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Xelga [282]
2 years ago
15

La utilidad máxima esperada por la venta de televisores en una tienda departamental para el primer mes se representa por la sigu

iente ecuación de utilidad U = - x2 + 500x + 100,000; obtenga las unidades y la utilidad máxima esperada por esa venta.
Mathematics
1 answer:
finlep [7]2 years ago
8 0

Explicación paso a paso:

La ganancia máxima esperada ocurre cuando dU / dx = 0

Dada la función U = - x2 + 500x + 100,000

dU / dx = -2x + 500

Dado que dU / dx = 0

Por lo tanto -2x + 500 = 0

Solución para x;

-2x = -500

x = 500/2

x = 250

Sustituya x = 250 en la función para obtener la máxima ganancia esperada como se muestra;

U = - (250) ^ 2 + 500 (250) + 100.000

U = -62500 + 125000 + 100000

U = 162,500 '

Por lo tanto, la ganancia máxima esperada por las ventas es de 162,500

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\underline{\text{Solution Method 2:}}

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