[2 marks] Fashion One Chain Store found that t weeks after the end of a sales promotion the volume of sales was given by
S(t)BAekt (0t4)
Where B = 50,000 and is equal to the average weekly volume of sales before the promotion. The sales volumes at the end of the first and third weeks were $83,515 and $65,055, respectively. Assume that the sales volume is decreasing exponentially.
a) Fin the decay constant k.
b) Findthesalesvolumeattheendofthefourthweek.