Suppose that labor is the only input used by a perfectly competitive firm. The firm's production function is as follows:
a. Calculate the marginal product for each additional worker.
b. Each unit of output sells for $10. Calculate the value of the marginal product of each worker.
c. Compute the demand schedule showing the number of workers hired for all wages from zero to $100 a day.
d. Graph the firm's demand curve.
e. What happens to this demand curve if the price of output rises from $10 to $12 per unit?