Question (3): Answer the following problem: (10 marks) A software developing corporation has determined that it needs to expand its current capacity. The decision has come down whether to expand now with a large facility or to undertake small expansion.Management has estimated the following: - The demand when being high is 0.60 - The demand when being Low is 0.40 Profits for each alternative have been estimated: - Large expansion has an estimated profitability of either $1000 000 or $600 000, depending on whether demand turns out to be high or low. - Small expansion has a profitability of $500 000 assuming that demand is low. - Small expansion with an occurrence of high demand would require considering whether to expand further. If the company expands at that point, the profitability is expected to be $700 000. If it does not expand further, the profitability is expected to be $500 000. Required: a- Draw a decision tree diagram and add the information that you are given.(5 marks) b- Compute the (EV) of the small and large expansion