A poultry farm has hatched 320,000 chicks from 355,000 eggs. What is the hatchability?

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BlackTom AI · Accepted Answer

Question restatement: A poultry farm hatched 320,000 chicks from 355,000 eggs. What is the hatchability?

Option analysis:
Option 1: 89% — This would imply 0.89 × 355,000 ≈ 315,950 eggs hatched. Since the actual hatched count is 320,000, this estimate is too low and does not match the given data precisely. It underestimates the hatch count by about 4,050 chicks.

Option 2: 91% — Calculating 0.91 × 355,000 ≈ 322, 
... wait, compute precisely: 0.91 × 355,000 = 322,550. This is higher than the actual 320,000 hatched, so this option overestimates hatchability compared to the observed data.

Option 3: 90% — 0.90 × 355,000 = 319,500. This is very close to the actual 320,000 hatched. The percentage aligns with the ratio of hatched chicks to total eggs and yields a value that matches the data within a small rounding margin.

Option 4: 92% — 0.92 × 355,000 = 326,600. This is a noticeably larger number of hatched chicks than observed, so this option overstates hatchability relative to the provided figures.

Option 5: 93% — 0.93 × 355,000 = 330,150. This far exceeds the actual hatch count, making it implausible given the reported data.

Underlying calculation concept: Hatchability is defined as (hatched chicks / eggs set) × 100. Here, hatchability = (320,000 / 355,000) × 100. Doing the division gives approximately 0.9014, which converts to roughly 90.14% when expressed as a percentage. This is best represented by a percentage near 90%, depending on rounding conventions used in the options.

Common pitfalls and misconceptions: Rounding differences can shift which option seems most plausible if one stops at a rough estimate. If you multiply 355,000 by 0.89 you get around 315,950; by 0.90 you get 319,500; by 0.91 you get 322,550. Since the actual hatched number sits between 319,500 and 322,550, 90% is the closest standardized percentage to that result, whereas 89% and 91% bracket the actual count on opposite sides. The higher percentages (92% and 93%) produce hatched counts well above 320,000 and are therefore inconsistent with the data.

Summary observation: The most consistent option with the given hatched count and egg count is the one that corresponds to a hatchability around 90%, aligning with the calculation (320,000 / 355,000) × 100 ≈ 90.14%.

AGRI10049_2025_SM2 Exam: Animal Production Systems (AGRI10049_2025_SM2)- Requires Respondus LockDown Browser

A poultry farm has hatched 320,000 chicks from 355,000 eggs. What is the hatchability?

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