import java.util.Scanner;

// 注意类名必须为 Main, 不要有任何 package xxx 信息
public class Main {
    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        long a=sc.nextLong();
        long b=sc.nextLong();
        long x=sc.nextLong();

        if(a*3<=b){
            System.out.print(a*x);
        }
        else{
            System.out.print(Math.min((x/3*b+(x%3)*a),((x/3+1)*b)));
        }
    }
}