To determine the Cost of Goods Sold (COGS) for Bryers Incorporated, we will need to follow a systematic approach using the given data. The formula for calculating COGS is:
[tex]\[ \text{COGS} = \text{Beginning Inventory} + \text{Purchases} - \text{Ending Inventory} \][/tex]
Let's break down each step:
1. Beginning Inventory: This is the inventory at the start of the year.
[tex]\[
\text{Beginning Inventory} = \$7,700
\][/tex]
2. Purchases: This is the cost of additional inventory purchased during the year.
[tex]\[
\text{Purchases} = \$22,700
\][/tex]
3. Ending Inventory: This is the cost of the inventory remaining at the end of the year.
[tex]\[
\text{Ending Inventory} = \$9,700
\][/tex]
Now, we substitute these values into our COGS formula:
[tex]\[
\text{COGS} = \$7,700 + \$22,700 - \$9,700
\][/tex]
Next, perform the addition and subtraction:
4. Add Beginning Inventory and Purchases:
[tex]\[
\$7,700 + \$22,700 = \$30,400
\][/tex]
5. Subtract Ending Inventory:
[tex]\[
\$30,400 - \$9,700 = \$20,700
\][/tex]
Therefore, the Cost of Goods Sold (COGS) for Bryers Incorporated for the year is:
[tex]\[
\boxed{\$20,700}
\][/tex]
This is the final calculated value for the COGS.