Emery Pharmaceutical uses an unstable chemical compound that must be kept in an environmentwhere both temperature and humidity can be controlled. Emery uses 200 pounds per month of thechemical, estimates the holding cost to be £3.33 (because of spoilage), and estimates order costs tobe £10 per order. The cost schedules of four suppliers are as follows:Vendor 1Vendor 2QuantityPrice/LB (£)QuantityPrice/LB (E)1-4935.001-7434.7550-7434.7575-14934.0075-14933.55150-29932.80150-29932.35300-49931.60300-49931.15500+30.50500+30.75Vendor 3Vendor 4QuantityPrice/LB (£)QuantityPrice/LB (£)34.501-19934.251-9933.75200-39933.00100-199400+31.00200-39932.50400+31.10a) What quantity should be ordered, and which supplier should be used?b) Discuss factor(s) should be considered besides total cost.

Answered: Emery Pharmaceutical uses an unstable…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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A large producer of household products purchases a glyceride used in one of its deodorant soaps from outside of the company. It uses the glyceride at a fairly steady rate of 40 pounds per month, and the company uses a 23 percent annual interest rate to compute holding costs. The chemical can be purchased from two suppliers, A and B. A offers the following all-units discount schedule: (given) whereas B offers the following incremental discount schedule: $1.25 per pound for all orders less than or equal to 700 pounds, and $1.05 per pound for all incremental amounts over 700 pounds. Assume that the cost of order processing for each case is $150. Which supplier should be used?
Emery Pharmaceutical uses an unstable chemicalcompound that must be kept in an environment where both temperatureand humidity can be controlled. Emery uses 800 poundsper month of the chemical, estimates the holding cost to be 50%of the purchase price (because of spoilage), and estimates ordercosts to be $50 per order. The cost schedules of two suppliers areas follows: a) What is the economic order quantity for each supplier?b) What quantity should be ordered, and which supplier should be used?c) What is the total cost for the most economic order size?d) What factor(s) should be considered besides total cost?
BERNARDS COMPANY LTD is a PRODUCER of fruit juices. The company has an annual demand of 150,000 barrels. The barrels cost $30 each. Fresh supplies can be obtained immediately, but ordering cost and the cost of carriage inwards are $400 per order. The annual cost of holding one barrel in inventory is estimated to be $3.50. The economic order quantity has been calculated to be 10,500 barrels. The suppliers introduce a quantity discount of 5% on orders of at least 12,000 barrels and 5.5% on orders of at least 15,000 barrels. You are required to: Determine whether the least cost order quantity is still the EOQ of 10,500 barrels.
Demand for an item is at the rate of 200 units per day. Stock will be replenished immediately upon order. Each order made will be charged a preparation cost of RM100.00, while a unit of goods that is kept in stock for a day will be charged a cost of RM0.50. Shortages are allowed to occur at a cost of RM3.00 for each unit of goods that are reduced for a day. Determine(i) the optimum order quantity(ii) the maximum allowable deficit size.
Consider a supply chain with a manufacturer (M) and a retailer (R). The manufacturer produces a product A at a cost of c = $50. The manufacturer offers the product to the retailer at a wholesale price of w = $70, and fixes the sale price to p = $90. The market demand is normally distributed with mean of 10,000 units and standard deviation of 1000. Answer the following questions: a. What is the optimal order quantity for the retailer? b. What is the optimal order quantity if the wholesale price is changed to $60? Does the optimal order quantity increase or decrease compared to 1a? Why? c. What is the optimal order quantity if the wholesale price is changed to $80? Does the optimal order quantity increase and decrease compared to 1a? Why? d. If the actual market demand is equal to the mean demand, then what are the profits of the manufacturer and the retailer?
