Question

Feed	NEl (mcal/kg DM)	MP (kg/kg DM)	CA (g/kg dm)
feed 1	1.5	0.06	0.8
feed 2	1.2	0.1	0.7
feed 3	0.01	0.001	15

The animinal requirement for NEl is 30 mcal/d for mp is 2 kg/d and for ca is 50g/d

solve the system of equations and find the amounts of feed 1, feed 2, feed 3 that you would need to feed to exactly meet the animinal representation.

Answers: amount of feed 1:______ kg dm Feed 2: ______ kg dm Feed 3: ______ kg dm

Answer 1

Let amount of feed 1 be x kg-dm, feed 2 be y kg-dm, feed 3 be z kg-dm.

Then by condition we have,

1.5x+1.2y+0.01z = 30

150x+120y+z = 3000.........(i)

0.06x+0.1y+0.001z = 2

60x+100y+z = 2000..........(ii)

0.8x+0.7y+15z = 50

8x+7y+150z = 500...........(iii)

Subtracting (ii) from (i) we get, 90x+20y = 1000

i.e., 9x+2y = 100......(iv)

Multiplying (ii) by 150 and then subtracting from (iii) we get,

-8992x-14993y = -299500

i.e., 8992x+14993y = 299500.......(v)

Solving (iv) and (v) we get, x = 7.6979 and y = 15.3592

Putting this values in (ii) we get,

60*7.6979+100*15.3592+z = 2000

i.e., z = 2.206

Therefore, amount of feed 1: 7.70 kg-dm Feed 2: 15.36 kg-dm Feed 3: 2.21 kg-dm.