Suppose Tammy has a utility function U(C, L) 2+√C² + L², where C is con- sumption and L is leisure. Tammy has a total of 7 hours for work and leisure. The wage rate is w and Tammy has no non-labor income. (a) Express Tammy's utility maximizing choice of work hours in terms of w and T. (5 marks) (b) If wage rate w decreases, would Tammy's labor supply increase, decrease, or remain unchanged? Explain why. (5 marks)