Questions: The RTY calculation for the following process would be: Step A → Step . → Step C → Step D → A. YA+YB+YC+YD B. (YA)(YB)(YC)(YD) C ((YA+YB+YC+YD)/4) × 4 D. 1/YA+1/YB+1/YC+1/YD

Transcript text: The RTY calculation for the following process would be: Step A $\longrightarrow$ Step . $\longrightarrow$ Step C $\longrightarrow$ Step D $\longrightarrow$ A. $\quad Y_{A}+Y_{B}+Y_{C}+Y_{D}$ B. $\left(Y_{A}\right)\left(Y_{B}\right)\left(Y_{C}\right)\left(Y_{D}\right)$ C $\left(\frac{Y_{A}+Y_{B}+Y_{C}+Y_{D}}{4}\right) \times 4$ D. $\frac{1}{Y_{A}}+\frac{1}{Y_{B}}+\frac{1}{Y_{C}}+\frac{1}{Y_{D}}$

Solution

Solution Steps

To calculate the RTY (Rolled Throughput Yield) for the given process, we need to use the formula that multiplies the yields of each step. This is represented by option B: $(Y_A) \times (Y_B) \times (Y_C) \times (Y_D)$.

Step 1: Define the Yields

Let the yields for each step in the process be defined as follows: \[ Y_A = 0.95, \quad Y_B = 0.90, \quad Y_C = 0.85, \quad Y_D = 0.80 \]

Step 2: Calculate the RTY

The Rolled Throughput Yield (RTY) is calculated using the formula: \[ RTY = Y_A \times Y_B \times Y_C \times Y_D \] Substituting the values: \[ RTY = 0.95 \times 0.90 \times 0.85 \times 0.80 \]

Step 3: Compute the Result

Calculating the product: \[ RTY = 0.5814 \]