00:01
Hello students, to balance the ration we need to calculate the quantities of each ingredient required.
00:15
Let us start by determining the percentage of each ingredient in a final ration.
00:20
So assume x that is the percentage of corn in the ratio then y percentage of oats, z percentage of soya bean meal that is sbm in the ration then q percentage of dicalcium phosphate that is dical in the ration, w percentage of limestone.
01:07
We know the following total ration weight, protein requirement, then calcium requirement, phosphorus requirement and all other ingredient percentage.
01:17
So let us set up the equations to solve for the variables.
01:22
First of all protein equation that is 0 .075 x plus 0 .125 y plus 0 .488 z plus 0 q plus 0 w equal to 0 .17493.
01:48
So we will apply the values for x y z here.
01:56
Now second calcium equation 0 .02 x plus 0 .1 y plus 0 .25 z plus 24 .0 q plus 38 w is equal to 0 .00582.
02:23
Third phosphorus equation 0 .29 x plus 0 .44 y plus 0 .60 z plus 18 .5 q plus 0 w is equal to 0 .00485.
02:46
If we solve these equations we will get x is equal to that is an approximate value 48 .759 percentage y is equal to 15 .546 percentage z is equal to 35 .482 percentage q is equal to 0 percentage w is equal to 0 .213 percentage.
03:14
Now we can calculate the quantities in pounds per ton that is 2000 pounds for each ingredient.
03:22
For corn that is 0 .48759 into 2000 is equal to 975 .18 lbs.
03:39
Oats 0 .15546 into 2000 equal to 310 .92 lbs.
03:52
Then soybean meal 0 .35482 into 2000 equal to 709 .64 lbs...