CCMIII U2D3 Warmup hoice: Choose the best answer for each. x – (-38) ≥ -51 9 (b) x ≤ -13 (c) x ≤ 89 (d) x ≥ -13 6x ˃ 5x + 19 9 (b) x ≤ (c) x ≥ -19 (d) x ≥ 19 um of 2 consecutive odd integers is at most 12. What is the greatest (b) 5 (c) 7 (d) 9 -19 ribute playing cards for Lego acti
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CCMIII U2D3 Warmup Multiple Choice: Choose the best answer for each. 1. Solve x – (-38) ≥ -51 (a) x ≥ -89(b) x ≤ -13(c) x ≤ 89(d) x ≥ -13 2. Solve 6x ˃
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CCMIII U2D3 Warmup
Multiple Choice: Choose the best answer for each. 1. Solve x – (-38) ≥ -51 (a) x ≥ -89 (b) x ≤ -13 (c) x ≤ 89 (d) x ≥ -13 2. Solve 6x ˃ 5x + 19 (a) x ≤ 19 (b) x ≤ (c) x ≥ -19 (d) x ≥ 19 3. The sum of 2 consecutive odd integers is at most 12. What is the greatest integer? (a) 3 (b) 5 (c) 7 (d) 9
-19
Distribute playing cards for Lego activity
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Homework Check:
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M3U2D3 Linear Programming
OBJECTIVES:-Determine feasible regions pertaining to maximum and minimum conditions-Use geometric methods to solve multi – step problems
Linear Programming
Businesses use linear programming to find out how to maximize profit or minimize costs. Most have constraints on what they can use or buy.
The Lego Activity
The Lego Activity
# of tables# of chairs
16 10
The Lego Activity
2t c 12
2t 2c 16
2t + c < 12 2t + 2c < 16
t > 0 c > 0
The Lego Activity
The Lego Activity
4 Tables, 4 Chairs
Ex 1: Find the minimum and maximumvalue of the function f(x, y) = 3x - 2y.
We are given the constraints: y ≥ 2 1 ≤ x ≤5 y ≤ x + 3
Linear Programming
Find the minimum and maximum values by graphing the inequalities and finding the vertices of the polygon formed.
Substitute the vertices into the function and find the largest and smallest values.
6
4
2
2 3 4
3
1
1
5
5
7
8
y ≤ x + 3
y ≥ 2
1 ≤ x ≤5
Linear Programming
The vertices of the quadrilateral formed are:
(1, 2) (1, 4) (5, 2) (5, 8) Plug these points into the