Final answer:
The question pertains to determining the value of the marginal product at various levels of labor and identifying the profit maximizing level of employment in a perfectly competitive labor market, given a fixed market wage.
The correct option is not given.
Step-by-step explanation:
The student's question concerns key business decisions that a firm must make in the context of production and labor economics. Specifically, it involves determining the amount of labor to hire in order to maximize profits.
Value of Marginal Product
The value of the marginal product (VMP) refers to the additional revenue a firm earns by employing one more unit of labor, holding all other factors constant. To determine the VMP at each level of labor, one would need data on how additional labor affects output and the price at which the additional output can be sold.
Profit Maximizing Level of Employment
In a perfectly competitive labor market, the profit maximizing level of employment is found where the VMP equals the market wage rate. Assuming a market wage rate of $12, the firm will continue to hire labor until the VMP of the last worker hired is exactly $12.
The correct option is not given.