dolution

A certain manufacturer produces two articles, A and B, for which it requires the use of two production sections: assembly section and painting section. Item A requires one hour of work in the assembly section and two in the painting section; and article B, three hours in the assembly section and one hour in the painting section. The assembly section can only be in operation for nine hours a day, while the painting section can only run for eight hours a day. The profit obtained by producing article B is 40 euros and that of A is 20 euros. Calculate the daily production of items A and B that maximizes profit

to. Graphically solve linear programming problems,
b. Interpret your answers.