b) A company manufactures mountain and racing bikes. Each mountain bike is sold at Sh. 6.375 and a racing bike is sold at Sh. 9,000. A racing bike requires 6 kilogrammes of aluminium while a mountain bike requires 4 kilogrammes of aluminium. Aluminium cost Sh. 750 per kilogramme. It costs the company Sh. 375 per hour to assemble each bike (irrespective of model). It takes 1 hour to assemble a racing bike and 2 hours to assemble a mountain bike. There are 4,800 kilogrammes of aluminium available and a total of 1,600 hours available for assembly. Required: (i) Formulate the linear programming problem. (ii) Graphically solve the problem formulated in (i) above