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Omondi makes 2 types of shoes: A and B. He takes 3 hours to make one pair of type A and 4 hours to make one pair of type B. He works for a maximum of 120 hours to make x pairs of type A and y pairs of type B. It costs him sh.400 to make a pair of type A and sh.150 to make a pair of type B. His total cost does not exceed sh.9000.He must make 8 pairs of type A and more than 12 pairs of type B.
a).Write down four inequalities representing information above.
b).On the grid provided, draw the inequalities and shade the unwanted regions.
c). Omondi makes a profit of sh.40 on each pair of type A and sh.70 on each pair on type B shoes .Use your graph to determine the maximum possible profit he makes.