Question 2: 20 marks: The Atlanta Confectionary produces two kinds of ice cream Vanila and Chocolate. The ice cream is produced from 105 tons of condensed sweetened milk for this season. A batch of Vanila requires 3 tons of condensed sweetened milk, and a batch of Chocolate requires 5 tons. However, the total available production time is 180 hours. The processing time for a batch of Vanila is 6 hours, and the processing time for a batch of Chocolate is 5 hours. The amount of Vanila essence used to produce a batch of Vanila ice cream is 0.5 tons and availability of essence is 10 tons; while availability of Coco powder for chocolate ice cream is 15 tons and consumes 0.8 tons for a batch. The profit for a batch of Vanila is 6000 SAR, and the profit for a batch of Chocolate is 9000 SAR. The company wants to determine the number of batches of Vanila and Chocolate to produce in order to maximize profit. (Note: Solve using 2 decimal places) a. Formulate a linear programming model for this problem. (4 marks) b. Solve this model by using graphical analysis. (4 marks) c. Identify the feasible region. (1 mark) d. Find the extreme points and optimal solution (5 marks) e. What is the standard form of the linear programming model? (2 marks) f. How much of slack resource will be left unused at the optimal solution? (2 marks) 8. What are the binding, non-binding and redundant constraints? (1 mark) h. What would be the effect on the optimal solution, if the profit for a batch of Vanila is $6500? (1 mark)