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.

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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.

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Gene
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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.

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Sodium 38.15 38.78 38.5 38.65 38.79 38.89 38.57 38.59 38.59 38.8 38.63 38.43 38.56 38.46 38.79 38.42 38.74 39.12 38.5 38.42 38.57 38.37 38.71 38.71 38.4 38.56 38.39 38.34 39.04 38.8 A supplier of bottled mineral water claims that his supply of water has an average sodium content of 36.6 mg/L. The boxplot below is of the sodium contents levels taken from a random sample of 30 bottles. With this data investigate the claim using SPSS to apply the appropriate test. Download the data and transfer it into SPSS. Check that your data transfer has been successful by obtaining the Std. Error of the mean for your data which should appear in SPSS output as 0.03900.. If you do not have this exact value, then you may have not transferred your data from the Excel file to SPSS correctly. Do not continue with the test until your value agrees as otherwise you may not have correct answers. Unless otherwise directed you should report all numeric values to the accuracy displayed in the SPSS output that is supplied when your data has been transferred correctly. In the following questions, all statistical tests should be carried out at the 0.05 significance level. Sample mean and median Complete the following concerning the mean and median of the data. mean =  mg/L 95% CI:  to  mg/L Based upon the 95% confidence interval, is it plausible that the average sodium content is 36.9 mg/L?      median:  mg/L The median value is      36.9 mg/L. Skewness Complete the following concerning the skewness of the data. Skewness statistic =        Std. Error =  The absolute value of the skewness statistic     less than 2 x Std. Error Therefore the data can be considered to come from a population that is      . Normality test Complete the following summary concerning the formal testing of the normality of the data. H0: The data come from a population that     normal H1: The data come from a population that     normal Application of the Shapiro-Wilk test indicated that the normality assumption     reasonable for sodium content (S-W(  )=  , p=   ). Main test Using the guidelines you have been taught that consider sample size, skewness and normality, choose and report the appropriate main test from the following ( Appropriate ONE ) You have selected that you wish to report the one-sample t-test. H0: The mean sodium content     equal to 36.9 mg/L H1: The mean sodium content     equal to 36.9 mg/L Application of the one-sample t-test indicated that the mean is      36.9 mg/L (t(  ) =  , p =   ). You have selected that you wish to report the Wilcoxon signed rank test. H0: The median sodium content     equal to 36.9 mg/L H1: The median sodium content     equal to 36.9 mg/L Application of the Wilcoxon signed rank test indicated that the median is      36.9 mg/L (z =  , N =  , p =   ).