I need a,b,c answered as to whether or not the corresponding firm will or will not experience diminishing marginal returns to labor in the short run. An example is given below.

This problem is connected to module 10. Again, its purpose is to acquaint you with the summary measures of production theory, and to reason about production theory. In the short run, a firm cannot vary its capital and operates with K =9. It can, however, vary the amount of labor (L) that it uses. For each production function below, explain why the firm will or will not experience diminishing marginal returns to labor in the short run. a q = 35L + 40K 17 = LO.5 70.5 C q = min{3L, 2K} I will answer c so you have a model. First, substitute K =9 and get L K MPL APL q = min {34, 18} The question is now for what value of Lis 31 = 18 JJ L O W C (Why is this the question?) That would be L s 6 O W W W W w w So, I can write this equation as 3L forL 5 6 0 2.571429 118 Otherwise 2.25 So, maybe make a table 18 IN 10 18 1.8 There are diminishing marginal returns only between the 6th and 7th unit of labor. For all other values of L the MPL is constant. So, with just one exception this firm will experience constant marginal returns to labor. Parts a and b can be answered in a similar fashion, but not quite an identical fashion