Consider the following representative agent model. The representative consumer has preferences given by (c, l)= c+ pl

where c is consumption, l is leisure, and β > 0. The consumer has an endowment of one unit of time and ko units of capital. The representative firm has a technology for producing consumption goods, given by

Y = zK^1'-a

where Y is output, z is total factor productivity, K is the capital input, L is the labor input, and 0 < a<1. The market real wage is w and r denotes the rental rate on capital.

Required:
Solve for all prices and quantities in a competitive equilibrium (there consider).

An attorney came to work on a saturday. when he signed in, he was advised by the morning security guard employed by the building management that he must be out of the building by 5 p.m., when it closes. however, he stayed past 5 p.m. to complete a brief that had to be filed on monday morning. at 5: 15 p.m., the afternoon security guard set the locks on all the doors of the building and left. because she was in a hurry, she did not check the sign-in sheet to make sure that everyone had signed out, contrary to mandatory procedures. when the attorney tried to exit 15 minutes later, he discovered that the doors were all locked and could not be opened from the inside. he used his cell phone to call for , and a supervisor from the building arrived and let him out shortly thereafter. if the attorney sues the building management for false imprisonment, is he likely to win?