he company (from the previous example) producing training sets for basic operations with SMD components produces them in a total of 3 of its factories: New York factory, the Washington factory, and the HK factory. In total, the company will produce a total of 420 teaching sets. The New York factory will produce 50% more sets than the total production in Washington and HK combined, and the production in Washington factory is 10% higher than in HK factory. How many sets are produced in the individual production factories? The tutor published the attched solution(pic). Based on the  attached solution and the exercise description can you explain me how was the total production,constraints row was constructed  ?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 67P
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The company (from the previous example) producing training sets for basic operations with SMD components produces them in a total of 3 of its factories: New York factory, the Washington factory, and the HK factory.

In total, the company will produce a total of 420 teaching sets. The New York factory will produce 50% more sets than the total production in Washington and HK combined, and the production in Washington factory is 10% higher than in HK factory. How many sets are produced in the individual production factories?

The tutor published the attched solution(pic).

  1. Based on the  attached solution and the exercise description can you explain me how was the total production,constraints row was constructed  ?

 

total production contraint1
New York x1=1,5(x2+x3) contraint2
Washington x2=1,1x3 contraint3
System of linear equation
x1
Prague
3
1
0
x2
Liberec
1
-1.5
1
x3
HK
1
-1.5
-1.1
type
=
=
=
b
420
0
0
x1... pcs in New york
x2... pcs in Washington
x3... Pcs in HK
inverse matrix(Minverse)
3/11
2/21
2/23
New york
Washingto
Pcs
2/11 0
- 2/7
10/21
- 20/77 - 10/21
115
40
36
ks
ks
ks
new B (mmulti(inverse_matrix,b)
115
40
36
Transcribed Image Text:total production contraint1 New York x1=1,5(x2+x3) contraint2 Washington x2=1,1x3 contraint3 System of linear equation x1 Prague 3 1 0 x2 Liberec 1 -1.5 1 x3 HK 1 -1.5 -1.1 type = = = b 420 0 0 x1... pcs in New york x2... pcs in Washington x3... Pcs in HK inverse matrix(Minverse) 3/11 2/21 2/23 New york Washingto Pcs 2/11 0 - 2/7 10/21 - 20/77 - 10/21 115 40 36 ks ks ks new B (mmulti(inverse_matrix,b) 115 40 36
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