A farmer needs at least 50 cows for a new herd. He can buy brown cows (x) at N$ 6000
each and black cows (y) at N$ 4000 each and he can spend a total of no more than N$ 240
000. He wants at least 30 brown cows. On selling the cows he makes a profit of N$ 1000
on each brown cow and N$ 1200 on each black cow.
a) Write all the inequalities. (3)

b) Draw a sketch graph and shade the feasible region. (8)

c) Find the coordinates of the corner points of this region. (6)

d) Determine the combination which will ensure the biggest profit? (6)

e) What is this profit? (2)