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Let us consider the team manager's dilemma of mechanics in the Indy Car racing team. Nine different features might still be added to this year's car to improve its top speed. The following table lists their estimated costs and speed enhancements. Indy Car wants to maximize the performance gain without exceeding a budget of $50,000. Note that because the installation of Feature 1 or Feature 2 is at the same location, these two cannot be added at the same time. You can pick at most one of these two. Determining which features to choose. Cost (in thousand dollars) Speed increase (mph) Feature 1 10.2 Feature 2 Feature 3 23.0 Feature 4 11.1 Feature 5 9.8 Feature 6 31.6 Feature 7 18.1 Feature 8 15.9 Feature 9 7.9