Final answer:
The Pearson Square method is used to determine the correct proportions of ingredients to achieve a desired protein level in a feed ration. Option C. 1200 lbs of corn and 800 lbs of soybean meal will provide a feed ration with a crude protein content of 18%.
Step-by-step explanation:
The Pearson Square method is a technique used to determine the correct proportions of two ingredients to achieve a desired protein level in a feed ration. In this case, we want to end up with a 2000 lbs 18% protein feed for a growing feeder pig. The corn has a crude protein value of 8.9% and the soybean meal has a crude protein value of 44.4%.
To use the Pearson Square method, we set up a proportion:
[Amount of corn] / [Total weight of feed] = [Crude protein content of corn] / [Desired protein content]
Using the same setup for soybean meal:
[Amount of soybean meal] / [Total weight of feed] = [Crude protein content of soybean meal] / [Desired protein content]
Now, we can solve for the unknown values:
a. 800 lbs of corn and 1200 lbs of soybean meal
b. 1000 lbs of corn and 1000 lbs of soybean meal
c. 1200 lbs of corn and 800 lbs of soybean meal
d. 1400 lbs of corn and 600 lbs of soybean meal
By plugging in the values, we can calculate the protein content of each option:
- a. (800 / 2000) = (0.089 / 0.18) → 0.4
- b. (1000 / 2000) = (0.089 / 0.18) → 0.5
- c. (1200 / 2000) = (0.089 / 0.18) → 0.6
- d. (1400 / 2000) = (0.089 / 0.18) → 0.7
Based on the calculations, option C. 1200 lbs of corn and 800 lbs of soybean meal will give us a feed ration with a crude protein content of 18%.