An Objective Function and a System of Linear Inequalities Representing

question 52

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
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• A)maximum 65.5; at (5.5, 4.5)
• B)maximum 60; at (6, 3)
• C)maximum 68; at (8, 2)
• D)maximum 66; at (6, 4)

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Definitions:

Ctenophores

Also known as comb jellies, are marine invertebrates distinguished by their eight rows of ciliary plates used for locomotion.

Cellular Slime Mold

A type of slime mold that exhibits unique behaviors such as aggregation of individual cells to form a multicellular organism under certain conditions.

Dictyostelium Discoides

Dictyostelium Discoides is a species of slime mold that is often used in research as a model organism for cellular processes.

Eukaryote

An organism whose cells contain a nucleus enclosed within membranes, distinct from prokaryotes, which lack such a nucleus.