Nelson Company had $$750,000$ cumulative operating losses prior to the beginning of last year. It had $$150,000$ in pre$-$tax earnings last year before using the past operating losses. It has $$300,000$ in the current year pre$-$tax earnings before using the past operating losses. It projects $$450,000$ pre$-$tax earnings next year. $($Note the maximum allowed carryforward loss is limited to $80\%$ of the unadjusted taxable operating income.$)$