Consider the following optimization problem: minc (u; a)+ZD(S-μ) μl μ abatement as a fraction, between 0 and 1 a technical change that reduces the cost of abatement Z Damage multiplier D() The damages from climate change S The stock of emissions Cμ > 0 Cμμ > 0 Assume Cα < 0, where the subscript represents a partial derivative. D'>0 D">0 1. What is the FOC? 2. What is the SOC? Is it satisfied? 3. How do overall costs (abatement + damages) change with the stock of emissions? 4. How do overall costs change with technical change?