- = ln(x,-) + In G; 1': 1.2, \"-71 Let there be " consumers all with the same utility function \"I and the same income of 1. The price of the private good (x) and the public good (G) are both 1. a. Calculate the private equilibrium (Competitive equilibrium) b. Find the social optimum for the welfare function W = 221:1 U'. c. Comment on the effect of changing n on the contrast between the equilibrium and the optimum