Two Leaves Bakery is famous for its curry puffs. Every morning, it makes the puffs and sells from its only store located at Bukit Timah Road. Based on past experience, the daily demand for its puffs can be represented as a random variable (varies between 50 to 300) with (discrete) distribution and can be given as follows (Table 1): Table 1 Demand 100 150 250 .I50___%__ Each puff is sold at $2 each and costs the bakery 76 cents to make. Unsold puffs are purchased by a nearly restaurant for 19 cents each at the end of the day. (a) It was found that the demand can only be 50, 100, 150, 200, 250 and 300. What is the probability when demand is 300? (5 marks) (b) How many puffs should the bakery make each day to maximise its expected prot? Analyse the problem to determine the expected prot. (12 marks) (0) Consider an organisation that you are currently working for or one that you are familiar with which keeps inventories. Describe any four (4) types of information that inventory managers of the organisation need to manage most efciently. (8 marks)