Question

A farmer produces wheat and rice in the ratio 6:5. Another farmer produces wheat
and rice in the ratio 5: 9. Which farmer produces more wheat as compared to rice if
the first farmer produces 1331 kg of rice and the other farmer produces 1722 kg of
wheat.

please explain properly .​

Answer 1

Answer:

Let x hectares fro crop A and y hectares for crop B be allocated.

A B

x y 50 hectares

10500 9000 Profit

20 L/H 10 L/H 800 litres atmost

We need to maximize profit given by

Z=10500x+9000y subject to

x+y≤50

20x+10y≤800

x,y≥0

After plotting graph, the corner points are

Corner Point Value of Z

O(0,0)

A(40,0)

B(30,20)

C(0,50) Z=0

Z=420000

Z=315000+180000=495000

Z=450000

Maximum

Therefore, 30 hectares for crop A and 20 hectares for crop B.