How to Create an Incentive to Score Points in a Sprint Race

We're trying to create four teams and drivers that don't have a realistic chance of scoring points on that during that sprint race. So you're going to sacrifice your performance for quite happily because you're not going to score any points anyway. Why do you care? Your main focus is I'll quite happily use my extra set of soft tires to get further up through the field for the Sunday race. It's basically an incentive, isn't it?