a. What amount of safety stock is appropriate? (Round your answer to the nearest whole number.) Safety stock units b. How much of this item should be reordered? (Round your answer to the nearest whole number.) ROP units c. What risk of stockout would result from a decision not to have any safety stock?
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- The injection molding department of a company uses an average of 30 gallons of special lubricanta day. The supply of the lubricant is replenished when the amount on hand is 170 gallons. It takesfour days for an order to be delivered. Safety stock is 50 gallons, which provides a stockout risk of9 percent. What amount of safety stock would provide a stockout risk of 3 percent? Assumenormality.If EOQ = 289 units, S = $100, and H = $1 per unit per month, what approx. annual demand (D) level would the EOQ model best fit? Pick the closest answer option. EOQ = Sq root of [(2D*S)/H] D = annual demand in units S = cost of placing 1 order; H = cost of holding 1 unit of that item in inventory for 1 year 3596 units 3540.00 units 5011 units 4510 unitsThat One Book sells its books through The Witch and the Wardrobe bookstores. It costs That One Book $0.80 to print each book; it sells the book to The Witch and the Wardrobe for $2.50. The Witch and the Wardrobe then sells the books at retail for $6.00. Whatever doesn’t sell gets thrown away. Demand for the book each issue is normal with a mean of 5219 and a standard deviation of 1610. To give The Witch and the Wardrobe incentive to order more books, it proposes a revenue-sharing contract. Instead of selling the book to The Witch and the Wardrobe for $2.50, That One Book will sell its books to The Witch and the Wardrobe for only $1.00. However, for each book that The Witch and the Wardrobe sells at retail, The Witch and the Wardrobe must give $2.00 back to That One Book. With this revenue sharing agreement in place, what is the optimal order amount that will maximize The Witch and the Wardrobe expected profit? Please do fast ASAP
- Annual demand is 16000 units, cost per order is $75 and carrying cost per unit as a percentage is 10%. The company works 250 weeks a year; the lead-time on all orders placed is 6 working days. Assuming constant lead-time demand, and a unit cost of $45 what is the economic order quantity? What is the reorder point. If lead-time demand shows variability that follows a normal distribution with a mean μ =420 and a standard deviation σ =20, what will the revised reorder point if two stock-outs (shortages) are allowed? What is the company’s reorder point if the probability of a stock-out on any cycle is restricted to 0.05?XYZ Company must order tires from its warehouse. It costs $10550 to place an order and to review the inventory level. Annual tire sales are normally distributed with mean 20000 and variance 4,000,000. It costs $10 per year to hold a tire in inventory, and each order arrives two weeks after being placed. The Company uses periodic review (R, S) policy. What is the review interval R (in years), estimated using EOQ.? Select one: a. 1.027 O b.0.1083 c. 0.2297 d. 0.1624 e. 0.3248XYZ Company must order tires from its warehouse. It costs $10400 to place an order and to review the inventory level. Annual tire sales are normally distributed with mean 18000 and variance 4,000,000. It costs $8 per year to hold a tire in inventory, and each order arrives two weeks after being placed. The Company uses periodic review (R, S) policy. What is the review interval R (in years), estimated using EOQ.? Select one: a. 0.3801 b. 0.19 c. 0.2687 d. 1.075 e. 0.1267
- The Suregrip Tire Company carries a certain type of tire with the following characteristics:Average annual sales = 600 tiresOrdering cost = $40 per orderCarrying cost = 25 percent per yearItem cost = $50 per tireLead time = 4 daysStandard deviation of daily demand = 1 tirea. Calculate the EOQ.b. For a Q system of inventory control, calculate the safety stock required for service levels of 85, 90, 95, 97, and 99 percent. excelc. Construct a plot of total inventory investment versus service level.d. What service level would you establish on the basis of the graph in part c? Discuss.Even if we have substantial uncertainty in the parameters in the EOQ-model, it is still quite a useful model. Why?← Barbara Flynn is in charge of maintaining hospital supplies at General Hospital. During the past year, the mean lead time demand for bandage BX-5 was 65 (and was normally distributed). Furthermore, the standard deviation for BX-5 was 6. Ms. Flynn would like to maintain a 90% service level. Refer to the standard normal table for z-values. a) What safety stock level do you recommend for BX-5? Safety stock = 8 units (round your response to the nearest whole number). b) What is the appropriate reorder point? Reorder Point = units (round your response to the nearest whole number).
- A health and nutrition store stocks a multivitamin with an annual demand of 1,000 bottles has Co probability distribution with μ = 25 and σ = 5. (a) What is the recommended order quantity? (Round your answer to the nearest integer.) = $23.50 and C = $9. The demand exhibits some variability such that the lead-time demand follows a normal (b) What are the reorder point and safety stock if the store desires at most a 4% probability of stock-out on any given order cycle? (Round your answers to the nearest integer.) reorder point safety stock (c) If a manager sets the reorder point at 30, what is the probability of a stock-out on any given order cycle? (Round your answer to four decimal places.) How many times would you expect a stock-out during the year if this reorder point were used? (Round your answer to the nearest integer.)Oretailer of white goods buys small appliances from a supplier. Their line includes rwo types of appliances for which the related data are as follows: Appliance type 2. Annual demand (units) 5235 4850 Ordering cost (TL) 125 125 Enit purchasing cost (TL) 35 25 The retailer has allocated a budget of 22,000 TL for thas procurement Assume that the aunual inventory carrying cost rate is 20 percent Caleulnte the unconstramed order quantities Are these values optimal? If not detemine the optimal quantities to be purchased from each appliance type (Hat. 0056)Jam costs $10/jar, requires a 6mo. lead time, and will sell for $35/jar. If you stock out, you'll face a $25/jar loss of goodwill. Placing an order costs $50, and money that is tied up in capital is assumed to have a 20% interest rate for calculating holding costs. During the 6-mo replenishment time, he sells ~100 jars, but with substantial variation. Estimates are a standard deviation of demand during each 6-mo period of 25 jars. Assume demand is described by a normal distribution. How should the Jam be ordered?