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Question: Consider a pharmaceutical company considering research and development of a new drug. They estimate that demand for this new, innovative product (the only of its kind) is given by p = 200 -q, and the firm knows that once the drug is developed it can produce as much as it would like at a constant marginal cost of $10 (this implies a cost function of c(q) = 10q).
(a) What is the monopolist's profit-maximizing price and quantity produced, pm and qm if they develop the drug? Be sure to include a well-labeled diagram!
(b) If the firm expects that the R&D will cost $10,000, should the firm pursue this product innovation?
(c) What is the most the firm should be willing and able to spend on this innovation?
(d) What is the socially optimal quantity of output, q*? (e) What is the value of the innovation to society if it was competitively/efficiently supplied?
(f) Calculate the deadweight welfare loss we should expect if the firm produces the new drug as a monopoly.
Illustrate what is the price elasticity of demand. What is the cross-price elasticity of demand. Suppose the price of the good, P, goes to $2.00.
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