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please answer this. Fresh Grocery Mart (FGM) is a grocery shop in a small county. Management of FGM estimated that the demand for the sunflower

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Fresh Grocery Mart (FGM) is a grocery shop in a small county. Management of FGM estimated that the demand for the sunflower cooking oil 2 -iter jugs can be approximated by a normal distribution with a mean of 2165 jugs per day and a standard deviation of 123 jugs per day, It costs \\( \\$ 3.15 \\) to carry a jug of sunflower cooking oil in stock for a year, and the FGM operates 360 days a year. It takes nine days for their supplier to fulfill their orders. Management of FGM knows the status of their inventory instantaneously and wants to have a service level of \93. With this information, please answer the following questions: a) What is the reorder point? (Round the finar answer to the nearest integer) b) What would be the safely stock to achieve the desired service level of \93 ? c) One day after placing an order, FGM management receives a call from the supplier that the order will be delayed by one day due to some transportation problem. After the talk, they check the inventory of sunflower cooking oil and find out that 372 jugs have been sold since the order was placed. Assuming the supryer's promise is valid, what is the probability that the FGM will run out of sunflower cookf \\( f g \\) oll before the shipment arrives? In the parts \\( d, e \\), and \\( f \\) assume that the average daily demand given above is assumed to be the known steady dally demand rate, and FGM's ordering cost is \\( \\$ 21.45 \\) per order? d) What should be FGM's economic order quantity whenever it places an order to its supplier? (Round the final answer to the nearest integen) e) What is the average annual inventory holding cost? f) Suppose that FGM management wants to increase the cycle service level by \5.32 from the existing \93. If this increased service level is used, how much additional inventory holding cost will be incurred in terms of dollar value? For the succeeding parts ' \\( g \\) ' and ' \\( \\mathrm{h} \\) ', suppose that the inventory policy is changed so that orders are placed every 7 working days. g) Assuming that a \3.05 probability of stocking out is desired, what would be the appropriate safety stock quantity? (Round the final answer to the nearest integen) h) If there are 635 units on hand of sunflower cooking oil jugs at the time an order is placed, how many units should be ordered? (Round the final answer to the nearest integen)

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