Question

A company is considering replacing a machine on a production line to reduce operating costs. The equipment to be replaced was purchased two years ago for $1,000,000 and can be sold for $700,000. The machine to be replaced can be used for five more years, after which it can be sold for $100,000. The machine's operating costs are $800,000 annually. The company pays 10% taxes on profits. The new machine is worth $1,600,000 and can be used for five years before having to be replaced and in five years it can be sold for $240,000. During the period of use, it will allow to reduce the operating costs associated with the machine by $300,000 annually. The current machine will not be used and will be sold. All equipment depreciates annually by 20% of its value from the time of purchase. Ask Project the cash flow of the current situation Project cash flow with machine replacement Compare the alternatives and make a decision if it is worth replacing the machine. Please, I need this step by step in Spanish.

217

likes
1086 views

Answer to a math question A company is considering replacing a machine on a production line to reduce operating costs. The equipment to be replaced was purchased two years ago for $1,000,000 and can be sold for $700,000. The machine to be replaced can be used for five more years, after which it can be sold for $100,000. The machine's operating costs are $800,000 annually. The company pays 10% taxes on profits. The new machine is worth $1,600,000 and can be used for five years before having to be replaced and in five years it can be sold for $240,000. During the period of use, it will allow to reduce the operating costs associated with the machine by $300,000 annually. The current machine will not be used and will be sold. All equipment depreciates annually by 20% of its value from the time of purchase. Ask Project the cash flow of the current situation Project cash flow with machine replacement Compare the alternatives and make a decision if it is worth replacing the machine. Please, I need this step by step in Spanish.

Expert avatar
Gene
4.5
98 Answers
Claro, aquí tienes un análisis detallado y paso a paso en español para determinar si vale la pena reemplazar la máquina. ### 1. Proyección del Flujo de Caja en la Situación Actual **Datos:** - Costo original de la máquina: $1,000,000 - Valor de reventa después de 5 años: $100,000 - Costos operativos anuales: $800,000 - Depreciación anual: 20% - Tasa de impuestos: 10% **Cálculo de la depreciación:** La depreciación anual es el 20% del costo original de la máquina. \[ \text{Depreciación anual} = 1,000,000 \times 0.20 = \$200,000 \] **Flujo de caja anual (sin reemplazo):** \[ \text{Utilidad antes de impuestos} = \text{Ingresos} - \text{Costos operativos} - \text{Depreciación} \] Dado que no se mencionan ingresos adicionales, solo consideramos los costos operativos y la depreciación. \[ \text{Utilidad antes de impuestos} = - \$800,000 - \$200,000 = - \$1,000,000 \] \[ \text{Impuestos} = \text{Utilidad antes de impuestos} \times 0.10 = - \$1,000,000 \times 0.10 = - \$100,000 \] \[ \text{Utilidad neta} = \text{Utilidad antes de impuestos} - \text{Impuestos} = - \$1,000,000 - (- \$100,000) = - \$900,000 \] **Flujo de caja:** El flujo de caja es la utilidad neta más la depreciación (ya que la depreciación es un gasto no monetario): \[ \text{Flujo de caja anual} = - \$900,000 + \$200,000 = - \$700,000 \] **Flujo de caja total en 5 años:** \[ \text{Flujo de caja total} = (-\$700,000 \times 5) + \$100,000 = - \$3,500,000 + \$100,000 = - \$3,400,000 \] ### 2. Proyección del Flujo de Caja con Reemplazo de la Máquina **Datos:** - Costo de la nueva máquina: $1,600,000 - Valor de reventa después de 5 años: $240,000 - Reducción de costos operativos: $300,000 anuales - Costos operativos con la nueva máquina: $800,000 - $300,000 = $500,000 - Depreciación anual de la nueva máquina: 20% de $1,600,000 **Cálculo de la depreciación de la nueva máquina:** \[ \text{Depreciación anual} = 1,600,000 \times 0.20 = \$320,000 \] **Flujo de caja anual (con reemplazo):** \[ \text{Utilidad antes de impuestos} = - \$500,000 - \$320,000 = - \$820,000 \] \[ \text{Impuestos} = - \$820,000 \times 0.10 = - \$82,000 \] \[ \text{Utilidad neta} = - \$820,000 - (- \$82,000) = - \$738,000 \] **Flujo de caja:** \[ \text{Flujo de caja anual} = - \$738,000 + \$320,000 = - \$418,000 \] **Flujo de caja total en 5 años:** Incluimos la venta de la máquina anterior y la nueva al final de su vida útil: \[ \text{Flujo de caja total} = (-\$418,000 \times 5) + \$240,000 + \$700,000 = - \$2,090,000 + \$240,000 + \$700,000 = - \$1,150,000 \] ### 3. Comparación de las Alternativas - **Flujo de caja total sin reemplazo:** -$3,400,000 - **Flujo de caja total con reemplazo:** -$1,150,000 ### 4. Decisión **Conclusión:** Reemplazar la máquina resulta en una menor pérdida total ($1,150,000) en comparación con mantener la máquina actual ($3,400,000). **Por lo tanto, es recomendable reemplazar la máquina** ya que reducirá significativamente los costos operativos y las pérdidas a lo largo de los próximos 5 años.

