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 coordinate - 1#4#5: (0, 500, 500) ------------------------ When x = 0 (x greater than or equal to zero), we get our fourth and fifth equation as 0.5(0)+y+0.2z=600 2.0(0)+3y+z=2000 y+0.2z = 600 3y+z = 2000 solving these two equations for y and z we get y = 500 and z = 500, so the coordinates are (0, 500, 500) -------------------------------- What is the calculation behind (0, 500, 500)? Need the breakdown on how from y+0.2z = 600 and 3y+z = 2000, the coordinates (0, 500, 500) came. 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 coordinate - 1#4#5: (0, 500, 500) ------------------------ When x = 0 (x greater than or equal to zero), we get our fourth and fifth equation as 0.5(0)+y+0.2z=600 2.0(0)+3y+z=2000 y+0.2z = 600 3y+z = 2000 solving these two equations for y and z we get y = 500 and z = 500, so the coordinates are (0, 500, 500) -------------------------------- What is the calculation behind (0, 500, 500)? Need the breakdown on how from y+0.2z = 600 and 3y+z = 2000, the coordinates (0, 500, 500) came. Thank you.
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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Question
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 coordinate -
1#4#5: (0, 500, 500)
------------------------
When x = 0 (x greater than or equal to zero), we get our fourth and fifth equation as
0.5(0)+y+0.2z=600
2.0(0)+3y+z=2000
y+0.2z = 600
3y+z = 2000
solving these two equations for y and z we get y = 500 and z = 500, so the coordinates are (0, 500, 500)
--------------------------------
What is the calculation behind (0, 500, 500)? Need the breakdown on how from y+0.2z = 600 and 3y+z = 2000, the coordinates (0, 500, 500) came.
Thank you.
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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