Thank you for the opportunity to help you with your question!

since it is a restricted domain and a concave up graph the maximum occurs at one of the boundaries so the maximum occurs at either x=0 or x=4

by checking both the values we get max value at x=4

the max value is 8

if you need the graph ill upload it

aE3bWH8yab4EKyLet6hMH0DS.jpg

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