Question 1 A train can accommodate at most 80 passengers, economy class (x) and first-
class (y) passengers. To avoid making a loss the train must carry at least ten
economy class passengers and at least twenty first class passengers. Due to the
number of complementary items the first-class passengers receive, the number
of first-class passengers should be at most three times the number of economy
class passengers.
First class tickets cost N$5000 while economy class tickets cost N$3000.
i)
ii)
iv)
v)
vi)
State/ describe what the variables x and y represent.
State the objective function. C = 3000x + sovo y
List the constraints.
Draw and clearly label the constraints on graph paper.
Clearly show and label the feasible region.
From the graph deduce the number of economy and first-class tickets
that should be sold to make as much money as possible.
Work out the maximum amount of money from ticket sales that the
train company will make.
vii)​