A firm faces a constant per unit prce of 1500 euros for its outputs.
The firm hires L workers from a union at a daily wage of w, to produce output q, where production function is q= L^1/2, so the marginal product of labor implied by this production function is 1/L^1/2, there are 324 workers in the union. Any worker who does not work for firm can find a nonunion job paying 50 euros per day. Union wnats to maximize total earning for its members.
a) What is the firm's labor demand function?
b) If firm is allowed to specify w and than union is allowed to provide as many workers as it wants( up to 324) at the daily wage of w, what wage will firm set ? How many workers will union provide?
What is the profit of the firm and the total income of the 324 union workers?
c) If union is allowed to specify w and firm is allowed to hire as many workers as it wants ( up to 324) at the daily wage of w , what wage will union set to maximize the total income of the 324 workers? How many workers wil firm hire? What is the profit of the firm and total income of the 324 workers?

a) Die labor demand function entspricht dem marginal product of labor oder?

b) Hier wird die Firma ja den wage auf 50 setzten und alle werden dann arbeiten oder?
Also ist der Profit dann 324^1/2 * 1500 - 324*50 = 10800
Total Income wäre dann ja 16200

Ich komme leider bei dieser Aufgabe hier nicht weiter, kann mir eventuell jemand sagen, ob meine bisherigen Überlegungen richtig sind und wie man bei der c am besten vorgeht?
Würde mich echt freuen!

Bereits im Voraus vielen Dank!

Lg
« Zuletzt durch gordon1000 am 31.05.2016 11:16 Uhr bearbeitet. »