Questions: Oriole Inc. uses a periodic inventory system. Its records show the following for the month of May, in which 75 units were sold. Date Explanation Units Unit Cost Total Cost May 1 Inventory 34 8 272 15 Purchase 26 9 234 24 Purchase 40 10 400 Total 100 906 Calculate the weighted-average unit cost. (Round answer to 3 decimal places, e.g. 5.125.) Weighted-average unit cost

Oriole Inc. uses a periodic inventory system. Its records show the following for the month of May, in which 75 units were sold.
Date  Explanation  Units  Unit Cost  Total Cost
May 1  Inventory  34  8  272
15  Purchase  26  9  234
24  Purchase  40  10  400
 Total  100   906

Calculate the weighted-average unit cost. (Round answer to 3 decimal places, e.g. 5.125.)

Weighted-average unit cost
Transcript text: Oriole Inc. uses a periodic inventory system. Its records show the following for the month of May, in which 75 units were sold. \begin{tabular}{|c|c|c|c|c|} \hline Date & Explanation & Units & $\underline{\text { Unit Cost }}$ & Total Cost \\ \hline May 1 & Inventory & 34 & \$8 & \$272 \\ \hline 15 & Purchase & 26 & 9 & 234 \\ \hline 24 & Purchase & 40 & 10 & 400 \\ \hline & Total & 100 & & $\$ 906$ \\ \hline \end{tabular} (a1) Calculate the weighted-average unit cost. (Round answer to 3 decimal places, e.g. 5.125.) Weighted-average unit cost $\$$
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Solution

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Solution Steps

To calculate the weighted-average unit cost, we need to find the total cost of all units and divide it by the total number of units. This involves summing up the total costs of all inventory purchases and dividing by the total number of units available.

Step 1: Calculate Total Cost and Total Units

The total cost of all units is given as \$906, and the total number of units is 100.

Step 2: Calculate Weighted-Average Unit Cost

The weighted-average unit cost is calculated by dividing the total cost by the total number of units:

\[ \text{Weighted-Average Unit Cost} = \frac{\text{Total Cost}}{\text{Total Units}} = \frac{906}{100} = 9.06 \]

Final Answer

The weighted-average unit cost is \(\boxed{9.06}\).

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