Given that Karim's optimal choice involves 17 hours of free time per day, the number of hours he decides to work can be determined. Assuming a 24-hour day, his working hours are calculated by subtracting his free time from the total available hours: $$ 24 - 17 = 7 $$ hours.

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Based on the graphical representation of Karim's preferences and constraints in Figure E3.3, the problem is to identify the utility-maximizing combination of free time and consumption, and from that, calculate the number of hours he chooses to work.

Determining Karim's Optimal Work Hours from Figure E3.3

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