Frequently asked questions (FAQs)
Math question: Find the x-value(s) for which the reciprocal function f(x) = 1/x is equal to 4. (
+
What is the maximum value of the tangent function within the interval [0, π/2]?
+
Math question: "Simplify log₂(8) + log₃(27) - log₄(64).
+
New questions in Mathematics
Hey👋🏻 Tap "Create New Task" to send your math problem. One of our experts will start working on it right away!
a ferry travels 1/6 of the distance between two ports in 3/7 hour. the ferry travels at a constant rate. at this rate, what fraction of the distance between the two ports can the ferry travel in one hour?
5/8 x 64
Find the equation of the normal to the curve y=x²+4x-3 at point(1,2)
Determine the correct value: A company knows that invoices pending collection have a normal distribution with a mean of $1.65 million, with a standard deviation of $0.2 million, then: The probability that an invoice pending collection has an amount that is within more than 2 deviations below the mean, is:
By differentiating the function f(x)=(x³−6x)⁷ we will obtain
An electrical company manufactures batteries that have a duration that is distributed approximately normally, with a mean of 700 hours and a standard deviation of 40 hours. Find the probability that a randomly selected battery has an average life of less than 810 hours.
Suppose 56% of politicians are lawyers if a random sample of size 873 is selected, what is the probability that the proportion of politicians who are lawyers will be less than 55% round your answer to four decimal places
A soft drink machine outputs a mean of 23 ounces per cup. The machines output is normally distributed with a standard deviation of 3 ounces. What is the probability of filling a cup between 26 and 28 ounces round your answer to four decimal places
calculate the normal vector of line y = -0.75x + 3
The ninth term of a given geometric progression, with reason q , is 1792, and its fourth term is 56. Thus, calculate the fourth term of another geometric progression, whose ratio is q +1 and whose first term is equal to the first term of the first P.G. described.
The function h(t)=-5t^2+20t+60 models the height in meters of a ball t seconds after it’s thrown . Which describe the intercepts and vertex of this function
Find the center coordinates and radius of a circle for an equation written as: 3x2 + 3y2 - 6y = —12× + 24
Sabendo+que+o+tri%C3%A2ngulo+ABC+%C3%A9+ret%C3%A2ngulo+e+que+um+de+seus+%C3%A2ngulos+mede+30+quanto+mede+o+terceiro+ tri%C3%A2ngulo
7.57 Online communication. A study suggests that the average college student spends 10 hours per week communicating with others online. You believe that this is an underestimate and decide to collect your own sample for a hypothesis test. You randomly sample 60 students from your dorm and find that on average they spent 13.5 hours a week communicating with others online. A friend of yours, who offers to help you with the hypothesis test, comes up with the following set of hypotheses. Indicate any errors you see. H0 :x ̄<10hours HA : x ̄ > 13.5 hours
A company made 150,000 in the first year 145,000 in the second 140,000 in the third year successively during the first decade of this company's existence it made a total of
Let G be the center of gravity of triangle ABC. We draw through A a parallel to BC on which we take a point D so that DG⊥BG. If the area of the quadrilateral AGBD is equal to s, show that AC·BD≥2·s.
Solve for z: 2z-6=10z+2
Today a father deposits $12,500 in a bank that pays 8% annual interest. Additionally, make annual contributions due of $2,000 annually for 3 years. The fund is for your son to receive an annuity and pay for his studies for 5 years. If the child starts college after 4 years, how much is the value of the annuity? solve how well it is for an exam
Write an equation of the affine function whose graph is perpendicular to the graph of f(x) = 5x − 1 and passes through the point (5, 20).