Two machines, A and B are used to process certain items. The cost function
for each machine is given by:
Machine A: Y = 15 + 3X Machine B: Y = 18 – X + X2
Where: Y is the cost of producing X items (Sh. ‘000’)
X is the number of items produced per hour in hundreds
Required:
If the maximum speed at which each machine can run is 400 items per hour,
then:
(i) Using a graph (no calculations) determine the range of production for
which each item is produced more cheaply using each machine.
(6 marks)
(ii) Determine which machine should be used if five hundred items are
produced.