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- 49 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 $7.00 a box. The lettuce is sold for $18.00 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 255 boxes with a standard deviation of 40 boxes.Torrance Refinery produces approximately 23.1 Million barrels of gasoline per year. A California distributor sources its gasoline from the Torrance refinery. The annual demand for gasoline at the California distributor is 5.3 Million barrels. The cost of storing gasoline is approximately $29 per barrel (per year). The cost of placing an order to the Torrance refinery (including shipping) is $7300 per order. Orders will be received gradually instead of delivered all at once (hence EPQ). At what quantity will the total cost of procurement be the lowest? Round your answer to the nearest whole number. Do NOT include a comma. For example, answer like 103542 and NOT 103,542 Answer: 58845 CheckThe difference(s) between the basic EOQ model and theproduction order quantity model is(are) that:a) the production order quantity model does not requirethe assumption of known, constant demand.b) the EOQ model does not require the assumption ofnegligible lead time.c) the production order quantity model does not requirethe assumption of instantaneous delivery.d) all of the above.
- [item no. 9] In marginal analysis with discrete distributions for single-period inventory models, the value of ML/(ML+MP) is 0.8. The probability distribution of sales is given by the following by the table below. Find the optimal number of units to order. Daily demand 80 90 100 110 120 Probability that demand will be at this level 0.10 0.20 0.30 0.30 0.10 a. 90 units b. 110 units c. 100 units d. 80 unitsAmong the following multi-period inventory models, which one has the highest probability of stockout? A. Fixed Order Quantity with Safety Stock B. Fixed Time Period Model C. Fixed Order Quantity D. Both Fixed Order Quantity & Fixed Order Quantity with Safety Stock1. Suppose the demand of a product in a retail store is 800 per year and it occurs at a constant rate. Placement of an order of this product to an outside supplier by the store is 40 Dollar. The super market authority has calculated the inventory holding cost per unit per year as 90 cents. Assuming no occurrence of shortages of the product, find a) i. the minimal order quantity of the product from the outside supplier if the product is not allowed to sell during production. ii. the minimal number of orders per year. Explain whether the nearest integer number of orders per year is justified. iii. the cycle time of a lot in months. iv. the annual minimal total cost of ordering and inventory holding for that minimal order quantity. v. the reorder point if the lead time of delivering a lot is 2 days,? b) If the production rate of processing the product is 1200 per year and the set up cost per set up is 65 Dollar. If the selling of the product is allowed during production, determine i) the…
- 3. The cost of carrying one unit in inventory for a specified period of time, usually one year, is referred to as: OA) the material cost and is denoted by C. OB) the fixed ordering cost and is denoted by S. OC) the holding cost and is denoted by H. OD) the purchase price and is denoted by P.Solve the newsperson problem. Probability 0.11 0.08 0.22 0.26 0.12 0.21 Value 1 2 3 4 5 6 Purchase cost c = 27 Selling price p = 35 Salvage value v = 15 What is the optimal order quantity?Chicago’s Treadway Tires Dealer must order tires fromits national warehouse. It costs $10,000 to place an orderand $400 to review the inventory level. Annual tire sales are N(20,000, 4,000,000). It costs $10 per year to hold a tire ininventory, and each order arrives two weeks after beingplaced (52 weeks 1 year). Assume that all shortages arebacklogged.a Estimate R and the number of orders per year thatshould be placed.b Using the answer in part (a), determine the optimal(R, S) inventory policy. Assume that the shortage cost is$100 per tire.
- 6-23 Barbara Bright is the purchasing agent for West Valve Company. West Valve sells industrial valves and fluid control devices. One of the most popular valves is the Western, which has an annual demand of 4,000 units. The cost of each valve is $90, and the inventory carrying cost is estimated to be 10% of the cost of each valve. Barbara has made a study of the costs involved in placing an order for any of the valves that West Valve stocks, and she has concluded that the average ordering cost is $25 per order. Furthermore, it takes about two weeks for an order to arrive from the supplier, and during this time, the demand per week for West valves is approximately 80. d. What is the average inventory? What is the annual holding cost? e. How many orders per year would be placed? What is the annual ordering cost?6-23 Barbara Bright is the purchasing agent for West Valve Company. West Valve sells industrial valves and fluid control devices. One of the most popular valves is the Western, which has an annual demand of 4,000 units. The cost of each valve is $90, and the inventory carrying cost is estimated to be 10% of the cost of each valve. Barbara has made a study of the costs involved in placing an order for any of the valves that West Valve stocks, and she has concluded that the average ordering cost is $25 per order. Furthermore, it takes about two weeks for an order to arrive from the supplier, and during this time, the demand per week for West valves is approximately 80. a. What is the EOQ? b. What is the ROP? c. Is the ROP greater than the EOQ? If so, how is this situation handled? d. What is the average inventory? What is the annual holding cost? e. How many orders per year would be placed? What is the annual ordering cost?44. Cassorla's Clothes sells a large number of white dress shirts. The shirts, which bear the store label, are shipped from a manufacturer in New York City. Hy Cassorla, the proprietor, says, “I want to be sure that I never run out of dress shirts. I always try to keep at least a two months’ supply in stock. When my inventory drops below that level, I order another two-month supply. I’ve been using that method for 20 years, and it works." The shirts cost $6 each and sell for $15 each. The cost of processing an order and receiving new goods amounts to $80, and it takes three weeks to receive a shipment. Monthly demand is approximately normally distributed with mean 120 and standard deviation 32. Assume a 20 percent annual interest rate for computing the holding cost. a. What value of Q and R is Hy Cassorla using to control the inventory of white dress shirts? b. What fill rate (Type 2 service level) is being achieved with the current policy? c. Based on a 99 percent fill rate criterion,…