QUESTION 6 A. Golden Streak bakery manufactures three types of cake: vanilla, chocolate and fruit. 9"!\" The prot contribution for each cake is: $4 per vanilla, $3 per chocolate and $4 per fruit. The cakes are mixed in two machines: M1 and M2. The time required for each cake and the total time available per week on each machine is as follows: A ' 1 Machine Vanilla (hours) Chocolate (hours) Fruit (hours vallab e hours per week M1 1 2 0 1 2 M2 1 0 l 8 Write down the objective function and all the constraints. (5 marks) Write down the initial tableau required by the Simplex Method. (8 marks) Use the Simplex Method, to solve the linear programming problem and interpret the solution values. (12 marks)