14. The profit function for one acre of soybeans is: P(x, y) = 0.01(-x² + 2xy - 5y2 + 100y + 5200) where x is the unit cost of fertilizer and y is the unit cost of hybrid soybean seed. Hint: Use partial derivatives to set-up a system of equations to solve to find maximum values. a) Find x and y values that maximize profit. b) Find the value of maximum profit.

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