TWO FACTORIES DECIDED TO AWARD THEIR EMPLOYEES FOR THREE VALUES OF a) ADAPTABLE TO NEW TECHNIQUES b)CAREFUL AND ALERTIN DIFFICULT - Maths - Matrices

Question

TWO FACTORIES DECIDED TO AWARD THEIR EMPLOYEES FOR THREE VALUES
OF
a) ADAPTABLE TO NEW TECHNIQUES
b)CAREFUL AND ALERTIN DIFFICULT SITUATIONS and
c) KEEPING CALM IN TENSE SITUATIONS
AT THE RATE OF Rs x,Rs y,Rs z PER PERSON RESP
THE FIRST FACTORY DECIDED TO HONOUR RESP 2,3,4 EMOPLOYEES WITH A
TOTAL PRIZE MONEY OF Rs29000
THE SECOND FACTORY DECIDED TO HONOUR RESP 5,2,3 EMPLOYEES WITH THE
PRIZE MONEY OF Rs 30500 IF THE THREE PRIZES PER
PERSON TOGETHER COST Rs 9500THEN
i) represent the above situation by matrix equation and
form linear equation using matrix
multiplication
ii)solve these equation by matrix method
PLS HELP AND ALSO TELL WHTTHIS QUES ACTUALLY
MEANS!!!

Ashwini Kumar · Accepted Answer

According to question,2x+3y+4z=29000     
15x+2y+3z=30500     
2x+y+z=9500     
3From 1, 2 and 3 we get the matrix equation,234523111xyz=29000305009500⇒-2-102-10111xyz=-900020009500     R1→R1-4R3  and  R2→R2-3R3⇒-2-10-210111xyz=-9000-20009500       R2→-R2⇒-400-210301xyz=-11000-200011500       R1→R1+R2  and  R3→R3-R2⇒100-210301xyz=2750-200011500           R1→-14R1⇒100010001xyz=275035003250       R2→R2+2R1  and  R3→R3-3R1∴x= 2750, y= 3500 and z= 3250