Given an actual demand of $50,$ its forecast of $53,$ and an $\backslash$alpha of $\mathrm{.}4,$ what would be the forecast for the next period using exponential smoothing?

a$.$

$52\mathrm{.}4$

b$.$

$50\mathrm{.}6$

c$.$

$51\mathrm{.}8$

d$.$

$58\mathrm{.}9$