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A company is considering installing two types of machines. A and B. The information about each type of machine is given in the table below. The company decided to install x machines of types A and y machines of type B
(a) Write down the inequalities that express the following conditions
I. The number of operators available is 40
II. The floor space available is 80m2
III. The company is to install not less than 3 type of A machine IV. The number of type B machines must be more than one third the numbers of types A
machines
(b) On the grid provided, draw the inequalities in part (a) above and shade the unwanted region
(c) Draw a search line and use it to determine the number of machines of each type that should be installed to maximize the daily profit.