In special cases, we say that a firm's demand curve is perfectly elastic, meaning that the elasticity
Question:
In special cases, we say that a firm's demand curve is "perfectly elastic," meaning that
the elasticity along the entire demand curve is infinity.
A.Suppose you know that the firm's demand curve intersects the vertical axis at
P=$10. With this information, show on a figure what the firm's demand curve
looks like if it has perfectly elastic demand.
B.On the same figure, draw the marginal revenue curve.
C.Suppose that MC is increasing in Q (so that the MC curve is a line with positive
slope), and you know that the MC and AC curves intersect when Q = 10 and both
costs equal $5. Suppose also there is a fixed cost F>0. On your figure, draw the
MC curve and the AC curve. Ensure the curves intersect at the correct point, and
the shape of the AC curve reflects what you know about the MC curve and fixed
cost (If you want a concrete cost function, the total cost function
()=25+1/42 would work).
D. Given your answers to a-c, show the profit-maximizing choice of Price and
Quantity (using either, or both, methods developed in the textbook). What is the
profit margin over MC at this choice? (Hint: remember the equation for the slope
of the isoprofit curve.)
E.What is the deadweight loss at the firm's profit maximizing choice?
F.In words, under what conditions would you expect a firm's demand curve to be
perfectly elastic