Audits can be categorized into $5$ types: $1)$ financial statement audits, $2)$ audits of internal control, $3)$ compliance audits, $4)$ operational audits, and $5)$ fraud audits.$$

Each of the following descriptions indicate which type of audit $($financial statement audit, audit of internal control, compliance audit, operational audit, or fraud audit$)$ best categorizes the nature of the audit being conducted. Also indicate which type of auditor $($ external auditor, internal auditor, government auditor, or fraud auditor$)$ is likely to perform the audit engagement including every appropriate type of auditor in your answer.$$

Evaluate the policies and procedures of the food and drug administration in terms of bringing new drugs to market.$$

Determine the fair presentation of Ajax chemicals balance sheet, income statement, and statement of cash flows.$$

Review the payment procedures of the accounts payable department for a large manufacturer$$

Examine the financial records pf a division of a corporation to determine if any accounting irregularities have occurred$$

Evaluate whether funds for a low income public housing project are being used in an efficient manner by the project manager in maintaining and upgrading the property$$

Evaluate a company's computer services department in terms of the efficient and effective use of corporate resources.$$

Audit the partnership tax return of a real estate development company$$

Investigate the possibility of payroll fraud in a labor union pension fund.$$