1) Verify the existence of the NE for the Hotelling model with three firms and fixed equal prices. Hint: To do so fix some locations for the three firms and verify whether any firm have any incentive to deviate. 2) Review the five steps needed in order to solve the Hotelling model with fixed locations, two firms, and equal positive marginal costs c. Then, find the numerical solution of the model (the NE) going over each mathematical step.