Write a system of inequalities that describes the constraints on the number of each type of animal used in the experiment. (Let x represent the number of mice, and let y represent the number of rabbits.) environment I time constraint environment II time constraint x ≥ 0 experiment constraint, mice y ≥ 0 experiment constraint, rabbits (b) Graph the solution of the system of inequalities and find the corners of the solution region
Write a system of inequalities that describes the constraints on the number of each type of animal used in the experiment. (Let x represent the number of mice, and let y represent the number of rabbits.) environment I time constraint environment II time constraint x ≥ 0 experiment constraint, mice y ≥ 0 experiment constraint, rabbits (b) Graph the solution of the system of inequalities and find the corners of the solution region
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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An experiment that involves learning in animals requires placing white mice and rabbits into separate, controlled environments: environment I and environment II. The maximum amount of time available in environment I is 420 minutes, and the maximum amount of time available in environment II is 624 minutes. The white mice must spend 10 minutes in environment I and 24 minutes in environment II, and the rabbits must spend 12 minutes in environment I and 16 minutes in environment II.
(a)
Write a system of inequalities that describes the constraints on the number of each type of animal used in the experiment. (Let x represent the number of mice, and let y represent the number of rabbits.)
|
|
environment I time constraint | |
|
|
environment II time constraint | |
| x ≥ 0 | experiment constraint, mice | |
| y ≥ 0 | experiment constraint, rabbits |
(b)
Graph the solution of the system of inequalities and find the corners of the solution region.
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