Answer
The name of the compound is:
$4-ethyl-2,5-dimethyl-1-hexyne$
Work Step by Step
The compound is an alkyne. Its longest carbon chain has 6 carbon atoms. It has 2 methyl substituents, one each at positions 2 and 5, and an ethyl substituent at position 4. It has a triple bond at position 1. Hence, its name is:
$4-ethyl-2,5-dimethyl-1-hexyne$