Please help me with the third question, thank you !

The Widget Factory is considering an expansion of manufacturing capacity at a cost of $1,000,000. The cost for no expansion is $0. There is an estimated 0.4 chance of a Better Economy as opposed to a Worse Economy. The current facility can produce enough goods for a $2,500,000 profit in a Better Economy and a $600,000 profit in a Worse Economy. The expanded facility could produce enough goods for a $4,500,000 profit in a Better Economy and a $1,250,000 profit in a Worse Economy. Jerry Lind is a writer of adventure novels. A movie company and a TV network each want exclusive rights to one of her more popular books. If she signs with the network, she will receive a single lump sum payment of $900,000. If she signs with the movie company the amount she receives will depend on the market response to the movie. If the movie has a "small" market acceptance she will get $600,000. If the movie has a "medium" market acceptance she will get $850,000. A "large" market acceptance would pay her $1,000,000. The probability for "small" is 0.3, "medium" is 0.6, and "large" is 0.1. You are working for in the corporate IT group at TIC Corp. Where management wants to install a new software platform. You have been tasked to assist in the justification of this proposed acquisition. A 5 year contract has been proposed. Two payment options are immediately on the table: a single payment of $45,000 at the beginning of the first year or annual payments of $10,000 at the beginning of each year. The annual value to TIC has been set at $11,500. The cost of capital is specified as 3%. Through further conversations with the vendor representatives it has been found that a single payment agreement will trigger sales bonuses for the sales team. What target single payment value should be suggested to the TIC decision makers for use in further negotiations? Analyze these 3 potential purchase scenarios using Internal Rate of Return and be prepared to answer a set of questions in eLearning