In$2024,$ Richard's Department Store changes its inventory method from FIFO to LIFO.$$ Richard's uses the simplified LIFO method.$$ Richard's

yearminus$$end

inventory under FIFO is as$$ follows: $2023$

minus$$

$$$$300,000$; $2024$

minus$$

$$$$350,000.$ The $2023$ price index is$110\%$ and the $2024$ index is$120\%.$ What is the value of the $2024$ inventory$$ layer? $($Round your answer to the nearest$$ dollar.$)$

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Part $1$

A$.$

$$$$50,000.$

B$.$

$$$$20,833.$

C$.$

$$$$19,097.$

D$.$

$$$$22,727.$