Maximum value in enclosed area
Let be the set of points in the -plane such that Then what is the maximum value of
The answer is 4.
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1 solution
The function f(x) = -x^3 - x^2 + x + 1 is strictly increasing over x = [-1, 0]. Hence, the minimum value of 3x + 4y is achieved at (x,y) = (-1,0), or -3. The maximum value is achieved at (x,y) = (0,1), or 4.