Answer
The name of the compound is 4,5-dimethyl-6-phenyl-2-octyne.
Work Step by Step
The longest carbon chain has 8 carbon atoms (-oct). It is an alkyne since it has a triple bond at position 2. It has 2 methyl substituents, one each at position 4 and 5. The benzene ring is treated as a substituent (phenyl) at position 6. Hence, the name of the compound is 4,5-dimethyl-6-phenyl-2-octyne.