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It was only a few years ago that Brawn won a Formula 1 World Championship with no sponsors on the car at the start of the season after Honda ditched them. Even though Honda ostensibly pulled out for imminent financial reasons and received 0 marketing value from the team in 2009, they still pitched in for around 40% of what their factory budget had been the year before on top of all the development and the 3-4 months of operating costs they paid for before the team was officially sold. (more specifically Honda had a budget of $400m in 2008, while in 2009 Brawn spent around $240m while receiving $150m from Honda. Honda also kept their Japanese R&D program running some time after they officially withdrew)
As as pure math exercise, if you applied those percentages to a generic $100m LMP1 budget you'd end up with only $20m to make up, which is somewhat in the realm of private team racing budgets. Less than Penske is presumably spending in IndyCar, for instance.
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