for y = 10 minutes
The inequality found in (a) is
Calculation:
Make a table by substituting three different values of x and evaluate the value of y from
x | y |
0 | 48 |
10 | 40 |
60 | 0 |
Therefore, the three combinations satisfying the inequality are
d.
To find: how the given problems are solved.
d.
Answer to Problem 23E
By using complex computer programs and system of inequalities.
Explanation of Solution
Given information:
Manufacture’s production problem is how much each product should be assigned to each machine. It involves as many as 150 products, 218 facilities, 10 plants and 127 customer zones.
Calculation:
Manufacture’s production problem can be solved by using complex computer programs and system of inequalities.
Chapter 1 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
Precalculus (10th Edition)
University Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (2nd Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning