THE COST OF 4KGS ONION 3KGS WHEAT AND 2KGS RICE IS RS 60 THE COST OF 2 KGS ONION 4 - Maths - Linear Programming

Question

THE COST OF 4KGS ONION 3KGS WHEAT AND 2KGS RICE IS RS 60 THE
COST OF 2 KGS ONION 4 KGS WHEAT AND 6KGS RICE IS RS 90 THE COST OF
6 KGS ONION 2 KGS WHEAT AND 3 KGS RICE IS RS 70 FIND THE COST OF
EACH ITEM PER KG BY MATRIX METHOD

S. Usha Rani · Accepted Answer

Let onion =x

wheat=y and rice = z

Then

4x+3y+2z=60

2x+4y+6z=90

6x+2y+3z=70

We can write this as

$A = [[\begin{matrix} 4 & 3 & 2 \\ 2 & 4 & 6 \\ 6 & 2 & 3 \end{matrix}]$

|A|= 4(12-12)-3(6-36)+2(4-24)=-3(-30)+2(-20)= 90-40=50

So x=5, y=8 and z=8

So x=5, y=8 and z=8

THE COST OF 4KGS ONION 3KGS WHEAT AND 2KGS RICE IS RS 60.THE COST OF 2 KGS ONION 4 KGS WHEAT AND 6KGS RICE IS RS 90 THE COST OF 6 KGS ONION 2 KGS WHEAT AND 3 KGS RICE IS RS 70.FIND THE COST OF EACH ITEM PER KG BY MATRIX METHOD