i don't understand how to solve this problems and how to graph the problems

1.You win a 'Microeconomic course' lottery and are offered the choice of a lump sum payment of $975,000.00 (NOW) or five annual payments of $175,000.

What is the lottery's payment plan implied rate of time preference (approximation is OK)? Show payment stream versus lump sum payment calculation table.

Dr Q takes the lottery payments is the Dr's implied rate of time preference higher or lower than the lottery's time preference?

Would you take the lottery lump payment of $975,000 or the lottery's 5 annual payments of $175,000? Briefly explain the rationale for your decision.

2.Construct the graph(s) of, and explain the differences between, a 'Simple Monopoly' and a 'Perfectly Price Discriminating Monopoly'?

What quantity of goods/services would these entities produce given the same cost structure?

What happens to 'Consumer Surplus', 'Excess Profit' and, 'Dead Weight Loss', as a market evolves from 'Simple Monopoly' to 'Perfectly Price Discriminating Monopoly'?