Free Essay

Dadada

In: Business and Management

Submitted By soheris
Words 400
Pages 2
Pedro Garvan
TAREA VIRTUAL 2

Pregunta 1 Una mujer quiere usar leche y jugo de naranja para incrementar la cantidad de calcio y vitamina A en su dieta diaria. Una onza de leche contiene 37 miligramos de calcio y 57 miligramos de vitamina A. Una onza de jugo de naranja contiene 5 miligramos de calcio y 65 miligramos de vitamina A. ¿Cuántas onzas de leche y jugo de naranja debería la mujer tomar cada día para consumir exactamente 500 miligramos de calcio y 1200 miligramos de vitamina A?

| | CALORIAS | VITAMINA A | | | | | | 1 onza leche | 37 | 57 | | 1 onza jugo | 5 | 65 | | | | | | x: onzas de leche | | | | y: onzas de jugo | | | | | | | (-5) | 37X+57Y=500 | | | (x37) | 5X + 65Y=1200 | | | | -185X-285Y=-2500 | | | | 185x+2405y=44400 | | | | 2120Y=41900 | | | | y=19.76 | | | | | | | | Reemplazando: | | | | | | | | 5X+6Y=1200 | | | | 5x=1200-65(19.76) | | | | X=-16.88 | | | | | | | | "x" no puede ser negativo | |

Pregunta 2 (5 puntos)
El costo marginal (Cmg) se define como el cambio del costo total (CT) ante el cambio de una unidad en el nivel de producción (Q). Si, se pide: 3Q2 -8Q+2

a) Encontrar la tasa de cambio mencionada cuando Q = 10 usando el método del límite y el método de la derivada.

Derivando: | | | | | | - Método Limites | | | | | CT(q) | =6q-8 | | | | | d(q) | | | | | | | | | | | | CT(q) | =6(10)-8 | | | | | d(q) | | | | | | | | | | | | CT(q) | = 52 | | | | | d(q) | | | | | | | | | | | | | | | | | | -Metodo de la derivada | | | | | | | | | | | Limite Q(Q0)= | CTQ0+QCTQ | | | | | | Q | | | | | | | | | | Limite Q(Q0)= | Q0+QQQQ02Q0+2 | | | | Q | | | | | | | | | | Limite Q(Q0)= | Q02+6Q0Q+3QQQQ02Q0-2 | | | Q | | | | | | | | | | Limite Q(Q0)= | 3QQQQ | | | | | | Q | | | | | | | | | | Limite Q(Q0)= | Q(3QQ0-8) | | | | | | Q | | | | | | | | | | Limite Q(Q0)= | QQ0-8 | | | | | | | | | | | Q0 =10 =3(0)+6(10)-8 = 52 | | | | |

b) Comente breve y adecuadamente los resultados y sus aplicaciones

Aunque en ambos métodos se orienta a los mismos resultados, el método de la derivada es mucho más directo

Pregunta 3

Sean las funciones convencionales de demanda y oferta (no necesariamente en ese orden) de mercado para un bien dado: P=a+bQ y P=c+dQ donde son mayores a cero. Se pide

a) Señale la función de oferta e identifique la condición que debe cumplirse para que la función restante sea una función de demanda (2 puntos)

Siendo a,b,c>0 | | | | | Función Oferta | | | | | P= a + bq | | | | | | | | | | | | Función Demanda | | | | | P = c + dq | | | | | | Se asume que d

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