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    un comerciante de papas fritas decide distribuir sus productos en cajas de cartón de base cuadrada y abiertas por arriba. para su construcción el comerciante dispone de hojas cuadradas de cartón de 48 cm de lado y las va a construir recortando de cada hoja un cuadrado de lado x de cada esquina y luego doblando como se muestra en la figura. calcula el volumen máximo que se puede tener en esta caja.

    Santiago

    Chicos, ¿alguien sabe la respuesta?

    obtenga un comerciante de papas fritas decide distribuir sus productos en cajas de cartón de base cuadrada y abiertas por arriba. para su construcción el comerciante dispone de hojas cuadradas de cartón de 48 cm de lado y las va a construir recortando de cada hoja un cuadrado de lado x de cada esquina y luego doblando como se muestra en la figura. calcula el volumen máximo que se puede tener en esta caja. de este sitio.

    [PDF] PROBLEMAS SOBRE FUNCIONES (ALUMNOS)

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    PROBLEMAS SOBRE FUNCIONES (ALUMNOS)

    January 21, 2018 | Author: Anonymous | Category: N/A

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    PROBLEMAS SOBRE FUNCIONES I.

    PLANTEAMIENTO Y RESOLUCIÓN DE PROBLEMAS

    PROBLEMAS PARA QUE LO RESUELVAN LOS ALUMNOS. En cada uno de los siguientes problemas, establecer el planteamiento mediante una función de una sola variable independiente, graficar y encontrar lo que se pide. 1. Un cohete se lanza verticalmente hacia arriba y esta a “x” pies sobre el suelo en “t” segundos después de ser encendido, donde x = 560t – 16t2 y la dirección es positiva hacia arriba. Grafica el comportamiento del movimiento del cohete y encuentra la altura máxima. 2. Se dispara un proyectil hacia arriba desde el suelo con una velocidad de 40 m/seg. Su distancia sobre el suelo a los “t” segundos es x= 40t – 4.5t2 metros. Encuentra la altura máxima a la que llega y en que tiempo llega al suelo. 3. Hallar dos números positivos que sumen 60 y que el producto sea máximo. 4. Una compañía que vende productos de belleza a domicilio, recubrió que la utilidad anual “U” esta en función de los representantes de ventas “x” y se expresa como f(x) = U= -12.5x2 + 137.5x – 1500 ¿Qué número de representantes producirán la utilidad máxima. 5. La demanda del producto de una compañía varía según el precio que le fije el producto. La compañía ha descubierto que el ingreso total anual “I” (expresado en miles de dólares) es una función del precio “x” (en dólares), y esta dado por: I = f(x) = -50x2 + 500x Determina el precio que deberá cobrarse con el objeto de maximizar el ingreso total y cual es el valor máximo de ingreso total anual. 6. Se sabe que al comprar una computadora nueva su precio es de $ 13,500, su valor decrecerá en $975 cada año. a) Escribe una función que represente el valor V(t) de la computadora en función del número de años “ t ” después de su adquisición. b) Si el valor de la computadora es de $3,750.00 después de “t” años de su adquisición ¿Cuántos años pasaran para llegar a ese precio? 7. Una compañía de taxis cobra $5 por un viaje y $0.80 adicionales por cada kilómetro que recorre. a) Escribe una función que representa la cantidad P(x) de dinero que debe pagar un pasajero como función del número “x” de kilómetros recorridos. b) Si el pasajero pagó $ 33 ¿Cuántos kilómetros recorrió? c) Si un pasajero tiene sólo $9 para viajar, ¿Cuántos kilómetros recorrerá como máximo en su viaje? 8. Una empresa tiene un gasto G(x) en función del número de artículos “x” que produce, y se sabe que esta función es lineal. Cuando la empresa produce 100 artículos, su gasto es de $1,375 y cuándo ningún artículo se produce es de $425. a) Escribe los gastos como una función del número de artículos que produce. b) Si la empresa gasto $10,400 ¿Cuántos artículos produjo? 9. Una fabrica de pelotas de tenis tiene costos fijos de $14, 700 y le cuesta $3.50 fabricar cada pelota. Si la empresa vende una pelota a $35. a) Escribe la función de costo. b) Escribe la función de ingreso c) Escribe la función utilidad d) ¿Cuál es el costo, el ingreso y la utilidad total, si la empresa produce y tiene 5000 pelotas. 10. Una empresa tiene costos fijos de $13,000 y la producían de cada artículo le cuesta $28.00. a) Escribe la función de costo. b) Si la empresa tiene costos de producción de $41,400 ¿Cuántos artículos pueden producir?

    I. PLANTEAMIENTO DE PROBLEMAS En cada uno de los siguientes problemas, establecer el planteamiento mediante una función de una sola variable independiente 1) El departamento de recreación de la ciudad planea construir un campo de juego rectangular de 3,600 m 2. El campo del juego ha de estar rodeado de una cerca. Expresa la cantidad de cerca necesaria en función de la medida de la de la longitud del terreno (x). 2) Un fabricante produce cierto artículo a un costo de $12.00 cada uno. Si los vende a “x” pesos, entonces podrá vender (300 – x ) artículos a la semana. Expresa la utilidad semanal en función de “x” . 3) Una persona desea cercar un jardín rectangular que tendrá una superficie de 1,500 ft2. Expresa la cantidad de cerca necesaria en función de la longitud del terreno (x).

