Union A wants to represent workers in a firm that would hire 20,000 workers if the wage rate is $12 and would hire 10,000 workers if the wage rate is $15. Union B wants to represent workers in a firm that would hire 30,000 workers if the wage is $20 and would hire 33,000 workers if the wage is $15.

Wage increases. Show that in the long run the firm will hire fewer workers?