An Objective Function and a System of Linear Inequalities Representing

question 257

Multiple Choice

An objective function and a system of linear inequalities representing constraints are given. Graph the system of
inequalities representing the constraints. Find the value of the objective function at each corner of the graphed
region. Use these values to determine the maximum value of the objective function and the values of x and y for
which the maximum occurs.
C
-O

• A)maximum: 210; at (10, 5)
• B)maximum: 150; at (10, 0)
• C)maximum: 60; at (0, 5)
• D)maximum: 36; at (0, 3)

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Definitions:

Directional Selection

Outcome of natural selection in which an extreme phenotype is favored, usually in a changing environment.

Cladogram

In cladistics, a branching diagram that shows the relationship among species in regard to their shared derived characters.

Common Ancestor

An ancestral species from which two or more species evolved.

Natural Selection

The process by which organisms better adapted to their environment tend to survive and produce more offspring, a fundamental concept in evolutionary biology.