A car dealer in Big Rapids, Michigan is using Holt’s method to forecast weekly car sales. Currently the level is estimated to be 40 cars per week, and the trend is estimated to be 5 cars per week. During the current week, 20 cars are sold. After observing the current week’s sales, forecast the number of cars three weeks from now. Use a = B = 0.20

The forecast of the number of cars 3 weeks from now is 52 cars.

Step-by-step explanation:

As per the trent the number of the cars per week is 5 cars

The current level of cars is 40 cars per week

Number of cars sold in current week=20 cars

Forecast of the cars sold 3 weeks from now is given as

From the data

Y_t=20 cars

L_t-1=40 cars

T_t-1=5 cars

α=β=0.2

So the equation becomes

Now the trend is calculated as

By putting the values the equation becomes

Now the forecast of the cars sale 3 weeks from now is given as

where k is 3 so

So the forecast of the number of cars 3 weeks from now is 52 cars.

126.66 m²

step-by-step explanation:

the pertinent area formula is a = πr², where r is the radius.

here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²