Answer
The formula of the compound is:
$3,7-diethyl-2,2,8-trimethyldecane$
Work Step by Step
The longest carbon chain has 10 carbon atoms (-dec). There are 3 methyl substituents, two on position 2 and one on position 8. There are two ethyl substituents, one on position 3 and one on position 7. Listing the substituents in alphabetical order, the formula of the compound is:
$3,7-diethyl-2,2,8-trimethyldecane$