Mazni Company manufactures mountain and sport bikes. The company makes a profit of

RM40 on each mountain bike and RM60 on each sport bikes. Each mountain bike requires two

hours of production and one hour of assembly, while each sport bike requires two hours of

production time and three hours of assembly. The company allocates up to 300 hours of

production time and 240 hours of assembly time each week. Determine the production level in

order to maximise the total profit.

(d) Based on your answer in (c), determine the level of production for each type of bike

that achieves companys objective given the resources. (2 marks)

(e) Based on your answer in (c), determine the optimal solution. (2 marks)

Those are answers for question A,B and C..help me to solve D and E.

Question 1 Mazni Company manufactures mountain and sport bikes. The company makes a profit of RM40 on each mountain bike and RM60 on each sport bikes. Each mountain bike requires two hours of production and one hour of assembly, while each sport bike requires two hours of production time and three hours of assembly. The company allocates up to 300 hours of production time and 240 hours of assembly time each week. Determine the production level in order to maximise the total profit. (a) Formulate linear programming model for the above scenario. Let x = the number of units of mountain bike should be produced per week Y = the number of units of sports bike should be produced per week The objective function is To maximize total weekly contribution, C = 40x + 60y Subject to constraints: Total weekly production time: 2x + 2y