On August $1,$ Year $1,$ SuperCool Software $($SCS$)$ began developing a software program to allow individuals to customize their investment portfolios. Technological feasibility was established on January $31$st of year $2,$ and the program was available for release on March $31,$ year $2.$ Development costs were incurred as follows:August $1$ through December $31,$ Year $1$$ $4,000,000$January $1$ through January $31,$ Year $2600,000$February $1$ through March $31,$ Year $2900,000$SCS expects a useful life of five years for the software and total revenues of $$10,000,000$ during that time. During Year $2,$ SCS recognized $$2,000,000$ in revenue, included in the $$10,000,000$ total revenue estimate.Calculate the required amortization for Year $2($Hint: calculate using both methods, choose the greater number$)$