1Suppose there are two snowboard manufacturers, Burton and K2. Consider the following demand functions for the two companiessnowboards:
q B = (Burton)/(900 - 2p) B +p K
q K =900 K2 2p_{K} + p_{B}
p_{B} and p_{K} are the prices set by Burton and K2, respectively. q_{B} and q_{K} are the quantities sold by Burton and K2, respectively. For simplicity, assume that the marginal cost of producing snowboard is zero.
(a) Each company sets its price to maximize profits (Bertrand competition). Derive the best
response functions of Burton and K2.