Which short-term financial managers are involved with selling on credit and are directly responsible to the vice president of finance?

The credit manager, and the Controller

Explanation:

The credit manager is responsible for maintaining the credit policy, in order to fulfil this target they are responsible to look at the sales and ensure the credit sales are in the sales limit.

Further that the company do not have the bad debts, it shall verify each customer properly that they have enough funds, and ensure their credibility.

Controller is responsible for maintaining the financial records of accounts, and reporting the transactions to managers.

Accordingly, Credit manager along with controller are directly responsible to the vice president of finance.