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 Form 4 Mathematics Linear Programming Questions and Answers

Bot juice company has two types of machines,A and B,for juice production.Type A machine can produce 800 litres per while type B can produce 1600 litres per day.Type A machine needs 4 operators and type B needs 7 operators. At least 8000 litres must be produced daily and the total number of operators should not exceed 41.There should be 2 or more machines of each type. Letting x be the number of type A machines and y the number of type B machine
a).Form all inequalities in x and y to represent the above information.
b).On the grid provided, draw the inequalities and shade the unwanted region.
c).Use the graph to determine the least number of operators required for the maximum possible production.

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