    4) El dueño de un rancho quiere construir un corral de jineteo de forma rectangular que tenga una superficie de 5,000m2. Expresa la longitud de la cerca en función de la longitud del terreno (x). 5) Una caja sin tapa se construye con un pedazo de cartón de 70 por 80 cm., cortando un cuadrado de cada esquina. Expresa el volumen de la caja en función de la longitud del lado del cuadrado. 6) Se desea cercar un terreno rectangular con 500 metros de cerca. Expresa el área del terreno cercado en función de la medida de la longitud del terreno (x) 7) Un distribuidor de automóviles desea cercar un área de estacionamiento para almacenar los automóviles nuevos producidos en Japón. El área deberá tener una superficie total de 1,000,000 m2 y sus dimensiones serán como lo muestra la siguiente figura.

    x fondo ESTACIONAMIENTO y frente

    Por consideraciones de seguridad la sección de la cerca en parte frontal del lote será mas sólida y alta que la que se usara en los lados y la parte posterior. El costo de la cerca en la sección frontal es de $200 por metro y la que se utilizará en los otros tres lados costará $12 por metro. Expresa el costo de la cerca en función de la longitud de la parte frontal. 8) Una caja abierta con forma cuadrada ha de construirse por $80.00. Los lados de la caja costaran $4.00 por ft2 y la base costara $6.00 por ft2. Expresa el volumen de la caja en función de la medida del lado de la base.

    fuente : nanopdf.com

    Un comerciante de papas fritas decide distribuir su producto en cajas de cartón de base cuadrada y

    Un comerciante de papas fritas decide distribuir su producto en cajas de cartón de base cuadrada y abiertas po… Recibe ahora mismo las respuestas que necesitas!

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    fuente : brainly.lat

    ejemplo problemas de calculo

    material de las caras laterales es de $ 5 por dm2 y el costo de la tapa y el fondo es de $10 por dm2. Calcular las dimensiones aproximadas de la caja para

    ejemplo problemas de calculo

    Páginas: 2 (340 palabras) Publicado: 27 de marzo de 2014

    1. La empresa “jugos de temporada S.A” desea exportar jugo en cajas rectangulares de base cuadrada con un volumen de 12 litros. El costo del material de las caras laterales es de $ 5 por dm2 y elcosto de la tapa y el fondo es de $10 por dm2. Calcular las dimensiones aproximadas de la caja para que el costo de su elaboración sea el mínimo.

    S= 2x2+xy4

    V= x2y = 12 y = 12/x2

    S=2x2+4x(12/x2) = 2x2+48/x

    S’= 4x+(-48)(1)/x2 = 4x3-48/x2

    4x3-48=0 x3=48/4 = 12

    x= = 2.28 y= 12/(2.28)2 = 2.31

    2. Una ventana de forma rectangular coronada con un triángulo equilátero tieneun perímetro de 5m. Expresa el área en función de la altura del rectángulo.

    P=x+y+x+x+y=5 P=3x+2y=5 A= A + A A= bh = xy+x2 h=y 2y=5-3x y=12-3x/2

    Área en función de la alturaA= x(12-3x/2)+ x2

    3. Se desea construir una lata cilíndrica que tenga capacidad de 350 ml.¿ Cuáles serían las dimensiones aproximadas para que la cantidad de material requerida en suconstrucción sea mínima?

    V=350 ml V=∏r2*h

    At= 2∏r2+2∏r*h h=350/∏r2

    At= 2∏r2+2∏r*350/∏r2

    At= 2∏r2+700/∏r2 At’= 2∏*2r-700/∏r2 At’= 4∏3-700/∏r2 0= 4∏r3-700 700=4∏r3 r= = 3.81

    h=350/∏ (3.81)2 = 7.69 Dimensiones: r= 3.81 cm h= 7.69 cm

    4. Un comerciante de papas fritas decide vender su producto en cajas de cartón de base cuadrada abiertas por arriba. Para su construcción elcomerciante dispone de hojas cuadradas de cartón de 48 cm. Encontrar la longitud del cuadrado que debe de recortar para que el volumen de la caja sea máximo

    V= (48-2x)(48-2x)(x) D= x[0,24]= (48-2x)(48x-2x2)

    = 2x3-192x2+2304x

    V’= 2[3x2]-192[2x]+2304

    V’= 6x2-384x+2304 0= 6(x2-64x+162) 0/6=6/6(x2-64x+162) 0=( x2-64x+162) =61.35 =2.65

    L= 48-2(2.65) L= 42.75. Un campesino dispone de un terreno rectangular de 3000m^2 de superficie y quiere cercarlo y dividirlo en 5 partes iguales para el cultivo de 5 hortalizas. Calcula las dimensiones apropiadas...

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    Santiago 12 day ago
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