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A theatre has a sitting capacity of 250 people. The charges are sh.100 for an ordinary seat and sh.160 for special seat. It costs sh.16, 000 to stage a show and the theatre must make a profit.There are never more than 200 ordinary seats and for a show to take place at least 50 ordinary seats must be occupied. The number of special seats is always less than twice the number of ordinary seats.
a).Taking x to be the number of ordinary seats and y the number of special seats write down all the inequalities representing the above information.
b). On the grid provided, Draw a graph to show the inequalities in a) above.
c).determine the number of seats of each type that should be booked in order to maximize the profit.