2. The maintenance department of a large hospital uses about 3100 cases of liquid cleanserannually. Ordering cost is $80, carrying cost per unit is 5 percent of the prices of a case,and the new price schedule indicates that orders of less than 150 cases will cost $22 percase, 150 to 249 cases will cost $20 per case, 250 to 349 cases will cost $18 per case, andorders larger than 349 will cost $17 per case. Determine thei.optimal order quantity for each of the rangesoptimal total cost per year for each of the ranges.minimal total cost solution to the problem.ii.iii.Need properly written answers.

Ordering cost refers to the cost that gets incurred while creating and processing an order to a…

Answered: 2. The maintenance department of a…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter7: Nonlinear Optimization Models

Section7.3: Pricing Models

Problem 15P

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Consider a firm that knows that the price of the productit is ordering is going to increase permanently by $X. Howmuch of the product should be ordered before the priceincrease goes into effect?Here is one approach to this question: Suppose the firmorders Q units before the price increase goes into effect.a What extra holding cost is incurred by ordering Qunits now?b How much in purchasing costs is saved by orderingQ units now?c What value of Q maximizes purchasing cost savingsless extra holding costs?d Suppose that annual demand is 1,000 units, holdingcost per unit-year is $7.50, and the price of the item isgoing to increase by $10. How large an order should beplaced before the price increase goes into effect?
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. 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?
A mail-order house uses 18,000 boxes a year. Carrying costs are 60 cents per box a year, andordering costs are $96. The following price schedule applies. Determine the following:a. The optimal order quantityb. The number of orders per yearNumber of Boxes Price per Box1,000 to 1,999 $1.25 2,000 to 4,999 1.205,000 to 9,999 1.1510,000 or more 1.10
Pingu Company manufactures winter jackets. Setup costs are $2.00. Penguin manufactures 4,000 jackets evenly throughout the year. Using the economic order quantity approach, the optimal production run would be 200 when the cost of carrying one jacket in inventory for one year is 0.40. The given solution is this: 200 = 2*setup cost* Annual Demand / Carrying cost200 = 2*2*4000/ Carrying cost40000 = 16000 / Carrying costCarrying cost = 16000 / 40000Carrying Cost = 0.4 Hence, the cost of carrying one jacket in inventory for one year is 0.4 QUESTION: How did you get the 40,000 (that was divided to 16,000)?
XYZ Company is specialized in mangoes distribution in the city of Muscat. Sales are 500 boxes (unit) per month. It costs OR 10 to make and receive an order and holding cost is OR 2.5 per box per year. The prices depend on quantities purchased such that the order quantities from 1 to 199 at price RO 5; quantity 200 to 499 at a unit price 4.5 RO; and quantity 500 and more at a per unit price of 4 RO. What is the Economic Order Quantity (EOQ) while not consider the purchase cost? Round - up to the nearest integer?? a. 199 units O b. None is correct 500 units d. 180 units e. 220 units
Omega DB Corp. has a policy of maintaining an inventory of finished goods equal to 40 percent of the next month’s budgeted sales. If Omega DB Corp. plans to produce 6,000 units in June, what are budgeted sales for July in units? Budgeted sales for the first six months of 2019 for Omega DB Corp. are listed below: Units:JANUARY 6,000FEBRUARY 7,000MARCH 8,000APRIL 7,000MAY 5,000JUNE 4,000
An optometrist orders eyeglass frames at a cost of $40per frame and sells each frame for $70. Annual holding costis 20% of the optometrist’s cost of purchasing a frame. Eachtime frames are ordered, a cost of $200 is incurred. Becauseof lost goodwill, a cost of $50 is incurred each time acustomer wants a frame that is not in stock. Frames aredelivered one week after an order is placed. Annual demandfor frames is N(1,040, 15.73).a Assuming all shortages are backlogged, determinethe order quantity and reorder point. b Assuming all shortages result in lost sales, deter-mine the order quantity and reorder point. c To meet 95% of all orders from stock, what shouldbe the reorder point?d To have shortages occur during an average of twolead times per year, what should be the reorder point?
A component used in a manufacturing facility is ordered from an outside supplier.Because the component is used in a variety of end products, the demand is high. Estimated demand (in thousands) over the next 10 weeks isWeek 1 2 3 4 5 6 7 8 9 10Demand 22 34 32 12 8 44 54 16 76 30The components cost 65 cents each and the interest rate used to compute the holding cost is 0.5 percent per week. The fixed order cost is estimated to be $200. (Hint:Express h as the holding cost per thousand units.)d. Which method resulted in the lowest-cost policy for this problem?
A component used in a manufacturing facility is ordered from an outside supplier.Because the component is used in a variety of end products, the demand is high. Estimated demand (in thousands) over the next 10 weeks isWeek 1 2 3 4 5 6 7 8 9 10Demand 22 34 32 12 8 44 54 16 76 30The components cost 65 cents each and the interest rate used to compute the holding cost is 0.5 percent per week. The fixed order cost is estimated to be $200. (Hint:Express h as the holding cost per thousand units.)a. What ordering policy is recommended by the Silver–Meal heuristic?
A component used in a manufacturing facility is ordered from an outside supplier. Estimated demand (in thousands) over the next 10 weeks is in the table below. The components cost 55 cents each and the interest rate used to compute the holding cost is 0.5% per week. The fixed order cost is estimated to be $300. Week 1 2 3 4 5 6 7 8 9 10 Demand 22 34 32 12 8 44 54 16 76 30 Determine the lot sizes using part period balancing.
Change the ordering simulation so that emergencyorders are never made. If demand in any week isgreater than supply, the excess demand is simplylost. Simulate the same (s, S) policies as in theexample.
A local outdoor vegetable stand has exactly 1,000 square feet of space to displaythree vegetables: tomatoes, lettuce, and zucchini. The appropriate data for theseitems are given in the following table.ItemTomatoes Lettuce ZucchiniAnnual demand 850 1,280 630(in pounds)Cost per pound $0.29 $0.45 $0.25The setup cost for replenishment of the vegetables is $100 in each case, and thespace consumed by each vegetable is proportional to its costs, with tomatoes requiring 0.5 square foot per pound. The annual interest rate used for computingholding costs is 25 percent. What are the optimal quantities that should be purchased of these three vegetables?

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