In yield calculations, which expression correctly defines AP in terms of edible portion EP and percent yield?

In yield calculations, which expression correctly defines AP in terms of edible portion EP and percent yield?

• A. Edible portion divided by yield equals as purchased
• B. Edible portion equals as purchased times yield
• C. As purchased equals edible portion divided by yield
• D. Edible portion divided by yield equals as purchased

Answer: (D)

The key idea is that yield is the edible portion as a fraction of the as-purchased amount. Since yield = EP / AP, solving for AP gives AP = EP / yield. So edibles divided by the yield (as a decimal) gives the amount you started with. For example, if EP is 6 units and the yield is 0.75, AP = 6 / 0.75 = 8 units. If yield is given as a percent, convert to decimal first (75% becomes 0.75). The forward relation EP = AP × yield is useful for finding EP from AP, but to express AP in terms of EP and yield you rearrange to AP = EP / yield.

The key idea is that yield is the edible portion as a fraction of the as-purchased amount. Since yield = EP / AP, solving for AP gives AP = EP / yield. So edibles divided by the yield (as a decimal) gives the amount you started with. For example, if EP is 6 units and the yield is 0.75, AP = 6 / 0.75 = 8 units. If yield is given as a percent, convert to decimal first (75% becomes 0.75). The forward relation EP = AP × yield is useful for finding EP from AP, but to express AP in terms of EP and yield you rearrange to AP = EP / yield.