In: Economics
The firm's optimal choice of labor and capital is represented in
the following diagram:
Where the red curve is the firm's isoquant for producing x units of
output. The blue curve is the isocost curve representing the
combinations of labor and capital which cost the same.
If the wage rate increases, the isocost curve
will become steeper as the firm would be able to employ less labor
for any given cost. This changes the firm's profit maximizing input
choice:
The blue curve is the firm's new isocost curve and the purple curve
is the firm's new isoquant for producing the new profit maximizing
output. Note that this output is less than the firm's earlier
choice because of the increase in price of labor.
For a fall in output price, the firm's profit
will decrease for every input output combination. However, the firm
was already maximizing profit for the given wage and rental rate
irrespective of the price of the output. Therefore, the firm would
continue to produce the same profit maximizing level of
output.