Find the number of units sold for May.

[tex]\[
\begin{tabular}{|l|r|r|r|}
\hline
\multicolumn{4}{|c|}{ Inventory } \\
\hline
& \begin{tabular}{l}
Beginning \\
Inventory
\end{tabular} & Purchases & Units Sold \\
\hline
April & 7,500 & 2,000 & 3,000 \\
\hline
May & 6,500 & 5,000 & [tex]$[?]$[/tex] \\
\hline
June & 4,000 & 1,000 & 2,000 \\
\hline
\end{tabular}
\][/tex]

Ending Inventory = Beginning Inventory + Purchases - Units Sold



Answer :

Let's break down the problem step-by-step to find the number of units sold for May.

1. Identify the given information for May:
- Beginning Inventory: [tex]\(6500\)[/tex] units
- Purchases: [tex]\(5000\)[/tex] units
- Ending Inventory: We can infer the ending inventory for May from the beginning inventory of June. Given that the beginning inventory for June is [tex]\(4000\)[/tex] units, the ending inventory for May is also [tex]\(4000\)[/tex] units.

2. Apply the inventory equation:
[tex]\[ \text{Ending Inventory} = \text{Beginning Inventory} + \text{Purchases} - \text{Units Sold} \][/tex]

3. Rearrange the equation to solve for Units Sold:
[tex]\[ \text{Units Sold} = \text{Beginning Inventory} + \text{Purchases} - \text{Ending Inventory} \][/tex]

4. Substitute the given values into the equation:
[tex]\[ \text{Units Sold} = 6500 + 5000 - 4000 \][/tex]

5. Perform the calculation:
[tex]\[ \text{Units Sold} = 6500 + 5000 - 4000 = 11500 - 4000 = 7500 \][/tex]

Therefore, the number of units sold for May is [tex]\(\boxed{7500}\)[/tex].

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