(Solved Homework): *I can't figure out numbers 1 & 3 National Scan, Inc., sells radio frequency inventory tags. Monthly sales…

*I can’t figure out numbers 1 & 3

National Scan, Inc., sells radio frequency inventory tags. Monthly sales for a seven-month period were as follows:

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Month	Sales (000)Units
Feb.	13
Mar.	21
Apr.	19
May.	23
Jun.	20
Jul.	26
Aug.	25

b. Forecast September sales volume using each of the following:

(1) A linear trend equation.(Round your intermediate calculations and final answer to 2 decimal places.)

Yt thousands

(2) A five-month moving average. (Round your answer to 2 decimal places.)

Moving average 22.6 thousands

(3) Exponential smoothing with a smoothing constant equal to .15, assuming a March forecast of 16(000). (Round your intermediate forecast values and final answer to 2 decimal places)

Forecast thousands

(4) The naive approach.

Naive approach 25.00 thousands

(5) A weighted average using .60 for August, .15 for July, and .25 for June. (Round your answer to 2 decimal places.)

Weighted average 23.9 thousands

Expert Answer

Answer

Linear trend y = a+bx

a = intercept

b = slope

x = time period

y = forecast for demand for period x

$b = (sum xy - nbar{x}bar{y})/(sum x^{2}-nbar{x}^{2})$

$a=bar{y}-bbar{x}$

n = no of peiods

$bar{x}=sum x/n$ = the mean of the x values

$bar{y}=sum y/n$ = the mean of the y values

Slope b = (635-(7*4*21))/(140-(7*4*4)) = 47/28 = 1.68

Intercept a = 21-(1.68*4) = 14.28

Y = 14.28 + 1.68x

Forecast for september(x=8) =14.28+(1.68*8) = 27.72

Exponential smoothing F_t

$F_{t}=F_{t-1}+alpha (A_{t-1}-F_{t-1})$

F_t = new forecast

F_t-1 = previous period forecast

A_t-1 = Previous period actual demand

$alpha = smoothing constant$

Forecast for september = 20.27

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