In: Economics
Barnacle Industries was awarded a patent over 15 years ago for a
unique industrial strength cleaner that removes barnacles and other
particles from the hulls of ships. Thanks to its monopoly position,
Barnacle has earned more than $160 million over the past decade.
Its customers—spanning the gamut from cruise lines to
freighters—use the product because it reduces their fuel bills. The
annual (inverse) demand function for Barnacle’s product is given by
P = 450 -0.0003Q, and Barnacle’s cost function is
given by C(Q) = 280Q. Thanks to
subsidies stemming from an energy bill passed by Congress nearly
two decades ago, Barnacle does not have any fixed costs: The
federal government essentially pays for the plant and capital
equipment required to make this energy-saving product.
Absent this subsidy, Barnacle’s fixed costs would be about $7
million annually. Knowing that the company’s patent will soon
expire, Marge, Barnacle’s manager, is concerned that entrants will
qualify for the subsidy, enter the market, and produce a perfect
substitute at an identical cost. With interest rates at 5 percent,
Marge is considering a limit-pricing strategy.
1.What would Barnacle's profits be if Marge pursues a limit-pricing
strategy if the subsidy is in place?
2.What would Barnacle's profits be if Marge convinces the
government to eliminate the subsidy?
3.What would be the profit of a new entrant if the subsidy is
eliminated and Barnacle continues to produce the monopoly level of
output?
Instructions: Enter your responses to the
nearest penny (two decimal places) and show your work. thanks