Please explain with steps, I will give you a like. Thank you so much aA vaccine marketed by a drug company has a known and constant demand of 1,200 units per year (or 100 per month). The production cost is $720 per unit, the fixed setup cost is $2,400 per batch, and the holding cost per unit per year is $144. The production of a batch takes half a month and is completed at once. What is the optimal quantity per batch to produce? A350 B200 C240 D825 E186 bOn a given Hong Kong-Singapore flight, there are 300 seats. Suppose the ticket price is $450 and the number of passengers who reserve a seat but do not show up for departure is normally distributed with mean 40 and standard deviation 14. The net cost of an involuntary boarding denial (if the number of passengers exceeds the number of seats) is $900 (everything considered including the original ticket price). If you sell 350 tickets, what is the probability that you won't need to deal with bumped passengers? A57% B67% C16% D76% E24% cAt the HKUST supermarket, there is a stable demand of instant noodles, 120 boxes per month. The supermarket purchases the product from its supplier at the cost of $10 per box. The supermarket incurs a fixed cost of $100 per each order and the inventory holding cost is 1% of the purchasing cost. Which of the following is NOT' true? AIf the monthly demand and the inventory holding cost increase by a factor of 2, EOQ remains the same BIf the fixed cost increases by a factor of 4, EOQ will increase by a factor of 2 CIf the annual demand and the inventory holding cost increases by a factor of 2, the total annual cost remains the same DIf the fixed cost increases by a factor of 4, the total annual cost will increase by a factor of 2 dConsider an EPQ model. Which of the following is "NOT true? AIf the annual demand increases by a factor of 4, the average inventory will increase by a factor of 2 BIf the fixed cost increases by a factor of 4, EPQ will increase by a factor of 2 CIf the fixed cost increases by a factor of 4, the total annual cost will increase by a factor of 2 DIf both the weekly demand rate and the weekly production rate increase by a factor of 4, EPQ will increase by a factor of 2