Modification on this wikipedia example for strategy pattern

Considering the java example for strategy pattern:

If we have a new customer type e.g. MemberCustomer who can also be charged in terms of loyalty points. The billing strategy may change for normal or happy hours as follows:

int NormalStrategyForMemberCustomer{
    int getActPrice(int loyaltyPoints){
        return loyaltyPoints;
    }
}
int HappyHoursStrategyForMemberCustomer{
    int getActPrice(int loyaltyPoints){
        return loyaltyPoints/2;
    }
}

In this case should I create the above methods as new strategies and inherit a new class from Customer class as MemberCustomer and try to fit the strategy pattern?

Or is there another design pattern which fits better here?