$1.$ Based on the following business descriptions, prepare the relevant accounting entries of Company A$.$

$1)$ On $31$ December $2023,$ Company A $($buyer$)$ and Company B $($seller$)$ signed a purchase contract to purchase a batch of raw materials with the quantity of $100$KG and a unit price of $100/$KG $($not include SST$),$ consider $10\%$ SST$.$

$2)$ On $5$ January $2024,$ Company A shipped the first batch of $50$KG goods according to the contract, and Company B received the relevant goods on $10$ January $2024$

$3)$ On $5$ February $2024,$ Company A shipped the first batch of $50$KG goods according to the contract, and Company B received the relevant goods on $10$ February $2024$

$4)$ On $29$ February $2024,$ Company A made the payment for the relevant goods as agreed in the contract.