NO GPT, HAND WRITTEN PLEASE Rocky Mountain Tire Center sells 8,000 go-cart tires per year. The ordering cost foreach order is $40, and the holding cost is 30% of the purchase price of the tires peryear. The purchase price is $23 per tire if fewer than 200 tires are ordered, $17 per tire if200 or more-but fewer than 8,000-tires are ordered, and $14 per tire if 8,000 or moretires are ordered.a) How many tires should Rocky Mountain order each time it places an order?Rocky Mountain's optimal order quantity is 8000 units (enter your response as awhole number).b) What is the total cost of this policy?Total annual cost of ordering optimal order size = $nearest whole number).(round your response to the

Optimal ordering quantity can be identified by calculating the total cost using each ordering…

Answered: Rocky Mountain Tire Center sells 8,000…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter10: Introduction To Simulation Modeling

Section10.4: Simulation With Built-in Excel Tools

Problem 15P

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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?
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?
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?
ABC firm uses roughly 3,400 pounds of chemical dye a year. Currently, the firm purchases 300 pounds per order and pays P120.00 per pound. The supplier has just announced that orders of 1,000 pounds or more will be filled at a price of P80.00 per pound. The manufacturing firm incurs a cost of P4,000.00 each time it submits an order and assigns an annual holding cost of 17% of the purchase price per pound. a. Determine the order size that will minimize the total cost.b. If the supplier offered the discount at 1,500 pounds instead of 1,000 pounds, what order size would minimize total cost?
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)?
A Mercedes dealer must pay $20,000 for each carpurchased. The annual holding cost is estimated to be 25%of the dollar value of inventory. The dealer sells an averageof 500 cars per year. He believes that demand is backloggedbut estimates that if he is short one car for one year he willlose $20,000 worth of future profits. Each time the dealerplaces an order for cars, ordering cost amounts to $10,000.Determine the Mercedes dealer’s optimal ordering policy.What is the maximum shortage that will occur?
1. David and Beth Sheba run a health food store. Their top selling item is called Heavenly Kelp. The annual demand for this is 3200 units, and demand is constant throughout the year. The cost of placing an order is $100, while the holding cost per unit per year is $4. How many orders per year should be placed if they wish to minimize their total cost ? If you want to be eligible for partial credit, give an idea as to how you arrived at that number?
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.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.)b. What ordering policy is recommended by the part period balancing heuristic?
A store sells 100,000 tablet PCs every year. Each tablet PC costs $(159) and the store has an annual holding cost of (39)%. a. For what fixed cost per order would an order size of 50,000 units be optimal? b. For what fixed cost per order would an order size of 1,000 units be optimal? c. What are the annual total inventory costs for these policies
Millennium Liquors is a wholesaler of sparkling wines. Its most popular product is theFrench Bete Noire, which is shipped directly from France. Weekly demand is 45 cases.Millennium purchases each case for $120, there is a $300 fixed cost for each order(independent of the quantity ordered), and its annual holding cost is 25 percent.a. What order quantity minimizes Millennium’s annual ordering and holding costs?b. If Millennium chooses to order 300 cases each time, what is the sum of its annualordering and holding costs?c. If Millennium chooses to order 100 cases each time, what is the sum of the orderingand holding costs incurred by each case sold?d. If Millennium is restricted to ordering in multiples of 50 cases (e.g., 50, 100, 150, etc.),how many cases should it order to minimize its annual ordering and holding costs?e. Millennium is offered a 5 percent discount if it purchases at least 1000 cases. If itdecides to take advantage of this discount, what is the sum of its annual…

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