Formulate a 15% crude protein (CP) ration for a goat using maize (8% CP) and soybean meal (44% CP) using the Pearson Square Method. Show all workings and calculate the daily feed requirements.

Place the target crude protein (CP) percentage in the center of the square. Place the CP percentages of the two ingredients at the left corners.

$$\begin{array}{c c c} \text{Soybean Meal (44\% CP)} & & 15 - 8 = 7 \text{ parts Maize} \\ & \diagdown & \\ & 15\% \text{ CP (Target)} & \\ & \diagup & \\ \text{Maize (8\% CP)} & & 44 - 15 = 29 \text{ parts Soybean Meal} \\ \end{array}$$

Subtract diagonally across the square. The absolute difference represents the "parts" of the ingredient on the opposite side.

• Parts of Soybean Meal needed: $44\% - 15\% = 29$ parts
• Parts of Maize needed: $15\% - 8\% = 7$ parts

Total parts = $29 \text{ (Soybean Meal)} + 7 \text{ (Maize)} = 36$ parts

Percentage of Soybean Meal:

$$\frac{29 \text{ parts}}{36 \text{ total parts}} \times 100\% = 80.56\%$$

Percentage of Maize:

$$\frac{7 \text{ parts}}{36 \text{ total parts}} \times 100\% = 19.44\%$$

To calculate daily feed requirements, we need to assume a typical daily dry matter intake for a goat.
Let's assume a goat weighs $40 \text{ kg}$ and consumes $2.5\%$ of its body weight in dry matter per day.

Daily Dry Matter Intake:

$$40 \text{ kg} \times 0.025 = 1 \text{ kg} \text{ or } 1000 \text{ g}$$

Daily requirement for Soybean Meal:

$$1 \text{ kg} \times 0.8056 = \boxed{0.8056 \text{ kg} \text{ or } 805.6 \text{ g}}$$

Daily requirement for Maize:

$$1 \text{ kg} \times 0.1944 = \boxed{0.1944 \text{ kg} \text{ or } 194.4 \text{ g}}$$