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You choose how much time a day to devote to sleeping (s) and fun (f). Suppose you get stft utility, which you seek to maximise.

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You choose how much time a day to devote to sleeping (s) and fun (f). Suppose you get stft utility, which you seek to maximise. However, you face two major restrictions: there are only 24 hours in a day, and you read somewhere that it is essential to get at least 1.75 hours of sleep every day. In the case where both inequality constraints hold with strict equality, what is the value of the multiplier attached to the second constraint? (Round to two decimal places.)

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