Based on the fact pattern below, what is the company$$s free cash flow $($FCF$)$ for the period?

EBITDA $$500$

Depreciation & Amortization $($D&A$)50$

Interest Expenses $30$

Taxes Rate $40\%$

Capital Expenditures $($CapEx$)120$

Change in Accounts Receivable $50$

Change in Inventory $30$

Change in Accounts Payable $(40)$

a$.$ $$142$

b$.$ $$168$

c$.$ $$252$

d$.$ $$262$