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Find the values of ℓ and g with ℓ ≥0 and g≥0 that maximize the following...

Find the values of ℓ and g with ℓ ≥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(ℓ​,g)=6ℓ^1/2*g^1/2 subject to 4ℓ+5g=18

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