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:

Zygote

The initial cell formed when a sperm cell fertilizes an egg cell, marking the beginning of a human's genetic makeup.

Placenta

An organ that develops in the uterus during pregnancy, providing oxygen and nutrients to the growing fetus while removing waste products from the fetus's blood.

Outer Cells

In developmental biology, refers to the cells on the outer layer of a developing embryo, which contribute to the formation of the placenta and other structures.

Embryo

An early stage of development in multicellular organisms after fertilization and before becoming a fetus, characterized by rapid cell division and differentiation.