What would be the forecast of demand for the week October $18-$ October $24$ if you were using a simple exponential smoothing forecast model $($alpha value equal to $0\mathrm{.}20),$ which generated a forecast of $25\mathrm{.}10$ units for the week ending October $17,$ and the following demand data?

Actual

Week

Sept $27-$ Oct $3$

Demand

Oct $4-$ Oct $10$

$27$

Oct $11-$ Oct $17$

$25$

$31$

Select one:

a$.28\mathrm{.}60$ units

b$.29\mathrm{.}82$ units

c$.26\mathrm{.}28$ units

d$.$ some other value

e$.26\mathrm{.}20$ units