You are working for a large data sciences company. The company manages a large number of data centers that require significant amount of cooling to prevent the high$-$performance machines from overheating. The company has recently started considering adding another unit with $1500$ cores, in line with their expansion plan for $2025.$ The new system will cost them $$1,580,000$ including installation and equipment and they are expecting an increase in revenue by $$600,000$ per year, and an additional operating and maintenance costs of $$60,000$ per year. The company has two paths to realize this expansion plans as listed below. Evaluate which plan would be best for the company. Plan $1$: They can raise a loan from the bank at $12\%$ rate of interest and $$100,000$ down$-$payment. Plan $2$: Sell stocks with the intent to buy$-$back in $4$ years time. The company will pay $$100,000$ annually in dividends to the investors. They expect the value of stocks to rise over the years, resulting in a buyback of company stakes at $$1,700,000$ after $4$ years. Assume that the equipment is regarded as a $5$ year property for MACRS depreciation and by the end of $6$ years, the technology will be obsolete with no book value. The expected MARR value to be $18\%,$ and a tax rate of $34\%.$