The following condensed information was reported by Peabody Toys, Incorporated, for $2024$ and $2023$:

$($$ in thousands$)$

$20242023$

Income statement information

Net sales $ $6,500$ $ $5,500$

Net income $450150$

Balance sheet information

Current assets $ $930$ $ $880$

Property, plant, and equipment $($net$)2,2701,920$

Total assets $ $3,200$ $ $2,800$

Current liabilities $ $1,670$ $ $1,390$

Long$-$term liabilities $880880$

Common stock $300300$

Retained earnings $350230$

Liabilities and shareholders$$ equity $ $3,200$ $ $2,800$

Required:

Determine the following components of the DuPont framework for $2024$:

Write an equation that relates these components in calculating ROE. Use the Peabody Toys data to show that the equation is correct.