A manufacturer produces umbrellas. The production rate is 500 per day. The monthly demand for umbrellas is 2100 (and so usage per day is 70). Setup cost is $60 and holding cost is $1 per umbrella per month. What is the economic production quantity? (Use the nearest whole number) OA.775 OB. 541 OC. 835 OD. 620 OE. 894 OF. 693 OG.502 OH.899
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- Suppose that your company sells a product for which the annual demand is 10,000 units. Holding costs are $1.00 per unit per year, and setup costs are $200 per order. What is the minimum total stock administration cost for the product? Select one: a. $1,000 b. $2,000 c. $10,000 d. $200A company has an annual demand of 2500 units. The cost to place an order to replenish inventory is SR18.75 per order, and annual inventory holding cost per unit is SR1.5. On average, delivery of an order takes 3 working days (Lead time). Assume the store is open 250 days per year. What is the optimal order size? What is the optimal number of orders per year? What is the optimal number of days between orders? What is the Reorder Point (ROP)? What is the Reorder Point (ROP) with 2 days safety stock.The best quantity to order One of the formulas for inventorymanagement says that the average weekly cost of ordering, payingfor, and holding merchandise iswhere q is the quantity you order when things run low (shoes,TVs, brooms, or whatever the item might be); k is the cost ofplacing an order (the same, no matter how often you order); c isthe cost of one item (a constant); m is the number of items soldeach week (a constant); and h is the weekly holding cost per item(a constant that takes into account things such as space, utilities,insurance, and security). Find dA>dq and d2A>dq2.
- Consider a product with a daily demand of 500 units, a setup cost per production run of $100, a daily holding cost per unit of $0.20, and an annual production rate of 219,000 units. The firm operates and experiences demand 365 days per year. Suppose that management mistakenly used the basic EOQ model to calculate the batch size instead of using the production order quantity model. How much money per year has that mistake cost the company?XYZ Inc. needs 400 kgs of a material per month. It costs OMR 100 to make and receive an order, and it takes 12 workdays to receive it. The annual holding cost is 15 % of purchase price. The price OMR 1 per kg. The company is operating workdays per week in a 52-week year. At what level of inventory in Kgs should the company be placing orders ? Round-up to the nearest integerFursan Inc. needs 310 kgs of a material per month (four weeks). It costs RO 10 to make and receive an order, and it takes 14 work days to receive it. The annual holding cost is 15 % of purchase price. The price RO 1 per kg. The company is operating 6 days per week. At what level of inventory in Kgs should the company be placing orders? Round-up to the nearest integer Select one: a. 200 b. 175 c. 181 d. 188
- Rocky Mountain Tire Centre sells 20,000 tires of a particular type per year. The ordering cost for each order is $40, and the holding cost is 20% of the purchase price of the tires per year. The purchase price is $20. per tire if fewer than 500 tires are ordered, $18. Per tire if more than 500 but fewer than 1,000 tires are ordered and $17. per tire if 1,000 or more tires are ordered. How many tires should Rocky Mountain order each time it places an order? Quantity Unit Price 1-499 $20. 500-999 $18. 1000 & over $17 Based on available information, lead time demand for CD-ROM drives averages 50 units (normally distributed), with a standard deviation of 5 drives. Management wants a 97% service level. What value of Z should be applied? How many drives should be carried as safety stock?Please do not give solution in image formate thanku. A product’s demand over (l + 1) periods is normally distributed with a mean of 100 and standard deviation of 10. Lead time is 2 periods. The order-up-to model is used to manage inventory. If in-stock probability stays at 99%, what will happen to expected on-hand inventory when expected demand increases to 200? A) It will increase. B) It will stay the same. C) It will decrease. D) It may either increase or decrease.Banana Inc. a Company that markets skin care products . The annual demond is 2400 units and ordering cost is 10 per order . The holding cost per year is 0.30 .Amount of the working days of the is 250 days in a year , Lead time of the order is 2 days . a. What is the optimal order size? b. What is the optimal number of orders per year? c. What is the optimal number of days between orders? d. What is the annual inventory cost? e. If the lead time were 2 days, what would be the reorder point? f. For what value of ordering cost would 1000 units of order size be optimal? g. Determine how often the firm should order. h. Determine the size of each order ı. At what price should the firm order?
- Parasol Systems sells motherboards for personal computers. For quantities upthrough 25, the firm charges $350 per board; for quantities between 26 and 50,it charges $315 for each board purchased beyond 25; and it charges $285 eachfor the additional quantities over 50. A large communications firm expects torequire these motherboards for the next 10 years at a rate of at least 140 peryear. Order setup costs are $30 and holding costs are based on an 18 percentannual interest rate. What should be the size of the standing order?Rocky Mountain Tire Center sells 20,000 go-cart tires per year. The ordering cost for each order is $40, and the holding cost is 20% of the purchase price of the tires per year.The purchase price is $20 per tire if fewer than 500 tires are ordered, $18 per tire if 500 or more-but fewer than 1,000- tires a re ordered, and $17 per tire if I ,000 or more tires areordered.a) How many tires should Rocky Mountain order each time it places an order?b) What is the total cost of this policy?If the order quantity doubles but the flow rate remains constant, what happens to thesum of ordering and holding costs?a. Decreases by 50 percentb. Decreases by less than 50 percentc. Remains unchangedd. Increases by less than 50 percente. Increases by 50 percent