The number of shoppers queuing at any given time in a certain supermarket
downtown Miami can be approximately represented by the equation: y = x3 –
14×2 + 50x over the range 0 ≤ x ≤ 8.5, where y is the number queuing and x is
the time in hours after the store opens at 9.00 a.m. (so that, for example 10:30
a.m. is x = 1.5, and 5:30 p.m. – when the store closes – is x = 8.5).
Required:
(i) The management want to know when they should deploy more cashiers
and the
number queuing at that time. (5 marks)
(ii) Determine the number of man-hours spent per day by shoppers
queuing.
(3 marks)