Interested in building a business based on your new found hobby of brewing craft beer, you are considering 3 potential investment projects. You have decided to compare the possible investments using a 10 year study period and will only consider investing in them if you can earn more than the 7.72% per year compounded monthly you are currently averaging from your stock market picks. Your first idea involves leveraging off the popularity of food trucks by creating a craft beer truck that could visit music festivals and other large licensed gatherings. An Ontario company can supply a custom ordered truck, complete with all of the required brewing equipment for $50 000. Your conservative estimates are, that working only by yourself, you can earn $12 000 per year attending a few festivals through the summer months. The estimated O&M costs for the truck are $4600 per year. Your second business idea is to start a brew pub. The start-up costs for all of the necessary brewing equipment and building renovations would be $750 000 You expect that the net earnings (after staff are paid) will be $175 000 per year. The O&M for both the kitchen and brewing equipment should be about $60 000 per year. Your third and most cautious idea involves investing in some higher end home brewing equipment at a cost of about $2000. With this equipment you should be able to sell some of your favourite brews to friends and family for $350 per year to help offset the costs of your hobby. This higher end equipment will require an annual dealer service inspection that will cost $50. During what year does your first idea become profitable? For example the AW is negative for years. 1. 2, 3, and_in which year does the AW become positive? Write out the equation that proves this. During what year does your second idea become profitable? For example the AW is negative for years. 1. 2, 3, and ... in which year does the AW become positive? Write out the equation that proves this. During what year does your third idea become profitable? For example the AW is negative for years, 1, 2, 3, and_in which year does the AW become positive? Write out the equation that proves this. Based on your analysis which idea would you choose to pursue? And Why? Fully justify your decision