Bob is a photographer who sells prints on consignment. Each week during the summer, Bob checks the inventory so that he can replenish the prints that have been sold. The following data show the number of prints sold each week during the last eight weeks. Complete parts a through e below.

$\backslash$table$[[$Week$,1,2,3,4,5,6,7,8],[$Sold$,12,7,6,15,20,14,12,10]]$

The forecasted demand for Week $9$ using a two$-$period simple moving average is $($Type an integer or a decimal. Do not round.$)$

b$)$ Calculate the MAD for the forecast in part a$.$

MAD $=$

$($Round to two decimal places as needed.$)$

c$)$ Forecast the demand for Week $9$ using a three$-$period simple moving average.

The forecasted demand for Week $9$ using a three$-$period simple moving average is $($Round to two decimal places as needed.$)$

d$)$ Calculate the MAD for the forecast in part $c.$

MAD $=$

$($Round to two decimal places as needed.$)$

e$)$ Which forecast should you choose?

Choose the correct answer below.

A$.$ Choose the two$-$period simple moving average, because it has the lower MAD.

B$.$ Choose the two$-$period simple moving average, because it has the higher MAD.

C$.$ Choose the three$-$period simple moving average, because it has the lower MAD.

D$.$ Choose the three$-$period simple movIng average, because it has the higher MAD