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There are two goods: x and y. A consumer's utility function isu(x, y) = 5x2y + 10x3and that consumer has income of m = 189.18. What is the marginal rate of substitution for this consumer?19. Write out the Lagrangian associated with the consumer's problem.20. If the price of good y is py = 3 and the price of good x is px = 20, find the quantities demandedby the consumer.

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