A grocery store sels boxes of cereal. The grocery store sells 48 boxes per day: assume 365 days per year. Boxes cost the store $1.00 each at wholesale costs; the holding cost per item per year is estimated to be 12% of the wholesale cost to buy the goods. Each time the grocery store orders more boxes of cereal, they must pay an additional shipping and handling charge of $150. How many boxes of cereal should the company order in order to minimize their annual ordering and holding costs?
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- The local supermarket buys lettuce each day to ensure really fresh produce. Each morning any lettuce that is left from the previous day is sold to a dealer that resells it to farmers who use it to feed their animals. This week the supermarket can buy fresh lettuce for $11.00 a box. The lettuce is sold for $25.00 a box and the dealer that sells old lettuce is willing to pay $3.00 a box. Past history says that tomorrow's demand for lettuce averages 265 boxes with a standard deviation of 42 boxes. How many boxes of lettuce should the supermarket purchase tomorrow? (Use Excel's NORMSINV() function to find the Z-score. Round intermediate calculations to four decimal places. Round your answer to the nearest whole number.) Number of boxes ( ? )The local supermarket buys lettuce each day to ensure really fresh produce. Each morning any lettuce that is left from the previous day is sold to a dealer that resells it to farmers who use it to feed their animals. This week the supermarket can buy fresh lettuce for $9.00 a box. The lettuce is sold for $17.00 a box and the dealer that sells old lettuce is willing to pay $5.00 a box. Past history says that tomorrow's demand for lettuce averages 258 boxes with a standard deviation of 41 boxes. How many boxes of lettuce should the supermarket purchase tomorrow? (Round your answer to the nearest whole number.) Number of boxes ???The local supermarket buys lettuce each day to ensure really fresh produce. Each morning any lettuce that is left from the previous day is sold to a dealer that resells it to farmers who use it to feed their animals. This week the supermarket can buy fresh lettuce for $4.00 a box. The lettuce is sold for $16.00 a box and the dealer that sells old lettuce is willing to pay $2.50 a box. Past history says that tomorrow's demand for lettuce averages 252 boxes with a standard deviation of 34 boxes. How many boxes of lettuce should the supermarket purchase tomorrow? (Round your answer to the nearest whole number.)
- The local supermarket buys lettuce each day to ensure really fresh produce. Each morning any lettuce that is left from the previous day is sold to a dealer that resells it to farmers who use it to feed their animals. This week the supermarket can buy fresh lettuce for $4.00 a box. The lettuce is sold for $10.00 a box and the dealer that sells old lettuce is willing to pay $1.50 a box. Past history says that tomorrow’s demand for lettuce averages 250 boxes with a standard deviation of 34 boxes. How many boxes of lettuce should the supermarket purchase tomorrow?The TransCanada Lumber Company and Mill processes 10,000 logs annually, operating 250 days per year. Imme-diately upon receiving an order, the logging company’s supplier begins delivery to the lumber mill at the rate of 60 logs per day. The lumber mill has determined that the or-dering cost is $1600 per order, and the cost of carrying logs in inventory before they are processed is $15 per log on anannual basis. Determine the following:a. The optimal order sizeb. The total inventory cost associated with the optimalorder quantityc. The number of operating days between ordersd. The number of operating days required to receive anorderThe materials manager for a billiard ball maker must periodically place orders for resin, one of the raw materials used in producing billiard balls. She knows that manufacturing uses resin at a rate of 50 kilograms each day, and that it costs $.04 per day to carry a kilogram of resin in inventory. She also knows that the order costs for resin are $100 per order, and that the lead time for delivery is four days. If the order size was 1,000 kilograms of resin, what would be the average inventory level?
- The local supermarket buys lettuce each day to ensure fresh produce. Each morning any lettuce that is left from the previous day is sold to a dealer that resells it to farmers who use it to feed their animals. This week the supermarket can buy fresh lettuce for $4.00 a box. The lettuce is sold for $10.00 a box and the dealer that sells old lettuce is willing to pay $1.50 a box. History says that tomorrow’s demand for lettuce averages 250 boxes with a standard deviation of 34 boxes. How many boxes of lettuce should the supermarket purchase tomorrow?An oil refinery buys crude oil on a long-term supply contract for $22.50 per barrel.When shipments of crude oil are made to the refinery, they arrive at the rate of10,000 barrels per day. The refinery uses the oil at a rate of 5,000 barrels per dayand plans to purchase 500,000 barrels of crude oil next year. If the carrying cost is25percent of acquisition cost per unit per year and the ordering cost is $7,500 perorder:a. What is the EOQ for the crude oil?b. What is the TSC at EOQ?c. How many days of production are supported by each order of crude oil?d. How much storage capacity is needed for the crude oil?The local supermarket buys lettuce each day to ensure really fresh produce. Each morning, any lettuce that is left from the previous day is sold to a dealer that resells it to farmers who use it to feed their animals. This week, the supermarket can buy fresh lettuce for $4.00 a box. The lettuce is sold for $10.00 a box and the dealer that sells old lettuce is willing to pay $1.50 a box. Past history says that tomorrow’s demand for lettuce averages 250 boxes with a standard deviation of 34 boxes. How many boxes of lettuce should the supermarket purchase tomorrow? (Answer available in Appendix D)
- The Petroco Company uses a highly toxic chemical in one of its manufacturing processes. It must have the product delivered by special cargo trucks designed for safe shipment of chemicals. As such, ordering (and delivery) costs are relatively high, at $2,600 per order. The chemical product is packaged in 1-gallon plastic containers. The cost of holding the chemical in storage is $50 per gallon per year. The annual demand for the chemical, which is constant over time, is 2,000 gallons per year. The lead time from time of order placement until receipt is 10 days. The company operates 310 working days per year. Compute the optimal order quantity, the total minimum inventory cost, and the reorder point.The local supermarket buys lettuce each day to ensure really fresh produce. Each morning, any lettuce that is left from the previous day is sold to a dealer that resells it to farmers who use it to feed their animals. This week, the supermarket can buy fresh lettuce for $9.00 a box. The lettuce is sold for $17.00 a box and the dealer that sells old lettuce is willing to pay $5.00 a box. Past history says that tomorrow's demand for lettuce averages 258 boxes with a standard deviation of 41 boxes. How many boxes of lettuce should the supermarket purchase tomorrow? (Use Excel's NORM.S.INV() function to find the z value. Round your answer to the nearest whole number.) Number of boxesThe local supermarket buys lettuce each day to ensure really fresh produce. Each morning, any lettuce that is left from the previous day is sold to a dealer that resells it to farmers who use it to feed their animals. This week, the supermarket can buy fresh lettuce for $10.00 a box. The lettuce is sold for $21.00 a box and the dealer that sells old lettuce is willing to pay $2.00 a box. Past history says that tomorrow's demand for lettuce averages 262 boxes with a standard deviation of 43 boxes. How many boxes of lettuce should the supermarket purchase tomorrow? Note: Use Excel's NORM.S.INV() function to find the z value. Round your answer to the nearest whole number. Number of boxes