Which of the following recurrence relations might also be suitable to model demand and supply? A. o Pn+1-Pn =a (Pn- Dn), O o Dn+1-Dn =B (D, - Pn) . В. o Pn+1-Pn =a (Dn - Pn)?, • Dn+1-Dn =B (Pn - Dn)?. С. o Pn+1-Pn =a (Dn - Pn), o Dn+1-Dn =B (Pn - Dn)³.
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- National Scan, Inc., sells radio frequency inventory tags. Monthly sales for a seven-month periodwere as follows:Month Sales (000 units)Feb. 19Mar. 18Apr. 15May 20Jun. 18Jul. 22Aug. 20a. Plot the monthly data on a sheet of graph paperA manufacturing company faces an uncertain demand for its product at an average of 10,000 units per year. Selling price of the product is IDR. 1.500.000,-. The cost of holding per unit per year is estimated at ID. 350.000,-. Profit of the product is IDR. 300,000,- per unit. If the company could not meet the demand, then the profit will be lost. Ordering lead time is approximately 7 days, and the demand during lead time follows a uniform distribution of 30 to 200 units. a. Determine order quantity and reorder points to minimise the total cost b.Determine the review period and maximum inventory to minimise the total costOriental Healthcare is a multi-specialty hospital catering to a variety of illnessesconnected to the heart and respiratory systems. The demand for a class of medicalconsumable is generally random. Recently, an examination of the stores records overa period of 10 weeks revealed the following weekly consumption pattern:Week No. Consumption(Units)1 1202 1093 894 1405 1106 1457 778 1209 13010 80The supplier of the item takes on an average 2 weeks to deliver once the order isplaced. Design an appropriate inventory control policy for a periodic review systemfor a review frequency of 4 weeks for a 99% service level
- A manufacturing company faces an uncertain demand for its product at an average of 10,000 units per year. Selling price of the product is IDR. 1.500.000,-. The cost of holding per unit per year is estimated at IDR 350.000,-. Profit of the product is IDR. 300,000,- per unit. If the company could not meet the demand, then the profit will be lost. Ordering lead time is approximately 7 days, and the demand during lead time follows a uniform distribution of 30 to 200 units. a.Determine order quantity and reorder points to minimise the total cost. b. Determine the review period and maximum inventory to minimise the total cost C. Calculate the total cost for item a and b based on the your iteration on the dataa. List the major assumptions of the EOQ model.b. How would you respond to the criticism that EOQ models tend to provide misleading resultsbecause values of D, S, and H are, at best, educated guesses?Annual demand for number 2 pencils at the campus store is normallydistributed with mean 1,000 and standard deviation 250. The store purchases thepencils for 6 cents each and sells them for 20 cents each. There is a two-monthlead time from the initiation to the receipt of an order. The store accountantestimates that the cost in employee time for performing the necessary paperworkto initiate and receive an order is $20, and recommends a 22 percent annual interest rate for determining holding cost. The cost of a stock-out is the cost of lostprofit plus an additional 20 cents per pencil, which represents the cost of loss ofgoodwill.b. Find the simultaneous optimal values of Q and R.
- Annual demand for number 2 pencils at the campus store is normallydistributed with mean 1,000 and standard deviation 250. The store purchases thepencils for 6 cents each and sells them for 20 cents each. There is a two-monthlead time from the initiation to the receipt of an order. The store accountantestimates that the cost in employee time for performing the necessary paperworkto initiate and receive an order is $20, and recommends a 22 percent annual interest rate for determining holding cost. The cost of a stock-out is the cost of lostprofit plus an additional 20 cents per pencil, which represents the cost of loss ofgoodwill.d. What is the safety stock for this item at the optimal solution?XYZ 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. 0.1267A newsvendor orders the quantity that maximizes expected profit for two products, X and Y. The critical ratio for both products is .8. The demand forecast for both products is 9000 units and both are normally distributed. Product X has more uncertain demand in the sense that it has the larger standard deviation. Of which of the two products does the newsvendor order morea. Product X because it has less certain demand. b. Product Y because it has more certain demand. c. The order quantities are the same because they have the same critical ratio. d. More information is needed to determine which has the higher order quantity.
- 3. Cynthia Knott’s oyster bar buys fresh Louisiana oysters for $5 per pound and sells them for $12 per pound. Any oysters not sold that day are sold to her cousin, who has a nearby grocery store, for $1 per pound. Cynthia believes that demand follows the normal distribution, with a mean of 100 pounds and a standard deviation of 15 pounds. a) What is the cost of underestimating demand for each pound? b) What is the overage cost per pound? c) How many pounds of oyster should she order each day? d) What is the stockout risk for this order size?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. 0.3248Ning Caterers quotes a price of P940.80 per person for a banquet dinner. This priceincludes the 12% VAT and 20% service charge. The VAT is computed based on thefood’s selling price plus the service charge. The service charge is computed based onthe food’s selling price only. At what amount does Ning Caterers price the food?a. P710.77 c. P613b. P700.00 d. P840 show the solution please