$\backslash$table$[[$Period$,$Actual Sales Volume$],[1,10,000],[2,11,400],[3,14,550],[4,15,050],[5,17,250],[6,18,500],[7,15,700],[8,19,500],[9,22,200]]$

Using Data Set A$1,$ what would be the forecast for period $5$ using the exponential smoothing method? Assume the forecast for period $4$ is $14000.$ Use a smoothing constant of $=0\mathrm{.}4($Choose the closest answer.$)$

a$.15,050$

b$.15,350$

c$.14,575$

d$.14,420$