Does the function y = x1x2 ever achieve a maximum? Explain.
To maximize (minimize) a function of many variables you use the technique of partial differentiation. We take a partial derivative for each of the unknown choice variables and set them equal to zero.
y'(x1) = x2 = 0,
y'(x2) = x1 = 0.
So, there is a minimum point (0; 0), but no maximum point for this function.
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