11.1 Digging clams by hand in Sunset Bay requires only labor input. The total number of clams obtained per hour (q) is given by q
100L, where L is labor input per hour.

a. Graph the relationship between q and L.

b. What is the average productivity of labor in Sunset Bay? Graph this relationship and show that APL diminishes for increases in labor input.

c. Show that the marginal productivity of labor in Sunset Bay is given by MPL
50/L.

Graph this relationship and show that MPL  APL for all values of L. Explain why this is so.