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2 cards from this section. Quick, good the night before a test.
What is a feasible region in linear programming?
Think about how constraints limit the options available.
Can an optimal solution exist outside the feasible region?
Consider what it means to 'violate' a constraint.
What does the feasible region represent in linear programming?
Recall what lines of inequalities define.
True or False: The optimal solution to a linear programming problem can lie anywhere in the feasible region.
Consider the behavior of linear functions in geometry.
Given the constraints 3x + 4y <= 12 and x + 2y <= 6, graph the region and calculate the optimal values of the objective function z = 2x + 3y.
Ensure all lines are graphed correctly to visualize intersections.
A production facility has limitations represented by x + 3y <= 15 and 4x + 3y <= 24. Determine the feasible region and the points of intersection.
Carefully check the slopes of your constraints to find accurate intersection points.
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