A competitive firm produces its output, y, according to the production function: y =

F(K,L), where Kand Lare capital and labour inputs. The price of output is p and the

prices of Kand Lare wand s, respectively. Assume that Kis fixed in the short run.

In addition, assume that the production function exhibits constant returns to scale in K

and L. Define the firm's short run profit function and show that the firm's short run

supply function is linear in K.