Find the Maximum or Minimum Value of the Given Objective

question 292

Multiple Choice

Find the maximum or minimum value of the given objective function of a linear programming problem. The figure
illustrates the graph of the feasible points.
-z = 2x + 3y. Find maximum and minimum.

• A)maximum value: 37; minimum value: 4
• B)maximum value: 37; minimum value: 6
• C)maximum value: 19; minimum value: 4
• D)maximum value: 19; minimum value: 6

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Definitions:

System of Equations

A set of two or more equations with the same variables, intended to be solved together.

Graph Equations

The process of plotting points or drawing curves on a coordinate plane to represent solutions of equations.

Graph Equations

The process of plotting solutions to an equation on a coordinate plane to visualize the relationship between variables.

System of Equations

A set of two or more equations with the same variables, where the solution is the set of values that satisfy all equations simultaneously.