Which statement expresses the quantity adjustment relationship?

Which statement expresses the quantity adjustment relationship?

• A. DESIRED/STANDARD = W/F
• B. DESIRED = W × F / STANDARD
• C. W = F × DESIRED / STANDARD
• D. STANDARD = W × DESIRED / F

Answer: (C)

The quantity adjustment relationship shows how to scale ingredients when changing the yield. The formula W = F × DESIRED / STANDARD gives the exact amount of an ingredient you need (W) by taking a baseline quantity (F) and adjusting it by how the desired yield compares to the standard yield. It highlights that the required amount grows with the desired yield and shrinks if the standard yield is larger, maintaining proportionality to DESIRED/ STANDARD. If the desired yield matches the standard yield, the needed amount becomes the baseline factor F, which makes intuitive sense: you’d use the same base quantity per unit of standard yield. If the desired yield increases, W increases proportionally. You could also write the same relationship as DESIRED/ STANDARD = W/ F, which is the same idea, but solving for W directly with the given values is usually the most practical way to determine the exact quantity.

The quantity adjustment relationship shows how to scale ingredients when changing the yield. The formula W = F × DESIRED / STANDARD gives the exact amount of an ingredient you need (W) by taking a baseline quantity (F) and adjusting it by how the desired yield compares to the standard yield. It highlights that the required amount grows with the desired yield and shrinks if the standard yield is larger, maintaining proportionality to DESIRED/ STANDARD. If the desired yield matches the standard yield, the needed amount becomes the baseline factor F, which makes intuitive sense: you’d use the same base quantity per unit of standard yield. If the desired yield increases, W increases proportionally. You could also write the same relationship as DESIRED/ STANDARD = W/ F, which is the same idea, but solving for W directly with the given values is usually the most practical way to determine the exact quantity.