$MathMaster logo$

MathMaster

Home
general
he figures below show the weekly demand at an electrical repair workshop for a certain type of connector over a ten week p

Question

he figures below show the weekly demand at an electrical repair workshop for a certain type of connector over a ten-week period : Week no. 1 2 3 4 5 6 10 7 8 9 26 21 21 26 No. demanded 26 23 24 24 26 26 Use exponential smoothing with a-value of 0.2 to smooth the data and obtain a forecast for week 11. The forecast for the 11th week is?. (Round your intermediate and final answers to two decimal places.)

60

likes

300 views

Answer to a math question he figures below show the weekly demand at an electrical repair workshop for a certain type of connector over a ten-week period : Week no. 1 2 3 4 5 6 10 7 8 9 26 21 21 26 No. demanded 26 23 24 24 26 26 Use exponential smoothing with a-value of 0.2 to smooth the data and obtain a forecast for week 11. The forecast for the 11th week is?. (Round your intermediate and final answers to two decimal places.)

$Expert avatar$

4.8

105 Answers

### Solution:

Given:
-

\alpha = 0.2

-

S_1 = 26

### Calculations for Weeks 2 to 10:

#### Week 2:

S_2 = 0.2 \cdot 23 + 0.8 \cdot 26 = 25.4

#### Week 3:

S_3 = 0.2 \cdot 24 + 0.8 \cdot 25.4 = 25.12

#### Week 4:

S_4 = 0.2 \cdot 24 + 0.8 \cdot 25.12 = 24.90

#### Week 5:

S_5 = 0.2 \cdot 23 + 0.8 \cdot 24.90 = 25.12

#### Week 6:

S_6 = 0.2 \cdot 22 + 0.8 \cdot 25.12 = 25.30

#### Week 7:

S_7 = 0.2 \cdot 23 + 0.8 \cdot 25.30 = 25.44

#### Week 8:

S_8 = 0.2 \cdot 22 + 0.8 \cdot 25.44 = 24.55

#### Week 9:

S_9 = 0.2 \cdot 20 + 0.8 \cdot 24.55 = 23.84

#### Week 10:

S_{10} = 0.2 \cdot 20 + 0.8 \cdot 23.84 = 24.27

### Answer:
The forecasted demand for Week 11 using exponential smoothing with alpha = 0.2 is approximately

\boxed{24.27}

.

Frequently asked questions (FAQs)

What are the factors of 124?

+

What is the 4th order derivative of the function f(x) = 3x^5 + 2x^3 - x^2 + 7x + 1?

+

What is the slope-intercept form equation of a line passing through the point (4, 2) with a slope of -3?

+

New questions in Mathematics

A normally distributed population has a mean of 118 with a standard deviation of 18. What score separates the lowest 72% of the distribution from the rest of the scores?

What payment 7 months from now would be equivalent in value to a $3,300 payment due 23 months from now? The value of money is 2.7% simple interest. Round your answer to 2 decimal places. Show all work and how you arrive at the answer..

what is the annual rate on $525 at 0.046% per day for 3 months?

The durability of a tire of a certain brand is a Normal random variable with an average of 64,000 km and a standard deviation of 9,000 km. Assuming independence between tires, what is the probability that the 4 tires on a car will last more than 58,000 km?

show step by step simplification: (¬𝑑∨((¬b∧c)∨(b∧¬c)))∧((𝑎 ∧ 𝑏) ∨ (¬𝑎 ∧ ¬𝑏))∧(¬𝑐∨((¬𝑑∧𝑎)∨(𝑑∧¬𝑎)))

John he’s going to the carnival with his friends. He spends $25 on an admission ticket. He buys 10 games at X dollars each and two boxes of popcorn at Y dollars each. Write an expression to show the total cost of admission game, tickets and popcorn.

The two sides of the triangle are 12 cm and 5 cm, and the angle between the sides is 60°. Cover the area of the triangle!

1. A capital of $3,831 was lent, and it has produced interest of $840 from 05-12-2022 to 1-12-2023. At what annual simple interest rate was the capital lent?

Two particles of electrical charges Q1=3.8×10-⁶C and q,=4.4×10-⁶C are separated in vacuum by a distance of 4.0.10-⁸ m. Since K=9.0.10⁹ N.m²/C², the intensity of the interaction force between them, in newtons, is?

48 kg of 30% sulfuric acid in a mixture of 10% and 40% sulfuric acid arose. How many kilograms were each of the original solutions?

A 20,000 kg school bus is moving at 30 km per hour on a straight road. At that moment, it applies the brakes until it comes to a complete stop after 15 seconds. Calculate the acceleration and the force acting on the body.

What is the total amount due and the amount of interest on a 3-year loan of $1,000 at a simple interest rate of 12% per year?

If sin A=0.3 and cos A=0.6, determine the value of tan A.

9n + 7(-8 + 4k) use k=2 and n=3

12[4 + (8 + 7) + 5]

Mark is gluing a ribbon around the sides of a picture frame. The frame is 11 inches long and 7 includes wide. How much ribbon does Mark need?