An Objective Function and a System of Linear Inequalities Representing

question 67

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.
- $$\begin{array} { l l } \text { Objective Function } & z = 6 x + 7 y \\\text { Constraints } & x \geq 0 \\& y \geq 0 \\& 2 x + 3 y \leq 12 \\& 2 x + y \leq 8\end{array}$$

• A)Maximum 32; at (3, 2)
• B)Maximum 32; at (2, 3)
• C)Maximum 52; at (4, 4)
• D)Maximum 24; at (4, 0)

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Definitions:

Ideology

A systematically interrelated set of beliefs whose primary function is explanation. It circumscribes thinking, making it difficult for the holder to escape from its mould.

Paradigm

A distinct set of concepts or thought patterns, including theories, research methods, postulates, and standards for what constitutes legitimate contributions to a field.

Acquiescent Response Set

Tendency to agree with items in an attitude questionnaire. This leads to an ambiguity in interpretation if a high score on an attitude questionnaire can be obtained only by agreeing with all or most items.

Mere Exposure Effect

A mental effect where people start liking things simply because they know them well.