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Suppose a consumer has preferences over R: given by each utility function below. In each case, the consumer has income 3; > 0 and prices are p = (191,192). Solve the consumer's utility maximization problem. Draw indifference curves With different values of a and b. Since the utility functions are not differentiable, you should do these without the Kuhn-Tucker method and Without calculus, relying instead on the graphs to guide you. Interpret your answers. (a) (Perfect substitutes) u(:c) = (1:131 + b182, Where a, b > O. (b) (Perfect complements) u(:1:) = min{a:c1, 13332}, Where a, b > 0. (c) (Max preferences) u(:1:) = max{a:c1, bang}, Where a, b > 0