The catering manager of La Vista Hotel, LisaFerguson, is disturbed by the amount of silverware she is losing every week. Last Friday night, when her crew tried to set up for a banquet for 500 people, they did not have enoughknives. She decides she needs to order some more silverware,but wants to take advantage of any quantity discounts hervendor will offer.For a small order (2,000 or fewer pieces), her vendorquotes a price of $1.80Ypiece.If she orders 2,001–5,000 pieces, the price drops to$1.60Ypiece. 5,001–10,000 pieces brings the price to$1.40Ypiece, and 10,001 and above reduces the price to $1.25.Lisa’s order costs are $200 per order, her annual holdingcosts are 5%, and the annual demand is 45,000 pieces. For thebest option:a) What is the optimal order quantity?b) What is the annual holding cost?c) What is the annual ordering (setup) cost?d) What are the annual costs of the silverware itself with anoptimal order quantity?e) What is the total annual cost, including ordering,…
A hockey equipment business, estimates that it will sell 3 400 pairs of shin pads per year from a distributor in Spain. Each pair costs R 195.00 to purchase and R18.00 in freight charges. The company borrows funds at an interest rate of 9% per annum to finance inventories. The purchasing agent has calculated that it costs R 472.00 to place an order for each pair of shin pads and that the holding cost is R 6.00 for each pair. 1. Determine the order-size decision the company should make if the Spain distributor offers a 12.00% discount off the purchase cost excluding the delivery price for minimum orders of 1 428 pairs of shin pads. (For all the costs that make up the total costs round off to two decimal points, as well as the final answer) 2. Assuming sales are uniform throughout the year (365 days) and the lead time is 10 days; determine the reorder point at the EOQ level. (Round off your answer to the nearest whole unit) 3. What is the financial consequence if only 6 orders are…
A mail-order house uses 16,870 boxes a year. Carrying costs are 60 cents per box a year, and ordering costs are $96. The following price schedule applies. Number of BoxesPrice per Box1,000 to 1,999$1.25 2,000 to 4,9991.20 5,000 to 9,9991.15 10,000 or more1.10 a.Determine the optimal order quantity. (Round your answer to the nearest whole number.) Optimal order quantity5000 boxes b.Determine the number of orders per year. (Round your answer to 2 decimal places.) Number of order per year
Three suppliers A, B and C, each produce road grit which has to be delivered to council depots W, X, Y and Z. The stock held at each supplier and the demand from each depot is known. The cost, in pounds, of transporting one lorry load of grit from each supplier to each depot is also known. This information is given in the table. Suppliers Depot W Depot X Depot Y Depot Z Stock (Lorry Loads) Supplier A 180 110 130 290 14 Supplier B 190 250 150 280 16 Supplier C 240 270 190 120 20 Demand (Lorry Loads) 11 15 14 10 50 Use VAT method to supply out all the stocks
Native Customs sells two popular styles of hand-sewn footwear: a sandal and a moccasin. The cost to make a pair of sandals is $18, and the cost to make a pair of moccasins is $24. The demand for these two items is sensitive to the price, and historical data indicate that the monthly demands are given by S = 360 − 9P1 and M = 400 − 20P2, where S = demand for sandals (in pairs), M = demand for moccasins (in pairs), P1 = price for a pair of sandals, and P2 = price for a pair of moccasins. To remain competitive, Native Customs must limit the price (per pair) to no more than $60 and $75 for its sandals and moccasins, respectively. Formulate this nonlinear programming problem to find the optimal production quantities and prices for sandals and moccasins that maximize total monthly profit.
A specialty coffeehouse sells Colombian coffee at a fairly steady rate of 280 poundsannually. The beans are purchased from a local supplier for $2.40 per pound. The coffeehouse estimates that it costs $45 in paperwork and labor to place an order for thecoffee, and holding costs are based on a 20 percent annual interest rate.a. Determine the optimal order quantity for Colombian coffee.
HAL Ltd. produces a line of high-capacity disk drivers for mainframe computers. It canproduce the disk drive housings at the rate of 150 housings per month. The housing cost85$ each to produce and the setup cost for beginning of a production run is 700$. Assumethe annual interest rate of 28% for determining the holding cost and the demand is 720units per year.a) What is the optimal number of housing for HAL Ltd. to produce in each productionrun?b) Find the time between initiation of production runs, the time devoted to productionand the downtime each production cycle.c) Calculate the maximum level of inventory in the warehouse in this case.

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