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A certain firm can hire two types of workers: Group A workers who have high productivity and Group B workers with low productivity. Group A workers will add $27,500 to the firm's revenues per year, while Group B workers will increase the firm's revenues by $15,000 per year. The firm's managers expect workers to be employed for eight years. The differences in the workers' productivity levels are reflected in their costs per year of education. Each year of education (which includes the psychic costs of study effort) costs an A worker $12,500, while each year costs a B worker $25,000.
a. Under competitive conditions, how much would A and B workers earn?
b. Assuming that the firm is unable to distinguish A from B workers and that it is equally likely that a worker is of either type, what pay scale will the firm offer?
c. Suppose that the firm decides to use education as a market signaling device to distinguish A workers from B workers. What education requirement could the firm set?
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