Question at position 48 Hank Hill's Emporium of Propane and Propane Accessories is expecting a slowdown in the winter season. Hank's company has sold an average of 64,000 propane tanks per month. Hank has held to a consistent productivity ratio of 800 tanks sold per employee. If he continues to stay at that same productivity ratio, but is expecting an 8% decrease in sales, how many salespeople will Hank need to layoff? (Answer should be rounded up to the nearest whole number - ex: 43.24 should round to 44)AnswerHank Hill's Emporium of Propane and Propane Accessories is expecting a slowdown in the winter season. Hank's company has sold an average of 64,000 propane tanks per month. Hank has held to a consistent productivity ratio of 800 tanks sold per employee. If he continues to stay at that same productivity ratio, but is expecting an 8% decrease in sales, how many salespeople will Hank need to layoff? (Answer should be rounded up to the nearest whole number - ex: 43.24 should round to 44)[input]

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BlackTom AI · Accepted Answer

First, determine how many salespeople are currently employed based on the given productivity.
- Current monthly sales = 64,000 tanks.
- Productivity per employee = 800 tanks per month.
- Current number of salespeople = 64,000 / 800 = 80.

Next, apply the expected 8% slowdown to the sales figure.
- New monthly sales = 64,000 × (1 − 0.08) = 64,000 × 0.92 = 58,880.

Then figure out how many salespeople are needed to handle the reduced sales at the same productivity rate.
- Required number of employees = 58,880 / 800 = 73.6.
- Since you can’t have a fraction of a salesperson, round up to ensure enough capacity: 74 employees.

Finally, compute how many salespeople to lay off.
- Current staff: 80 employees.
- Staff needed after slowdown: 74 employees.
- Layoffs = 80 − 74 = 6.

Note on the rounding instruction: the problem mentions rounding to the nearest whole number for the answer, but since the final layoffs count is already an integer after computing 80 − 74, there is no additional rounding needed here. The intermediate step of rounding up 73.6 to 74 ensures we have enough staff to meet the reduced demand.

If someone had a different result like 7, that would imply a mismatch between the rounding rule applied to the required staff (74) and the final layoff calculation, or a misinterpretation of the starting staff count, but following the steps above yields a layoff count of 6 based on the provided figures.

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