Hello tutors answer the following questions

Suppose that there are two firms, A and B. operating in a market. Each can choose to produce either "high" or "low" output with the following resulting profits: Firm B chooses Low output High output Profit of A Profit of B Profit of A Profit of B Firm A Low output 15 15 2 20 chooses High output 20 2 8 8 Imagine you are making decisions for Firm A. (i) If Firm B produces low, what level of output would maximise your profit in the current time period? [12] (ii) If you produce high, what level of output would maximise profit for Firm B? [12] (iii) If Firm B produces high, what level of output would maximise your profit in the current time period? [12] (iv) Under what circumstance would you decide to produce low? (v) Suppose you enter into an agreement with Firm B that you will both produce low, what measures could you adopt to ensure that B keeps to the agreement? [1] [Total 3]A life insurance company issued 1,000 identical single premium deferred annuity contracts to men aged 40 exact on 1 January 2005. The contract provides an annual pension of $10,000 payable annually in advance from 1 January 2025 and for the whole of life thereafter, or a return of the single premium immediately on death before that date. Calculate the net single premium. Basis: before retirement assume AM92 Ultimate mortality and 4% pa interest; after retirement assume interest and mortality such that ago = 17. [4] (ii) On 1 January 2010, there were 976 of the original policies still in force; one year later the number in force had reduced to 973. Death was the only cause of exit during the year. Calculate the company's mortality profit from these policies during the year 2010, assuming that the company calculates its reserves on the same basis as the premium basis