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cale drink and Pop drink are softdrinks with similar uses (they are substitutes), but most people prefer one over the other. They face demand curves

cale drink and Pop drink are softdrinks with similar uses (they are substitutes), but most people prefer one over the other. They face demand curves of the form: c = 50 10c+ 5p p = 40 20p + 2c where the quantities are measured in millions of cans per year and prices a are measured in dollars. The marginal cost of producing a can is 1 dollar. a) [4 points] What are the firm's profit functions? b) [6 points] What are the firm's best response functions? c) [5 points] What is the equilibrium price and quantity? d) [5 points] What type of commitment can Cale drink benefit from? Explain. (Bonus open-ended question: Any ideas on how to execute such commitments? )

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