the agent has a maximum of 12 hrs in a day that she can work, and her aspiration is not a utility level, but a target of making at least $500 in a work day. Her utility from working q hours at an hourly rate w is given by wq q2(so she likes total income but dislikes working). If her target is not achievable, then she just max imizes her utility. If the target level of income is achievable, then she chooses any feasible number of hours that yield at least her target income.

Formulate the model by doing the following (warning: (i) and (ii) require care):

(i) Specify the choice domain.

(ii) Write the agent's menu when the hourly rate is w.

(iii) Determine the agent's choice from menus corresponding to wages $22/hr and $50/hr respectively.2

(iv) Point out how the choices relate to the finding in the study.