4. Shawna, Maya, and Andre’s interior design business were taking off in a big way. Their talent was in high demand. It wasn’t long before the trio needed to hire more employees. Since the needs of their company were changing, they reviewed their personal circumstances, finances, and goals. They decided to legally organize the company so it had a limited life as well as limited liability.

(4 points) suppose the production function in the solow model is given by yt = ak¯ 3/4 t l 1/4 t . (a) what are the five equations and five unknowns that summarize the solow model? (b) show the transition dynamics in the solow model if ¯sy0 < ¯dk0. make sure you label the axes, curves, initial level of capital and steady-state level of capital. (c) solve for capital, output, capital per person, and output per person in the steady state. (d) if a¯ = 2, l¯ = 4, ¯s = 0.2, and ¯d = 0.05, calculate the steady-state level of capital and output per person.

As a group is leaving, you ask them if they had a good experience at the restaurant. they mention that they had poor service and their food was cold. a. apologize and ask them to give the restaurant another chance in the future. you tell them that guests usually have a great experience here. b. apologize then ask for the server’s name and immediately notify the manager after they leave. c. apologize for the bad experience and ask them to wait as you call the manager to talk to them. d. apologize for the bad experience and encourage them to complete the customer service survey. this feedback will ensure other guests do not have the same experience.

Suppose a firm faces a fixed price of output, 푝푝= 1200. the firm hires workers from a union at a daily wage, 푤푤, to produce output according to the production function 푞푞= 2퐸퐸12. there are 225 workers in the union. any union worker who does not work for this firm is guaranteed to find nonunion employment at a wage of $96 per day. a. what is the firm’s labor demand function? b. if the firm is allowed to choose 푤푤, but then the union decides how many workers to provide (up to 225) at that wage, what wage will the firm set? how many workers will the union provide? what is the firm’s output and profit? what is the total income of the 225 union workers? c. now suppose that the union sets the wage, but the firm decides how many workers to hire at that wage (up to 225). what wage will the union set to maximize the total income of all 225 workers? how many workers will the firm hire? what is the firm’s output and profit? what is the total income of the 225 union workers? [hint: to maximize total income of union, take the first order condition with respect to w and set equal to 0.]