Question 992430: can any one solve this question i tried but do not know where i am wrong?
A company produces three products each of which must be processed through three departments
DEPARTMENT X Y Z MONTHLY LABOR HOURS
A) 4 5 2 1600
B) 3 2 3 800
C) 1 4 2 1800
SUMMARIZE THE HOURS REQUIRED PER UNIT OF EACH PRODUCT.......
ITS URGENT KINDLY HELP ME....
Answer by josgarithmetic(39620)   (Show Source):
You can put this solution on YOUR website! What do the X, Y, Z numbers mean? Are you hoping to find unknown coefficients? What is the complete problem description and the complete question?
Okay, x, y, and z must be amounts of units for each of the three materials, and then the unknown coefficients would be rates for each material in hours per unit. You want to determine the unknown coefficients which would go with each of x, y, and z. Each of your three equations would be of a form  , and you have a system of three equations in the three unknowns, but what you want to find are values for a, b, and c. You are already given x, y, and z for each of the three equations.
The less advanced way to handle a solution is to use any one equation to eliminate a variable and then solve the simpler two-variable system; UNLESS you are expected to use elementary row reduction or reduced row-echelon form or something.
Your system as a matrix:
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Doing some of the work on paper, otherwise typing the matrix information and describing the process is very difficult.
I'm finding for ax+by+cz=d, while not completely finished,  and  . I went partway with matrix row operations and then resorted to use of an equation from one of the rows.
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