Concept:
A Writ of Mandamus is issued by the Supreme Court or a High Court to direct a public authority, government official, tribunal or corporation performing public duties to carry out a legal duty that it has failed or refused to perform.
Step 1: Understand the purpose of Mandamus.
Mandamus literally means "We Command." It compels the performance of a public or statutory duty.
Step 2: Analyse the options.
• An official to perform public duty -- Correct.
• The Prime Minister to dissolve the Cabinet -- Incorrect.
• The Government to fix minimum wages -- Not the purpose of Mandamus in this context.
• A corporate company to pay salaries to its employees -- Mandamus is generally not issued against private bodies unless they perform a public duty.
Step 3: Final conclusion.
Hence, the correct answer is
\[
\boxed{\text{An official to perform public duty}.}
\]