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Based on the following: i: x ≥0 ii: y ≥0 iii: z ≥0 iv: 0.5x + y + 0.2x ≥ 600 v: 2.0x + 3y + z ≤ 2000 I am confused how one gets the following coordinates from - 1#4#5: (0, 500, 500) 3#4#5: (400, 400, 0) Note: this is from system of inequalities (linear programming) Thank you

Based on the following: i: x ≥0 ii: y ≥0 iii: z ≥0 iv: 0.5x + y + 0.2x ≥ 600 v: 2.0x + 3y + z ≤ 2000 I am confused how one gets the following coordinates from - 1#4#5: (0, 500, 500) 3#4#5: (400, 400, 0) Note: this is from system of inequalities (linear programming) Thank you

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Based on the following:
i: x ≥0
ii: y ≥0
iii: z ≥0
iv: 0.5x + y + 0.2x ≥ 600
v: 2.0x + 3y + z ≤ 2000

I am confused how one gets the following coordinates from -

1#4#5: (0, 500, 500)
3#4#5: (400, 400, 0)

Note: this is from system of inequalities (linear programming)

Thank you

TABLE 4-3 Corner Co-ordinates Check 0 - z+ 4y +3z 142#3 1#244 1#245 1434 1#3#5 14445 243#4 2#3#5 244#5 3#445 (0, 0, 0) (0, 0, 3,000) (0, 0, 2,000) (0, 600, 0) (0, 2,000/3, 0) (0, 500, 500) (1,200, 0, 0) (1,000, 0, 0) (2,000, 0, -2,000) (400, 400, 0) No No No Yes Yes Yes No No No Yes 2,400 8,000/3 3,500 2,000* • Indicates the minimum.
Transcribed Image Text:TABLE 4-3 Corner Co-ordinates Check 0 - z+ 4y +3z 142#3 1#244 1#245 1434 1#3#5 14445 243#4 2#3#5 244#5 3#445 (0, 0, 0) (0, 0, 3,000) (0, 0, 2,000) (0, 600, 0) (0, 2,000/3, 0) (0, 500, 500) (1,200, 0, 0) (1,000, 0, 0) (2,000, 0, -2,000) (400, 400, 0) No No No Yes Yes Yes No No No Yes 2,400 8,000/3 3,500 2,000* • Indicates the minimum.
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