Central Ltd has three mutually exclusive products and needs to decide which one to launch. The company believes that demand for the products will vary depending on their competitor$$s action. Management of Central Ltd estimates that there is a $30\%$ chance that competitor$$s reaction to their product$-$to$-$be launched will be strong, a $20\%$ chance that competitor reaction will be normal and a $50\%$ chance that competitor reaction will be weak. The expected net cash flow for each of the possible outcomes of the competitor$$s reaction is as follows:

Required:

i$.$ Based on the expected cash flows and other information provided, provide a recommendation to Central Ltd on which product it should launch. Provide reasons to support your recommendation with calculations.

ii$.$ Central Ltd is approached by a market consultancy firm, Consumer Analysis Ltd$,$ which can provide the company with a report that shows perfect information on potential competitor reaction in the market. If Central Ltd decides to purchase the consultant report by Consumer Analysis Ltd$,$ what is the maximum amount that the company should pay for? Show your workings.