Help me out

A FinTech company has determined to supply a maximum volume of its new cryptocurrency named AXP up to 1 million units in the future where the supply rate depends on the coin popularity in the trading market. AXP has been launched in the first year (t 0) (year 2020) with 100,000 units being supplied to the trading market. One year later there are 160,000 units of AXP being traded in the market. One cryptocurrency researcher has established the following model for AXP: at = k (1 - where y is the total number of AXP supplied (in thousand units) in the market, t is the time measured in years, k is a coefficient, N is the maximum supply volume of AXP (in thousand units). a) Estimate the value of k. b) Derive the particular formula for y. c) Estimate at which year AXP will achieve its maximum supply volume in the market. d) Suppose start from the second year onwards, the cryptocurrency trading market faced tightened trading regulation, how do you think it will impact AXP supply in the cryptocurrency trading market