Consider the following representative agent model. The representative consumer has preferences given by u(c, l) = c + βl
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 = zKαLα-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.
Solve for all prices and quantities in a competitive equilibrium (there consider).

Which of the following quartic functions has x = –1 and x = –2 as its only two real zeroes?

Design an er diagram for keeping track of information about votes taken in the u. s. house of representatives during the current two-year congressional session. the database needs to keep track of each u. s. state's name (e. g., texas', new york', california') and include the region of the state (whose domain is {northeast', midwest', southeast', southwest', west'}). each congress person in the house of representatives is described by his or her name, plus the district represented, the start date when the congressperson was first elected, and the political party to which he or she belongs (whose domain is {republican', democrat', 'independent', other'}). the database keeps track of each bill (i. e., proposed law), including the bill name, the date of vote on the bill, whether the bill passed or failed (whose domain is {yes', no'}), and the sponsor (the congressperson(s) who sponsored - that is, proposed - the bill). the database also keeps track of how each congressperson voted on each bill (domain of vote attribute is {yes', no', abstain', absent'}). additional information:

You're locked out of your house. the only open window is on the second floor, 25 feet above the ground. there are bushes along the edge of the house, so you will need to place the ladder 10 feet from the house. what length ladder do you need to reach the window?