#include <stdio.h>

int main() {
    long long a,b,x;
    scanf("%lld %lld %lld",&a,&b,&x);
    long long cost=0;
    //当b>=3*a时
    if(b>=3*a) cost=x*a;

    //当b<3*a时
    else{
        cost=x/3*b;
        x=x%3;
        if(b<=x*a) cost+=b;
        else cost+=x*a;
    }
    printf("%lld\n",cost);

    return 0;
}