This question: $3$ point$($s$)$ possible

Find the values of t and g with t$>=0$ and g$>=0$ that maximize the following utility function subject to the given constraint. Give the value of the utility function at the optimal point

U$=$f$($tg$)=162/3$g $1/3$ subject to $8$f$+4$g$=60$

What are the values of I and g at the optimal point?

The value of the utility function at the optimal point is