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

q = 100(L)^1/2

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. Determine the marginal productivity of labor. Graph this relationship and show that MPL < APL for all values of L. Explain why this is so.

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