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Find the number of units purchased for May.

\begin{tabular}{|l|r|r|r|}
\hline \multicolumn{4}{|c|}{ Inventory } \\
\hline & \begin{tabular}{l}
Beginning \\
Inventory
\end{tabular} & Purchases & Units Sold \\
\hline April & 5,900 & 2,500 & 1,700 \\
\hline May & 6,700 & [tex][tex]$[?]$[/tex][/tex] & 1,500 \\
\hline June & 5,500 & 600 & 2,200 \\
\hline
\end{tabular}

Ending Inventory [tex][tex]$=$[/tex][/tex] Beginning Inventory + Purchases - Units Sold


Sagot :

To determine the number of units purchased for May, we will use the given formula for ending inventory:

[tex]\[ \text{Ending Inventory} = \text{Beginning Inventory} + \text{Purchases} - \text{Units Sold} \][/tex]

First, let's extract and define the values given for May from the table:

- Beginning Inventory for May: 6700 units
- Units Sold in May: 1500 units
- The Ending Inventory for May (derived from the table) is 5500 units.

We need to find the number of Purchases (let's call it [tex]\(P\)[/tex]) for May.

The formula rearranged to solve for Purchases is:

[tex]\[ P = \text{Ending Inventory} - \text{Beginning Inventory} + \text{Units Sold} \][/tex]

Now, substituting the given values:

[tex]\[ P = 5500 \, (\text{Ending Inventory}) - 6700 \, (\text{Beginning Inventory}) + 1500 \, (\text{Units Sold}) \][/tex]

Perform the operations step by step:

1. [tex]\( 5500 - 6700 = -1200 \)[/tex]
2. [tex]\( -1200 + 1500 = 300 \)[/tex]

Thus,

[tex]\[ P = 300 \][/tex]

Therefore, the number of units purchased for May is 300 units.