Item 2. A tailor makes school uniforms for boys and girls. The tailor makes at least 80 sets of uniforms for boys and not more than 100 sets of uniforms for girls. Each set uniform for boys requires 4m of material and each set of uniform for girls requires 3m of material. The tailor has at most 600m of the material to use. The tailor makes a profit of sh. 8000 on each set of boys’ uniform and shs 10000 on each set of girls’ uniform. The tailor is not sure of the number of sets of uniforms to make in order to maximize profit.

Task:

a) Express the tailor’s conditions as inequalities and equations

b) Show the feasible region of the tailor’s condition on a Cartesian plane.

c) Help the tailor to determine the possible number of sets of boys’ and girls’ uniforms that should be made to maximize profit. Hence state the maximum amount of money the tailor is likely to make.