Q. In class we discussed the idea that small farmers are sometimes price takers, i.e. the price of wheat are set in the global marketplace. Assume a small farm produces soybeans that sell at a market price of $6 a bushel. In addition, the farmer understands her cost structure for production; her total cost for producing "q" bushels is given by:
TC = .1q^2+ 2q + 100
a. Does this farm has increasing returns to scale, stable returns to scale, or else decreasing returns to scale? Explicate how you can tell.
b. Find the profit-maximizing choice of q for this miniature farm; also compute profits that will be earned at this choice of q.
c. Draw a graph illustrating this situation and labeling the choice of q.