Ram Roy's firm has developed the following supply, demand, cost, and inventory data. Assume that the initial inventory has no holding cost in the first period and backorders are not permitted. Allocating production capacity to meet demand at a minimum cost using the transportation method, the total cost is $ Period 1 2 3 Supply Available Regular Time Overtime Subcontract 40 15 10 30 15 10 40 15 10 20 units $100 Initial inventory Regular-time cost per unit Overtime cost per unit Subcontract cost per unit Carrying cost per unit per month $160 $200 $4 (enter your response as a whole number). Demand Forecast 40 55 55
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- The following particulars were collected for the year 2015 from Need LLCMonthly demand -2,000 unitsCost of placing an order RO 225.Annual carrying cost per unit 8%Purchase price of input unit RO 350Minimum usage 30 units per weekMaximum usage 50 units per weekRe-order period 6 to 8 weeks.For emergency purchase 4 weeks Required:(a) Re-order quantity(b) Re-order level(c) Minimum level(d) Maximum level(e) Average Stock Level(f) Danger levelIn determining open-to-buy, what is subtracted from planned purchases? O On hand On order EOM stock BOM stock Question 37 Your department is planning a 10 percent increase in sales for the entire three- month period (February-April). Sales for the period last year were $19,000. Fifty percent of the total planned sales are projected to occur in March, and 25 percent of sales are planned to occur in each of the other two months. Planned stock-sales ratio for each month is 2.0. Total planned reductions for the period are 5 percent of planned sales. Reductions are projected to occur for each month as follows: February (10 percent), March (40 percent), and April (50 percent). An ending inventory of $5,000 is planned for the period. PLANNED PURCHASES FOR FEBRUARY ARE: O $24,200 O $15.779 O None (overbought). $10.895.50A building materials stockist obtains its cement from a single supplier. Demandfor cement is reasonably constant throughout the year. Last year the company sold 2 000tonnes of cement. It estimates the costs of placing an order at around 25 MU each timean order is placed and charges inventory holding at 20% of purchase cost. The companypurchases cement at 60 MU per tonne.a) How much cement should the company order at a time?b) Instead of ordering EOQ, why not a order convenient 100 tonnes? Please mention formulas and do it in detail so I can understand.
- You are running the supply chain for a grocery store operating across Upstate Souun Carolina. You operate a central warehouse and have multiple stores. For each of the following situations determine if it would be best to operate inventory for the product that is pooled at your central warehouse or determined individually by each retail store. Provide at least 1 sentence discussing your choice. (a) The demand for boxes of Nutty Bars at each store during a week is i.i.d. with mean u = 1000 and standard deviation o = Nutty Bars are high compared to holding costs for Nutty Bars. 10. Transshipment costs between the stores for (b) The demand for Fudge Rounds at each store during a week is i.i.d. with mean u = 200 75. Transhipment costs between the stores for Fudge and standard deviation o Rounds are relatively small compared to holding costs.Explain what is the definition of a deterministic inventory model ? When is it appropriate to use ?Your company has previously used a fixed order size where ordering takes place once a quarter, but since the product's sustainability only allows warehousing for a limited time, demand varies somewhat and the product's character also means that the stock cost is rather expensive, SEK 54 per product and year. So, the company wants to investigate whether a more dynamic order size is preferable. Each order costs the company approximately SEK 1,200. The forecast for the next 4 months is given below: Month 1 2 3 4 Forecast 180 320 490 180 Decide in which periods ordering should take place (you can choose the calculation method).
