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Derive the consumers optimal consumption bundle now suppose

Consider the utility function u(x, y) = 2 ln x + ln y. Initially,the prices are px = $2/unit and py = $1/unit. The consumer has an income of $18. Illustrate your answers with graphs.

Derive the consumer's optimal consumption bundle
Now suppose the price of good x increases to pr = $3/unit.What is the new optimal consumption bundle?
Calculate the substitution effect and the income effect.Illustrate it on a graph.

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