Question: Cathy spends 2 hours every day in commuting from home to work and then back (1-hr each way). Her utility over consumption (C), hours worked

Cathy spends 2 hours every day in commuting from home to work and then back (1-hr each way). Her utility over consumption (C), hours worked (H), and hours spent in commute (S) is given by: U(C, H) = C - 1.5(H + S)2 Assume that (a) price of C is $1 (b) S = 2. For simplicity, assume that there are no other costs (e.g., ticket costs, parking fee) associated with commuting. Spending more than 12 hours in work reduces worker productivity to zero, so we assume that . OSHS 12 (a) (1 mark) Is Cathy's preference monotone in C and H? Explain

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