8. Infinite Life (IL) and Permanent Assurance (PA) are Cournot duopolists in the life insurance industry with demand Q = 9,100 - 50, where Q is the combined number of policies sold by both firms. The marginal cost of servicing a policy over its duration is $500. (a) Find Infinite Life's best response function. (b) What is the highest price Infinite Life would be willing to pay to acquire Permanent Assurance? (1.e. how much more profit does Infinite Life earn when it is a monopolist, compared to when it is a Cournot duopolist?) Would Permanent Assurance accept the offer? (Is it more than Permanent Assurance's profit as a Cournot duopolist?)