Evaluate each of the following transactions in terms of their effect on assets, liabilities, and equity.

$1.$ Buy $$15,000$ worth of manufacturing supplies on credit

$2.$ Purchase equipment for $$48,000$ in cash

$3.$ Receive payment of $$13,000$ owed by a customer

$4.$ Issue $$70,000$ in stock

What is the net change in Total Liabilities?