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:

Degenerative Disease

A type of illness that causes a decline in bodily functions, often resulting in the deterioration of cells, tissues, or organs over time.

Wear and Tear

A theory suggesting that the body deteriorates gradually due to accumulated damage from environmental factors, stress, and the metabolic processes.

Antioxidants

Molecules that inhibit oxidation, a chemical reaction that can produce free radicals, potentially leading to cell damage.

Heart Disease

A term covering a range of conditions that affect the heart, such as coronary artery disease, heart attacks, congestive heart failure, and congenital heart defects.