SOLUTION: can anyone solve this by Gaussian elimination PROCEDURE? A COMPANY PRODUCE 3 products each of which must be processed through three different departments. DEPARTMENT P X PY

Question 992354: can anyone solve this by Gaussian elimination PROCEDURE?
A COMPANY PRODUCE 3 products each of which must be processed through three different departments.
DEPARTMENT P X PY PZ HOURS AVAILABLE PER WEEK
A) 2 3.5 3 1200
B) 3 2.5 2 1150
C) 4 3 2 1400
SUMMARIZE THE HOURS REQUIRED PER UNIT OF EACH PRODUCT IN EACH DEPARTMENT?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A) 2 3.5 3 1200
B) 3 2.5 2 1150
C) 4 3 2 1400
-------
Subtract A from B and put that in row A
----
A 1 -1 -1 -50
B 2 3.5 3 1200
C 4 3 2 1400
----
Subtract 2*A from B ; Subtract 4*A from C
----
A 1 -1 -1 -50
B 0 5.5 5 1300
C 0 7 6 1600
------
Subtract B from C to get::
A 1 -1 -1 -50
B 0 5.5 5 1300
C 0 1.5 1 300
--------
Subtract 5*C from B ; Add C to A to get:
A 1 0.5 0 250
B 0 -2 0 -200
C 0 1.5 1 300
-------------
Solve row B for "Y"::
Y = 100
Solve row A for "X"
X + 50 = 250
X = 200
----
Solve for C for Z::
1.5*100 + C = 300
C = 150
-------
Cheers,
Stan H.
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Note:: These answers are correct.

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