Modify the following program to fix syntax and logical errors. The program has to print the product and

the sum of $3$ integers.

public class JavaApplication$2\{$

public static void main$($String$[]$ args$)\{$

int number$1=2$

int number$2=3$

int number$3=4$

int product $=0$;

int sum $=0$;

product $=($number$1+$ Number$2)+$ number$3$;

System.out.print$("$The product is $"+$ "product"$)$;

System.out.print$("$The sum is $"+$ Sum$)$;

$\}$

The output has to be as the following: