Question

Application 1 – 30 points The company “PEP Ltda.” presents information about its inventory and sales costs, both in thousands of pesos and on a semi-annual basis from 2015 to 2018. This information is presented in the following table: Semester Costs (X) Sales (Y) S1 – 2020 $12,000 $40,200 S2 – 2020 $15,000 $45,000 S1 – 2021 $11,250 $38,000 S2 – 2021 $13,350 $39,500 S1 – 2022 $17,400 $46,000 S2 – 2022 $13,800 $38,000 S1 – 2023 $15,750 $44,300 S2 – 2023 $14,400 $37,800 a) Determine the equation that estimates sales for the following periods using the MCO method. Determine and interpret the coefficients and the general and individual analysis of the regression (10 points). b) Suppose that the company generates a net profit equal to 20% of sales. If information is available on inventory costs for the next 3 years, determine the net profit obtained by the company for each period (20 points). Semester Costs (X) S1 – 2024 $16,500 S2 – 2024 $17,400 S1 – 2025 $18,000 S2 – 2025 $18,750 S1 – 2026 $19,650 S2 – 2026 $20,550

likes

267 views

Answer to a math question Application 1 – 30 points The company “PEP Ltda.” presents information about its inventory and sales costs, both in thousands of pesos and on a semi-annual basis from 2015 to 2018. This information is presented in the following table: Semester Costs (X) Sales (Y) S1 – 2020 $12,000 $40,200 S2 – 2020 $15,000 $45,000 S1 – 2021 $11,250 $38,000 S2 – 2021 $13,350 $39,500 S1 – 2022 $17,400 $46,000 S2 – 2022 $13,800 $38,000 S1 – 2023 $15,750 $44,300 S2 – 2023 $14,400 $37,800 a) Determine the equation that estimates sales for the following periods using the MCO method. Determine and interpret the coefficients and the general and individual analysis of the regression (10 points). b) Suppose that the company generates a net profit equal to 20% of sales. If information is available on inventory costs for the next 3 years, determine the net profit obtained by the company for each period (20 points). Semester Costs (X) S1 – 2024 $16,500 S2 – 2024 $17,400 S1 – 2025 $18,000 S2 – 2025 $18,750 S1 – 2026 $19,650 S2 – 2026 $20,550

$Expert avatar$

Andrea

4.5

86 Answers

a)
1. Calcular la media de los costos y ventas (en miles de pesos):

\bar{X} = \frac{12{,}000 + 15{,}000 + 11{,}250 + 13{,}350 + 17{,}400 + 13{,}800 + 15{,}750 + 14{,}400}{8} = 14{,}368.75

\bar{Y} = \frac{40{,}200 + 45{,}000 + 38{,}000 + 39{,}500 + 46{,}000 + 38{,}000 + 44{,}300 + 37{,}800}{8} = 41{,}225

2. Calcular la pendiente (b) y la intersección (a) de la ecuación de regresión:

b = \frac{\sum (X_i - \bar{X})(Y_i - \bar{Y})}{\sum (X_i - \bar{X})^2} = 1.29375

a = \bar{Y} - b\bar{X} = 22165.02

Ecuación de regresión:

Y = 22165.02 + 1.29375X

b)
1. Para los costos futuros, se usa la ecuación de regresión para estimar las ventas:

Y_{2024_1} = 22165.02 + (1.29375 \times 16{,}500) = 39{,}397.425

Y_{2024_2} = 22165.02 + (1.29375 \times 17{,}400) = 40{,}051.2

Y_{2025_1} = 22165.02 + (1.29375 \times 18{,}000) = 40{,}462.515

Y_{2025_2} = 22165.02 + (1.29375 \times 18{,}750) = 41{,}116.825

Y_{2026_1} = 22165.02 + (1.29375 \times 19{,}650) = 41{,}565.015

Y_{2026_2} = 22165.02 + (1.29375 \times 20{,}550) = 42{,}013.2

2. Calcular la utilidad neta (20% de las ventas):

U_{2024_1} = 0.2 \times 39{,}397.425 = 7879.485

U_{2024_2} = 0.2 \times 40{,}051.2 = 8010.24

U_{2025_1} = 0.2 \times 40{,}462.515 = 8092.503

U_{2025_2} = 0.2 \times 41{,}116.825 = 8190.665

U_{2026_1} = 0.2 \times 41{,}565.015 = 8313.003

U_{2026_2} = 0.2 \times 42{,}013.2 = 8435.34

Frequently asked questions (FAQs)

What is the area of a triangle with side lengths 5, 12, and 13, using Heron’s Formula?

What fraction is 75% of a whole number?

What is the formula for calculating the circumference of a circle?

New questions in Mathematics

Find 2 numbers that the sum of 1/3 of the first plus 1/5 of the second will be equal to 13 and that if you multiply the first by 5 and the second by 7 you get 247 as the sum of the two products with replacement solution

the value of sin 178°58'

A drawer contains three pairs of white socks, five pairs of black socks and two pairs of red socks. Caden randomly selects two pairs of socks on his way to the gym. What is the probability that both pairs of socks are black?

58+861-87

Consider numbers from 1 to 2023. We delete 3 consecutive numbers so, that the avarage of the left numbers is a whole number

Using the integration by parts method, calculate the integral of [x².ln(1/x)]dx: x 4 /4 x³/6 x 4 /8 x³/3 x 4 /6

What’s 20% of 125?

All the liquid contained in a barrel is distributed into 96 equal glasses up to its maximum capacity. We want to pour the same amount of liquid from another barrel identical to the previous one into glasses identical to those used, but only up to 3/4 of its capacity. How many more glasses will be needed for this?

The miles per gallon (mpg) for each of 20 medium-sized cars selected from a production line during the month of March are listed below. 23.0 21.2 23.5 23.6 20.1 24.3 25.2 26.9 24.6 22.6 26.1 23.1 25.8 24.6 24.3 24.1 24.8 22.1 22.8 24.5 (a) Find the z-scores for the largest measurement. (Round your answers to two decimal places.) z =

calculate the normal vector of line y = -0.75x + 3

I need to know what 20% or £3292.75

The price per night of a suite at the Baglioni Hotel in Venice is 1896 euros, VAT included. The VAT in Italy is 25%. The hotel gets a return of 10% out of the price VAT included. a) What is the amount of VAT paid by the hotel for one

A storage maker price is $2.50 per square feet. Find the price of a custom shed 4 yards long, and 5yards wide and 8 feet tall

Solve equations by equalization method X-8=-2y 2x+y=7

Take the limit of (sin(x-4))/(tan(x^2 - 16) as x approaches 4.

Given the word WEIRD, determine a four-letter offspring that can be formed with the letters of the word written above

Read the “Local Communities as Stakeholders: Does Amazon Really Need Tax Breaks?” example on p. 83 in Ch. 3 of Management: A Practical Introduction. In your response, discuss whether you feel that tax breaks for big companies benefit local communities. Describe ways to attract business to a region without having a negative impact on the larger community.

Triangle ABC has AB=AC and angle BAC =X, with X being less than 60 degrees. Point D lies on AB such that CB = CD Point E lies on AC such that CE= DE Determine angle DEC in terms of X

Find the orthogonal projection of a point A = (1, 2, -1) onto a line passing through the points Pi = (0, 1, 1) and P2 = (1, 2, 3).

97,210 ➗ 82 division

You might be interested in