During the next four months, a customer requires, respectively, 500, 650, 1000, and 700 units of a commodity, and no backlogging is allowed (that is, the customer's requirements must be met on time). Production costs are $50, $80, $40, and $70 per unit during these months. The storage cost from one month to the next is $20 per unit (assessed on ending inventory). It is estimated that each unit on hand at the end of month 4 can be sold for $60. Assume there is no beginning inventory. Determine how to minimize the net cost incurred in meeting the demands for the next four months. Question #1: According to your optimal solution, what is the production quantity for month 3? Question #2: According to your optimal solution, what is the total cost? (Please show all the fields input, and the solver box so I can see which cells you chose, etc.)
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- Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand will grow at 5% a year. If the company builds a plant that can produce x units of Wozac per year, it will cost 16x. Each unit of Wozac is sold for 3. Each unit of Wozac produced incurs a variable production cost of 0.20. It costs 0.40 per year to operate a unit of capacity. Determine how large a Wozac plant the company should build to maximize its expected profit over the next 10 years.A large manufacturer purchases a part from a supplier under a continuous review system. The average demand is 400 units a day with a standard deviation of 50 units a day. It costs $55 to process each order. The holding cost for a part is $0.2 per month and the company has a policy of maintaining a 96% service level. The company operates 315 days per year. The time from when an order is placed to when it arrives at the company from its vendor is 5 days. a- What is the reorder point? b- What order quantity would be appropriate c- What is the total annual cost for this item?Leaky Pipe, a local retailer of plumbing supplies, faces demand for one of its SKUs at a constant rate of 30,000 units per year. It costs Leaky Pipe $10 to process an order to replenish stock and $1 per unit per year to carry the item in stock. Stock is received 4 working days after an order is placed. No backordering is allowed. Assume 300 working days a year.a. What is Leaky Pipe’s optimal order quantity?b. What is the optimal number of orders per year?c. What is the optimal interval (in working days) between orders?d. What is the demand during the lead time?e. What is the reorder point?f. What is the inventory position immediately after an order has been placed?
- A wallpaper company estimates the demand for a certain pattern to be 925 rolls per year. It costs $750 to set up the presses to print the pattern, plus $150 to print each roll. If the company can store a roll of wallpaper for a year at a cost of $4, how many rolls should it print at a time and how many printing runs on average will it need in a year to minimize production costs? (Assume the wallpaper sells steadily throughout the year, and the company reorders more whenever the stock runs out. Round the number of rolls per print to the nearest whole number and the average number of printing runs per year to two decimal places.) rolls per print rolls print runs per year runsA shoe store orders shoes from the manufacturer and sells them at a mall. Storing shoes at the store costs $8 per shoe pair for a year. When reordering shoes from the manufacturer, there is a fixed cost of $16 per order as well as $4 per shoe pair. The retail store sells 750 shoe pairs each year. Find a function that models the total inventory costs as a function of the number of shoe pairs in each order from the manufacturer.Red Corporation uses the reorder point model to plan its purchases. It sells its sole product at the following daily amounts: Minimum=30,000; Average=40,000; Maximum=60,000. Its supplier takes 3 days on average and 4 days maximum to deliver the order. The-reorder point would be: A. 240,000B. 160,000C. 120,000D. 90,000
- A logistics company applies the EOQ model to manage its inventory of spare parts used for maintenance work for their trucks. Daily demand is normally distributed. The average daily demand is 10 units, with a standard deviation of 5 units. The EOQ is found to be 400 units and used as the order size for all orders. Order lead time is 4 days. Currently, the firm has just received an order. In how many days do they need to place the next order? 4 days 36 days 40 days None of the above. Demand is random, so the time until they reach the ROP again is also randomA manufacturing plant procures 100,000 filters per year. Each unit has a fixed order cost is $50. To maintain the inventory in optimal conditions, there is a carrying cost rate of 10% per year. The vendor of filters has offered the following price breaks: for orders of more than 5,000 filters, cost is $4.50/unit; for orders between 1,000 and 5,000 filters, cost is $4.75/unit; orders less than 1,000 filters have a cost of $5.00/unit. Find the economic order quantity. Calculate the average annual cost for the optimal solution.Andy's Auto Dealership (AAD) is a family-run auto dealership selling both new and used vehicles. In an average month, AAD sells a total of 160 vehicles. New vehicles represent 60 percent of sales, and used vehicles represent 40 percent of sales. Max has recently taken over the business from his father. His father always emphasized the importance of carefully managing the dealership's inventory. Inventory financing was a significant expense for AAD. Max's father consequently taught him to keep inventory turns as high as possible. Examining the dealership's performance over recent years, Max discovered that AAD had been turning its inventory (including both new and used vehicles) at a rate of 8 times per year. What is AAD's average inventory (including both new and used vehicles)? Drilling down into the numbers, Max has determined that the dealerships new and used businesses appear to behave differently. He has determined that turns of new vehicles are 7.2 per year, while turns of used…
- A restaurant uses 100 per week or 5,000 quart bottles of ketchup each year. The ketchup costs $3.00 per bottle and is served only in whole bottles because its taste quickly deteriorates. The restaurant figures that it costs $10.00 each time an order is placed, and holding costs are 20 percent of the purchase price. It takes 3 weeks for an order to arrive. The restaurant operates 50 weeks per year. The restaurant would like to use an inventory system that minimizes inventory cost. The restaurant has figured that the most economical order size or EOQ is approx. 409 (rounding up the decimals). Approximately, what is the time between two orders (in terms of weeks) 08 06 04 02 None of the aboveConsider a fixed period inventory model. The daily demand of the product has a mean of 30 and standard deviation of 4; orders are placed every 18 days and shipment lead time is 6 days. The store has a service policy of 96%. What is the inventory required?A logistics company applies the EOQ model to manage its inventory of spare parts used for maintenance work for their trucks. Daily demand is normally distributed. The average daily demand is 10 units, with a standard deviation of 5 units. The EOQ is found to be 400 units and used as the order size for all orders. Order lead time is 4 days. Currently, the firm has just received an order. In how many days do they need to place the next order?