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Mwanjoki Flying Company operates a flying service. It has two types of aeroplanes. The smaller one uses 180 litres of fuel per hour while the bigger one uses 300 litres per hour.The fuel available per week is 18 000 litres. The company is
allowed 80 flying hours per week. To keep the aeroplane in good condition the bigger aeroplane must be flown for x hours per week while the smaller aeroplane must be flown for y hours per week.
a).Write down all the inequalities representing the above information.
b).On the grid provided, draw all the inequalities in (a) above by shading the unwanted regions.
c).The profit on the smaller aero plane is sh 4 000 per hour while that on the bigger one is sh 6 000 per hour. Use the graph drawn in (b) above to determine the maximum profit that the company made per week.