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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 #80m^2#
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.