Ada is running a store to sell soft-drink and snacks. For one soft-drink, given the daily demand is 32 bottles with operating 360 days per year. The ordering cost is $10 per order and annual holding cost is $1 per bottle. Lead time is 10 days. Determine the optimal order size Determine the reorder point Determine the safety stock Determine total annual inventory cost Now, daily demand and lead time may vary. Average daily demand is 32 bottles and its standard deviation is 6 bottles.Average lead time is 10 days and its standard deviation is 4 days. Determine the reorder point Determine the safety stock with 95% service level
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- I need a detailed explanation on how to solve this problem: A paint shop implements an inventory policy on its stock of white paint, which costs the store $6 per can. Monthly demand for cans of white paint is normal with mean 28 and standard deviation 8. The replenishment lead time is 14 weeks. Excess demand is backordered, but costs $10 per back ordered can in labor and loss of goodwill. There is a fixed cost of $15 per order, and the holding cost is based on 30% interest rate per annum. In your computations, assume 4 weeks per month. - Write down the model name and parameters. - What are the optimal lot size and reorder points for white paint (include the formulas)? - What is the optimal safety stock (include the formula)? *** Suppose the paint shop from the above problem adopts a service level policy. - What are the optimal lot size and reorder points for white paint, such that 90% of the cycles are filled without backordering (include all formulas)? - What is the fill rate…Helen needs 1159 kgs of chicken per day on average to make enchiladas for her store. The supplier charges a $67 delivery fee per order (which is independent of the order size) and $3.90 per kg. Helen’s annual holding cost is 20%. Assume 52 weeks per year and 7 days per week. If Helen wants to minimize inventory holding and ordering costs, how much chicken should she purchase with each order (in kgs)? Provide your answer as an integer value.Use Econimic Order Quantity formula. The answer is 8,513. Not sure how to get there.Millennium Liquors is a wholesaler of sparkling wines. Its most popular product is theFrench Bete Noire, which is shipped directly from France. Weekly demand is 45 cases.Millennium purchases each case for $120, there is a $300 fixed cost for each order(independent of the quantity ordered), and its annual holding cost is 25 percent.a. What order quantity minimizes Millennium’s annual ordering and holding costs?b. If Millennium chooses to order 300 cases each time, what is the sum of its annualordering and holding costs?c. If Millennium chooses to order 100 cases each time, what is the sum of the orderingand holding costs incurred by each case sold?d. If Millennium is restricted to ordering in multiples of 50 cases (e.g., 50, 100, 150, etc.),how many cases should it order to minimize its annual ordering and holding costs?e. Millennium is offered a 5 percent discount if it purchases at least 1000 cases. If itdecides to take advantage of this discount, what is the sum of its annual…
- 1. David and Beth Sheba run a health food store. Their top selling item is called Heavenly Kelp. The annual demand for this is 3200 units, and demand is constant throughout the year. The cost of placing an order is $100, while the holding cost per unit per year is $4. How many orders per year should be placed if they wish to minimize their total cost ? If you want to be eligible for partial credit, give an idea as to how you arrived at that number?The manager of a large electronics store wants to begin stocking a universal TV remote control device. Expected daily demand is 25 units (250 working days a year). The remote controls can be purchased from either supplier A or supplier B. Their price lists are as follows: Supplier A Supplier B Quantity Unit price Quantity Unit price 1-199 $14 1-149 $14.1 200-499 $13.8 150-349 $13.9 500+ $13.6 350+ $13.7 Ordering cost is $40 per order and annual holding cost is 25 percent of unit price. Lead time for either supplier is 10 days. Which supplier should be chosen and what kind of inventory ordering policy should be adopted?Suppose demand is know and constant at 500 units per year (one year has 250 working days). The holding cost is $2 per unit per year and the ordering cost is $20 per order. Also assume that the lead time is 10 days. Compute the optimal order quantity (EOQ) and the optimal annual inventory cost. Draw a picture of the evolution of the inventory level with time. Indicate the ROP on the picture as well as the length of the cycle. Now assume that the lead time is 90 days. Indicate the ROP on the picture.
