The first relation gives two y-values for any given x-value (except x=6).
y² +x = 6 . . . . . is not a function
y² +x = 6 . . . . . is not a function
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The maximum profit is the y-coordinate of the vertex of the parabola represented by the equation.
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The maximum value is 6400, but the profit is given in hundreds of dollars, so multiply the value by 100.
The maximum profit the company can make is $640,000.