Joanne is a low-income single mother. She has 2,000 hours per year, which she can allocate to either work (H) or leisure (L), so H+L = 2,000. If Alex works, she receives an hourly wage of $9. She spends all her income on food (F), which costs $2 per unit. The government runs a TANF program, with a benet guarantee of $3,000 and a benefit reduction rate of 2/3. a) How many hours, H*, does she have to work to become ineligible for the program? H* =( ) Analytical question 1: b) How much food can she buy when working H' hours? F = ( ) Analytical question 1 0) Complete the following piecewise function for Joanne's effective wage: Effective wage =( ), H=H*