A cake shop wants to replace their aging bakery. For this, he wants to decide on one of the three situations with different furnaces and alternatives to buy and rent these furnaces. For the first alternative, he wants to buy a large furnace with a purchase cost of $ 48000 and a small furnace with a purchase cost of $ 13000. The annual usage cost of the big furnace, which has an economic life of 8 years, is $ 3000 and its scrap value is $ 12000. The small furnace has an annual usage cost of $ 550 and a scrap value of $ 3600 during its economic life of 4 years. For the second alternative, it is planned to buy a medium sized furnace with an annual purchase cost of $ 26000 and lease 2 of the small furnace with a rental cost of $ 6600. The annual usage cost of the medium size furnace with an economic life of 6 years is $ 1050 and its scrap value is $ 7500. In the third alternative, large and medium sized furnaces with rental costs of $ 25000 and $ 14000, respectively, are required to be leased. If the annual interest rate is 3%, find out which alternative is the preferred alternative by drawing the cash flow diagram of these 3 alternatives.