- In many respects, the food inventory decision for eachCelebrity cruise matches the single-period inventory modeldescribed in this chapter. Consider the decision about chicken.Suppose that Celebrity purchases chicken in bulk for $0.80 perpound, and any chicken left over after a cruise is donated tolocal food banks. Management estimates that a shortage penaltyof $1.00 per pound is incurred due to lost customer goodwillfrom unsatisfied demand. If chicken demand for a 7-daycruise is normally distributed with a mean of 3,000 pounds anda standard deviation of 200 pounds, how many pounds shouldbe brought onto the ship?3) The Omnigroup stocks and sells Kipor generators. The firm gathered the following information from its Kathmandu office: Demand = D = 19,500 units per year Ordering cost = S = $25.60 per order Holding cost = H = $4.40 per unit per year The firm wants to calculate the: a) EOQ for the Kipor generators. b) Annual holding costs for the Kipor generators. c) Annual ordering costs for the Kipor generators. Hint: EOQ = square root of (2DS/H) Annual Holding Cost = (Q/2) H Annual Ordering Cost = (D/Q) SThe Farmer’s Wife is a country store specializing in knickknacks suitable for a farm-house décor. One item experiencing a considerable buying frenzy is a miniature Holstein cow. Average weekly demand is 30 cows, with a standard deviation of 5 cows. The cost to place a replenishment order is $15 and the holding cost is $0.75/cow/year. The supplier, however, is inChina. The lead time for new orders is 8 weeks, with a standard deviation of 2 weeks. The Farmer’s Wife, which is open only 50 weeks a year, wants to develop a continuous review inventory system for this item with a cycle-service level of 90 percent.a. Specify the continuous review system for the cows. Explain how it would work in practice.b. What is the total annual cost for the system you developed?
- The Soon Company is a multinational company that purchases one of its crucial components from a supplier who offers quantity discounts to encourage larger order quantities. The supply chain manager of the company wants to determine the optimal order quantity to minimize the total annual inventory cost. The company’s annual demand forecast for the item is 850 units, the order cost is $10 per order, and the annual holding rate is 41 percent. The price schedule for the item is: Order Quantity Price per Unit ($) 1–150 6.00 151–350 5.50 351 and above 5.00 The first break point is 151 units and the second is 351 units. The spreadsheet is below and perform the required analysis Optimal Order Quantity with Quantity Discounts Annual Demand Forecast 850 Order cost per order $10.00 Annual holding rate 41% Order Quantity Price per unit 1 150 $6.00 151 350 $5.50 351 1.00E+99 $5.00 Feasible? EOQ at the highest…At Dot Com, a large retailer of popular books, demand isconstant at 20,400 books per year. The cost of placing anorder to replenish stock is $35, and the annual cost of holdingis $6 per book. Stock is received 5 working days after an orderhas been placed. No backordering is allowed. Assume 250working days a year.a. What is Dot Com’s optimal order quantity?b. What is the optimal number of orders per year?c. What is the optimal interval (in working days) betweenorders?1. Electronic Village stocks and sells a particular brand of a personal computer. It costs the store $450 each time it orders with the manufacturer for the personal computers. The annual cost ofcarrying the PCs in inventory is $170. The store manager estimates the annual demand for the PCs will be 1,200 units. a. Determine the optimal order quantity and the total minimum inventory cost. B.Assume that shortages are allowed and that the shortage cost is $600 per unit per year. Compute the optimal order quantity and the total minimum inventory cost. 2. A computer products store stocks color graphics monitors, and the daily demand is normally distributed, with a mean of 1.6 monitors and a standard deviation of 0.4 monitor. The lead time to receive an order from the manufacturer is 15 days. Determine the reorder point that will achievea 98% service level.