Consider a country that produces and consumes two goods, r and aggregate utility derived from consuming the two goods is y. The U(x, y) = xiy The two goods are produced using labor, and it takes a = 1...

Consider a country that produces and consumes two goods, r and aggregate utility derived from consuming the two goods is y. The U(x, y) = xiy The two goods are produced using labor, and it takes a = 1 units of labor to produce one unit of good x, and b 2 units of labor to produce one unit of good y. The country's consumption possibilities are limited by its total labor resources. L 200. As the ruler of the country, you are facing the problem of choosing a and y to maximize aggregate utility subject to the constraint ar + by