3.3 Optimization
Presentation
•
Mathematics
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10th - 12th Grade
•
Hard
Robert Krauss
Used 6+ times
FREE Resource
22 Slides • 5 Questions
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3.3 Optimization
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Multiple Choice
Solve the system of inequalities by graphing.
x ≤ 2
y > 3
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Multiple Choice
Solve the system of inequalities by graphing.
y ≤ 3x + 2
y > –x
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Multiple Choice
Graph the following system of inequalities. What are the maximum and minimum values of the function f(x, y) = 4x – 3y for the feasible region of the graph?
x ≤ 4 y ≤ 5 x + y ≥ 6
maximum: f(4, 5) = 5
minimum: f(1, 5) = –11
maximum: f(4, 2) = 10
minimum: f(1, 5) = –11
maximum: f(4, 2) = 10
minimum: f(4, 5) = 5
maximum: f(1, 5) = –11
minimum: f(4, 2) = 10
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Multiple Choice
Graph the following system of inequalities. What are the maximum and minimum values of the function f(x, y) = x + 2y for the feasible region of the graph?
x + 3y ≤ 6
–x – 3y ≤ 9
2y – x ≥ –6
maximum: no maximum
minimum: f(6, 0) = 6
maximum: f(6, 0) = 6
minimum: f(0, –3) = –6
maximum: f(6, 0) = 6
minimum: no minimum
maximum: no maximum
minimum: f(0, –3) = –6
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Multiple Choice
What is a combination of raking leaves and mulching that will maximize the income the company receives per day from one of its crews?
0 mulching; 2 raking
4 mulching; 0 raking
0 mulching; 4 raking
2 mulching; 0 raking
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3.3 Optimization
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