Consider the 3 generators with the characteristics given in Tab. 1, they must satisfy the load requirement in Tab. 2. Unit Pmin Pmax Marginal cost ($/MWh) Min up time (h) ($) No-load cost ($) 1 30 3 2 50 120 200 100 30 50 20 3 40 Table 1: Information for problem 4. 2 1 Hour 1 2 3 Load 150 120 160 Table 2: Information for problem 4. 300 150 100 Assume at the beginning of the problem all generators are off. 1. Write down the formulation of the unit commitment problem. 2. Suppose we impose a 10 MW reserve requirement. Write the new unit commitment problem.