- A golf specialty wholesaler operates 50 weeks per year. Management is trying to determine an inventory policy for its 1-irons, which have the following characteristics:Demand (D) = 2,000 units/yearDemand is normally distributedStandard deviation of weekly demand = 3 unitsOrdering cost = $40/orderAnnual holding cost (H) = $5/unitsDesired cycle-service level = 90 percentLead time (L) = 4 weeksa. If the company uses a periodic review system, what should P and T be? Round P to the nearest week.b. If the company uses a continuous review system, what should R be?You are in charge of inventory control of a highly successful product retailed by your firm. Weekly demand for this item varies, with an average of 200 units and a standard deviation of 16 units. It is purchased from a wholesaler at a cost of $12.50 per unit. You are using a continuous review system to control this inventory. The supply lead time is 4 weeks. Placingan order costs $50, and the inventory carrying rate per year is 20 percent of the item’s cost. Your firm operates 5 days per week, 50 weeks per year.a. What is the optimal ordering quantity for this item?b. How many units of the item should be maintained as safety stock for 99 percent protection against stockouts during an order cycle?c. If supply lead time can be reduced to 2 weeks, what is the percent reduction in the number of units maintained as safety stock for the same 99 percent stockout protection?d. If through appropriate sales promotions, the demand variability is reduced so that the standard deviation of weekly…A firm is faced with the attractive situation in which it can obtain immediate delivery of an itemit stocks for retail sale. The firm has therefore not bothered to order the item in any systematicway. Recently, however, profits have been squeezed due to increasing competitive pressures, andthe firm has retained a management consultant to study its inventory management. The consultanthas determined that the various costs associated with making an order for the item stockedare approximately $30 per order. She has also determined that the costs of carrying the item ininventory amount to approximately $20 per unit per year (primarily direct storage costs and foregoneprofit on investment in inventory). Demand for the item is reasonably constant over time and the forecast is for 19,200 units per year. When an order is placed for the item, the entire orderis immediately delivered to the firm by the supplier. The firm operates 6 days a week plus afew Sundays, or approximately 320 days per…
- A firm is faced with the attractive situation in which it can obtain immediate delivery of an itemit stocks for retail sale. The firm has therefore not bothered to order the item in any systematicway. Recently, however, profits have been squeezed due to increasing competitive pressures, andthe firm has retained a management consultant to study its inventory management. The consultanthas determined that the various costs associated with making an order for the item stockedare approximately $30 per order. She has also determined that the costs of carrying the item ininventory amount to approximately $20 per unit per year (primarily direct storage costs and foregoneprofit on investment in inventory). Demand for the item is reasonably constant over time and the forecast is for 19,200 units per year. When an order is placed for the item, the entire orderis immediately delivered to the firm by the supplier. The firm operates 6 days a week plus afew Sundays, or approximately 320 days per…A firm is faced with the attractive situation in which it can obtain immediate delivery of an itemit stocks for retail sale. The firm has therefore not bothered to order the item in any systematicway. Recently, however, profits have been squeezed due to increasing competitive pressures, andthe firm has retained a management consultant to study its inventory management. The consultanthas determined that the various costs associated with making an order for the item stockedare approximately $30 per order. She has also determined that the costs of carrying the item ininventory amount to approximately $20 per unit per year (primarily direct storage costs and foregoneprofit on investment in inventory). Demand for the item is reasonably constant over time and the forecast is for 19,200 units per year. When an order is placed for the item, the entire orderis immediately delivered to the firm by the supplier. The firm operates 6 days a week plus afew Sundays, or approximately 320 days per…A firm is faced with the attractive situation in which it can obtain immediate delivery of an itemit stocks for retail sale. The firm has therefore not bothered to order the item in any systematicway. Recently, however, profits have been squeezed due to increasing competitive pressures, andthe firm has retained a management consultant to study its inventory management. The consultanthas determined that the various costs associated with making an order for the item stockedare approximately $30 per order. She has also determined that the costs of carrying the item ininventory amount to approximately $20 per unit per year (primarily direct storage costs and foregoneprofit on investment in inventory). Demand for the item is reasonably constant over time and the forecast is for 19,200 units per year. When an order is placed for the item, the entire orderis immediately delivered to the firm by the supplier. The firm operates 6 days a week plus afew Sundays, or approximately 320 days per…