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What is the effect of the change in methods on $2024$ net income?

$\backslash$table$[[$The effect of the change for the year $2024$ is a$,$$$22,320,$increase,in cost of goods,,$],[$sold resulting in a$,$$decrease,in income before taxes and a$($n$),$$$16,740,],[$decrease$,$in income after tax.,,,,$]]$

Rockwell Corporation uses a periodic inventory system and has used the FIFO cost method since inception of the company in $1979.$ In $2024,$ the company decided to switch to the average cost method. Data for $2024$ are as follows:

$\backslash$table$[[$Beginning inventory, FIFO $,,$$$172,500$