Una carpinteria determina que su utilidad en dólares por fabricar x puertas por semana está dada por la expresión u(x) = -2x² + 104x - 330. Determina la cantidad de puertas que deben fabricarse por semana para que la utilidad sea máxima.

let's first notice, the center of the hyperbola is at the origin, since the focus points are equidistantly 3 units away from the origin, that also means that the distance "c" from the center to either focus is 3.

it should also be notable that, the traverse axis for this hyperbola is vertical, or namely over the y-axis and therefore, the positive fraction will be the one with y-variable.

the traverse "a" component or distance from the center to either vertex is not 2, is more than 2, so we can safely put it at √5 ≈ 2.24.

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