Rerun Manufacturing Company is in the process of preparing its $2023$ budget and is anticipating the following changes:

$30\%$ increase in the number of units sold

$25\%$ increase in the direct material unit cost

$20\%$ increase in the direct labor cost per unit

$13\%$ increase in the manufacturing overhead cost per unit

$20\%$ increase in the sales price

$4\%$ increase in the administrative expenses

Rerun does not keep any units in inventory.

The composition of the cost of finished products during $2022$ for materials, direct labor, and factory overhead, respectively, was in the ratio of $3$:$2$:$1.$ The condensed income statement for $2022$ is as follows:

Sales $(41,000$ units$)$ $ $533,000$

Less sales returns $(53,300)$

Net sales $479,700$

Cost of goods sold $339,000$

Gross profit $ $140,700$

Selling expenses $ $71,000$

Administrative expenses $41,000112,000$

Net income $ $28,700$

What is the estimated cost of goods sold for $2020$ assuming the number of units sold does not change?

Multiple Choice

$$460,475$

$$452,565$

$$531,665$

$$411,320$