Consider the feasible set in the figure below with vertices O-A-B-C-D, where three of the boundary lines are labeled with their slopes. y m, = -1/4 We wish to maximize the objective function f(x, y) = 3x + 2y over the feasible set. B m2 = -1 a. Write the linear equation in slope-intercept form y = mx + b when the objective function takes the constant value f(x, y) = 2. feasible set m3 = - D x b. Find the point at which the given objective function is maximized over the feasible set.

Algebra for College Students
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Author:Jerome E. Kaufmann, Karen L. Schwitters
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Chapter12: Algebra Of Matrices
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Consider the feasible set in the figure below with vertices O-A-B-C-D, where three of the boundary lines are labeled with their slopes.
We wish to maximize the objective function f(x, y) = 3x + 2y over the feasible set.
m = -1/4
B
a. Write the linear equation in slope-intercept form y = mx + b when the objective function takes the constant value f(x, y) = 2.
m2 = -1
feasible set
m3 = -2
b. Find the point at which the given objective function is maximized over the feasible set.
D x
Transcribed Image Text:Consider the feasible set in the figure below with vertices O-A-B-C-D, where three of the boundary lines are labeled with their slopes. We wish to maximize the objective function f(x, y) = 3x + 2y over the feasible set. m = -1/4 B a. Write the linear equation in slope-intercept form y = mx + b when the objective function takes the constant value f(x, y) = 2. m2 = -1 feasible set m3 = -2 b. Find the point at which the given objective function is maximized over the feasible set. D x
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