The manager of Synergy Company's Stock Division projects the following for next year:

Sales $$195,000$

Operating income $70,000$

Operating assets $385,000$

The manager can invest in an additional project that would require $$50,000$ investment in additional assets and would generate $$9,000$ of additional income. The company's minimum rate of return is $15\%.$ What is the residual income for the Stock Division without the additional investment?

a$.$ $$6,000$

b$.$ $$13,450$

c$.$ $$18,000$

d$.$ $$16,600$

e$.$ $$12,250$