If accounts receivable and inventories increased by $85,000 (total), accounts payable increased by $14,000, and depreciation added up to $64,000, what was the firm's net income?

We can't define the firm's net income without additional information as either (1) or (2):

1) Revenues / all income, and all expenses

2) Operating cash-flow together with interest expense, and tax rate

Explanation:

If we can have the operating cash-flow, then we can define EBIT (profit / earnings before tax and interest) as below:

Operating cash-flow = EBIT + depreciation - increase of accounts receivable and inventories + increase of accounts payable.

Assuming Operating cash-flow is $100,000 then we have:

EBIT = $100,000 + $64,000 - $85,000 + $14,000 = $93,000

Assuming the firm have no interest expense and tax rate is 35%, then net profit = EBIT * (1 - tax rate) = $93,000 * (1-35%) = $60,450