Question: 1. Find all points where the given functions have any local extrema. Give the values of any local extrema. f(x,y) = 2y^3 +5x^2 +60xy +

1. Find all points where the given functions have any local extrema. Give the values of any local extrema.

f(x,y) = 2y^3 +5x^2 +60xy + 25.

2. Suppose that the profit of a certain firm is approximated by p(x.y) = 1000 + 24x - x^2 + 80y - y^2, where x is the cost of a unit of labor and y, is the cost of a unit of goods. Find values of x and y that maximize the profit. Find the maximum profit.

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