Given an actual demand this period of 103, a forecast value for this period of 99, and an alpha of .4, what is the exponential smoothing forecast for next period?

The forecast for the next period is given as 100.6 s shown below.

Step-by-step explanation:

In forecasting using exponential smoothing, the applicable formula is given as:

Ft+1 =αDt  +(1−α)F  

Ft+1 implies the next forecast value,if this month forecast is given, invariably next month forecast is denoted by Ft+1 or Fnext which means next forecast which is the unknown here.

The alpha also known as the weighting factor is given as 0.4

Dt is the actual value  for this period at 103 while F is the forecast value for the current period and it is 99.

As a result,by slotting the variables into the formula,the forecast for next period is computed as:

Fnext=0.40(103)+(1-0.4)99

Fnext= 100.6

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation: