
2.7 Optimization with Linear Programming
Presentation
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Mathematics
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9th - 11th Grade
•
Medium
+1
Standards-aligned
Muraad Jawaada
Used 21+ times
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2 Slides • 6 Questions
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2.7 Optimization with Linear Programming
Wednesday, October 28 / 2020
2
Multiple Choice
Which inequality represents the situation?
3
4
Multiple Choice
Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the maximum and minimum values of the function for this region.
3 ≤ y ≤ 6
y ≤ 3x + 12
y ≤ -2x + 6
f(x , y) = 4x - 2y
A.) The maximum value is 0 at (0, 6). The minimum value is - 20 at (-3, 3).
B.) The maximum value is 0 at (-3, 3). The minimum value is - 20 at (0, 6).
C.) The maximum value is 0 at (-2, 6). The minimum value is - 20 at (1.5, 3).
D.) The maximum value is 0 at (1.5, 3). The minimum value is - 20 at (-2, 6).
5
Multiple Choice
Maximize P = 3x + y with the following constraints:
x+y ≤300
y ≥100
x ≤150
A.) x = 0, y = 300
B.) x = 150, y = 150
C.) x = 100, y 150
D.) x = 150, y = 100
6
Multiple Choice
Find the values of x and y that maximize the objective function P = 3x + 2y for the graph. What is the maximum value?
A.) maximum value at (5, 4); 23
B.) maximum value at (0, 8); 16
C.) maximum value at (9, 0); 27
D.) maximum value at (0, 0); 0
7
Multiple Choice
Given the objective function: P = 30x + 50y
Which vertex maximizes the profit?
A.) (0,0)
B.) (6,2)
C.) (8,0)
D.) (0,6)
8
Multiple Choice
In other words...what are the vertices of the feasible region?
A.) (0, 0), (0, 6), (6, 2), (8, 0)
B.) (0, 0), (6, 0), (2, 6), (0, 8)
2.7 Optimization with Linear Programming
Wednesday, October 28 / 2020
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