Find the absolute extrema of the function f(x, y) = − 2x² + xy + 3y² − 5x – 2y + 3 on the domain defined by 2 ≤ x ≤ 8 and 3 ≤ y ≤ 5. Please show your answer to at least 4 decimal places. Absolute Maximum: Absolute Minimum: Find the absolute extrema of the function f(x, y) = − x² - y² - x - y +4 on the domain defined by x² + y² ≤ 64. Round answers to 3 decimals or more. Absolute Maximum: Absolute Minimum: Suppose that one factory inputs its goods from two different plants, A and B, with different costs, 4 and 7 each respective. And suppose the price function in the market is decided as p(x, y) = 100 - X y where x and y are the demand functions and 0 ≤ x, y. Then as = 48 X = 0 y = the factory can attain the maximum profit, 1 X