Below are the prices and output for three years. Using Year $1$ as the base year, what is the real GDP for Year $2?$

$\backslash$table$[[,$Year $1,,$Year $2,,$Year $3,],[$Item$,$Price,Quantity,Price,Quantity,Price,Quantity$],[$Ice Cream,$$5,10,$$$6,12,$$$7,9],[$Sweaters$,$$$40,5,$$$50,4,$$$60,5],[$Shoes$,$$$100,3,$$$105,3,$$$110,4]]$

$$520$

$$450$

$$587$

$$625$