To determine the average time a loaf of sliced bread stays in inventory at the sandwich shop, follow these steps:
1. Identify the given values:
- The restaurant uses 46 loaves of bread per day.
- The restaurant maintains an average inventory of 150 loaves of bread.
2. Understand what we are calculating:
- We need to find the average time a loaf of bread stays in inventory, which can be expressed as the average inventory divided by the usage rate (loaves used per day).
3. Set up the formula:
[tex]\[
\text{Average time in inventory} = \frac{\text{Average inventory}}{\text{Loaves used per day}}
\][/tex]
4. Substitute the given values into the formula:
[tex]\[
\text{Average time in inventory} = \frac{150 \text{ loaves}}{46 \text{ loaves per day}}
\][/tex]
5. Calculate the result:
[tex]\[
\text{Average time in inventory} = 3.260869565217391 \text{ days}
\][/tex]
Thus, the average time a loaf of bread stays in inventory at the sandwich shop is approximately 3.26 days.
