z score corresponding to top 2.5% of the area = 1.96
Hence,
Required number of boxes = 800 + 1.96*75 = 947
Weekly demand at a grocery store for a brand of breakfast cereal is normally distributed with...
9. The weights of boxes of a certain breakfast cereal are approximately normally distributed with a mear weight of 20 oz and a standard deviation of 0.07 oz. The lightest 5% of boxes do not meet minimum weight requirements and must be repackaged. What is the minimum weight requirement for a cereal box?
Alex Tuber, store manager of Edgeway Grocery Store in Washingtown, is worried about allocating enough shelf space to a new breakfast cereal, Rice Krimpies. The cereal will be restocked from the distributor once a week, at noon on each Thursday. At that time, the delivery person will arrive with ample stock to fill the shelf area that is reserved for Rice Krimpies, thereby replenishing the packages that were sold during the previous week rather than some set amount ordered in...
Same problem statement: Weekly demand for DVD-Rs at a retailer is normally distributed with a mean of 1,000 boxes and a standard deviation of 150. Currently, the store places orders to the supplier, with a reorder point of 4,200 boxes. The order quantity to the supplier is fixed at 5,000 boxes. Replenishment lead time is 4 weeks, fixed order cost per order is $100, each box costs the retailer $10, and the inventory holding cost is 25% per year. If...
The daily demand for Superco's grocery store for bananas is normally distributed with a mean of 60 and a standard deviation of 13.5. Superco's would like to keep a service level of 98%. Additionally, the lead time for new shipments of bananas is 9 days. What is the optimal reorder point for bananas at Superco? 652 612 624 426
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The Big Buy Supermarket stocks Munchies Cereal. Demand for the cereal is 8,703 boxes per year (352 business days in a year), and the demand rate is constant. It costs the store $ 163 per order of the cereals, and it costs $1.7 per box per year to keep the cereal in stock. Once an order for Munchies is placed, it takes 4 days to receive the order from a food distributor, and all the...
Suppose that a grocery store buys milk for $2.10 and sells it for $2.60. If the milk gets old then the grocery store can sell their unsold milk back to their wholesaler for $0.60 (so the grocery store loses $1.50 on each gallon that it has to sell back to the wholesaler). Suppose that the demand for milk is normally distributed with a mean of 2,384 gallons per week and a standard deviation of 431 gallons per week. The grocery...
Suppose that a grocery store buys milk for $2.10 and sells it for $2.60. If the milk gets old then the grocery store can sell their unsold milk back to their wholesaler for $0.60 (so the grocery store loses $1.50 on each gallon that it has to sell back to the wholesaler). Suppose that the demand for milk is normally distributed with a mean of 2,055 gallons per week and a standard deviation of 481 gallons per week. The grocery...
Weekly demand for DVDs at a retailer is normally distributed with a mean of 1092 boxes and a standard deviation of 314. Assume the following data: There are 51 working weeks in a year. Lead time for delivery of an order is 4 weeks. The retailer takes ownership of the product only when the product reaches the store (i.e., the retailer is not responsible for pipeline inventory). Fixed cost (ordering and transportation) per order is $111. Each box of DVDs...
The daily demand for Superco's grocery store for bananas is normally distributed with a mean of 60 and a standard deviation of 13.5. Additionally, the lead time for new shipments of bananas is 5 days. Superco's prior service levels were unsustainable, so now the company wants to reorder to maximize profit. It costs Superco $0.05 per banana to purchase and the store sells the bananas for $0.20 each. Additionally, spoiled bananas are considered worthless. Unsold bananas can last for 2...
Weights of cereal in 16 ounce boxes are normally distributed with a mean of 16 ounces and a standard deviation of 0.12 ounce. Respond to the following: a)What is the probability that a cereal box selected at random will have at least 15.95 ounces? b)What is the probability that the mean of a sample of 16 boxes will be at least 15.95 ounces? c)In a production of 10,000 boxes, how many would you expect to be below 15.95 ounces? d)The...