Assume that annual inverse demand for a particular product is P=150-Q. The product is offered by a pair of Bertrand competitors, each with marginal costs of $75. The discount factor is 0.9. What is the current equilibrium price and total surplus? Now, assume though that if R&D is conducted at rate x, it incurs one-off costs of r(x)=10x^2 and reduces the marginal costs to (75-x). Suppose that one firm decides to conduct R&D at rate x=10. This research will be protected by a patent of T years. a) What profit(ignoring the one-off costs of R&D) does the innovating firm make each year during the period of patent protection? b) What is the new equilibrium price and total surplus once patent protection expires? c) Use your answer above to write the total surplus from the innovation
Assume that annual inverse demand for a particular product is P=150-Q. The product is offered by a pair of Bertrand competitors, each with marginal costs of $75. The discount factor is 0.9. What is the current equilibrium price and total surplus? Now, assume though that if R&D is conducted at rate x, it incurs one-off costs of r(x)=10x^2 and reduces the marginal costs to (75-x). Suppose that one firm decides to conduct R&D at rate x=10. This research will be protected by a patent of T years. a) What profit(ignoring the one-off costs of R&D) does the innovating firm make each year during the period of patent protection? b) What is the new equilibrium price and total surplus once patent protection expires? c) Use your answer above to write the total surplus from the innovation
Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter16: Government Regulation
Section: Chapter Questions
Problem 6E
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Assume that annual inverse demand for a particular product is P=150-Q. The product is offered by a pair of Bertrand competitors, each with marginal costs of $75. The discount factor is 0.9. What is the current equilibrium price and total surplus?
Now, assume though that if R&D is conducted at rate x, it incurs one-off costs of r(x)=10x^2 and reduces the marginal costs to (75-x). Suppose that one firm decides to conduct R&D at rate x=10. This research will be protected by a patent of T years.
a) What profit(ignoring the one-off costs of R&D) does the innovating firm make each year during the period of patent protection?
b) What is the new equilibrium price and total surplus once patent protection expires?
c) Use your answer above to write the total surplus from the innovation
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