The saying about optimization goes, "Time, Cost, Quality: Choose two." You've chosen the two that most profit-minded entities choose, but they are not the only choices.
Optimizing for quality and time can be a winning solution, particularly if you can achieve novelty as well. Countless corporations and founders have had success with the strategy (Apple under Jobs comes to mind.) Optimizing for quality and cost is also viable: Deming preached it, and e.g., Japanese car manufacturers have showed it to be a highly successful strategy.
Optimizing for quality and time can be a winning solution, particularly if you can achieve novelty as well. Countless corporations and founders have had success with the strategy (Apple under Jobs comes to mind.) Optimizing for quality and cost is also viable: Deming preached it, and e.g., Japanese car manufacturers have showed it to be a highly successful strategy.