A poultry hatchery needs to hatch 260,000 chicks. How many eggs need to be set if the expected hatchability is 94%?

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BlackTom AI · Accepted Answer

We need to determine how many eggs to set so that the expected number of hatched chicks is 260,000, given a hatchability of 94%.

First, understand the relationship: hatched chicks = eggs set × hatchability (as a decimal). So eggs set = hatched / hatchability.

Calculate for the target: 260,000 / 0.94 ≈ 276,595.74. Since we must use a whole number of eggs, you typically round to the nearest whole egg or up to ensure at least 260,000 hatchlings. Rounding to 276,596 would give a little more than 260,000, but the provided option list contains 276,595, which, when multiplied by 0.94, yields about 259,999.3 hatched chicks—essentially 260,000 within rounding tolerance.

Now evaluate each option:
- 276,595: 0.94 × 276,595 ≈ 259,999.3, which is essentially 260,000 when considering rounding; this option closely matches the target and is the intended choice.
- 244,400: 0.94 × 244,400 ≈ 229,736.0. This is far below 260,000, so it would not meet the hatch target.
- 265,321: 0.94 × 265,321 ≈ 249,401.7. This is noticeably short of 260,000, so it fails to meet the requirement.
- 259,825: 0.94 × 259,825 ≈ 244,235.5. Again, well under 260,000; not acceptable for the target output.
- 267,595: 0.94 × 267,595 ≈ 251,539.3. This is also short of the desired 260,000.

In summary, only the option 276,595 yields a projected hatch count that is closest to the target 260,000 given a 94% hatchability, with all other options producing substantially fewer hatched chicks. The calculation hinges on dividing the required hatched count by the hatchability rate and then choosing the plausible integer eggs to set.}

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

A poultry hatchery needs to hatch 260,000 chicks. How many eggs need to be set if the expected hatchability is 94%?

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