None A toy manufacturer uses 45,980 rubber wheels per year for its popular dump truck series. The firm makesits own wheels, which it can produce at a rate of 900 per day. The toy trucks are assembled uniformlyover the entire year. Carrying cost is per wheel per year. Setup cost for a production run is. The firmoperates 242 days per year. Determine the following: a. Optimal run size (Round your answer to a wholenumber, following normal rules of rounding.) b. Use your final answer from part a to determineminimum total annual cost for carrying and setup. (Round your answer to a whole number.) c. Cycle timefor the optimal run size (Round your answer to two decimal points.)

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Answered: A toy manufacturer uses 45,980 rubber…

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 small grocery store sells fresh produce, which it obtains from a local farmer. During the strawberry season, demand for fresh strawberries can be reasonably approximated using a normal distribution with a mean of 40 quarts per day and a standard deviation of 6 quarts per day. Excess costsrun 35 cents per quart. The grocer orders 49 quarts per day.a. What is the implied cost of shortage per quart?
Products are categorized by their contribution to revenue in the ABC model of inventory control. Select one: O a. False O b. True
The Westerville Auto Parts Company produces rocker-arm assemblies for use in the steering and suspen-sion systems of four-wheel-drive trucks. A typical container of parts spends 0.02 day in processing and0.08 day in materials handling and waiting during its manufacturing cycle. The daily demand for the part is2,000 units. Management believes that demand for the rocker-arm assembly is uncertain enough to war-rant a safety stock equivalent of 10 percent of its authorized inventory.a. If each container contains 22 parts, how many containers should be authorized?b. Suppose that a proposal to revise the plant layout would cut materials handling and waiting time percontainer to 0.06 day. How many containers would be needed?
A small grocery store sells fresh produce, which it obtains from a local farmer. During the strawberry season, demand for fresh strawberries can be reasonably approximated using a normal distribution with a mean of 36 quarts per day and a standard deviation of 7 quarts per day. Excess costs run .40 cents per quart. The grocer orders 42 quarts per day.Use Table. What is the implied cost of shortage per quart?
A plastic canister manufacturing company maintains an annual safety stock of 500 units of plastic caps. If the company places an annual purchase order for 1,800 units of these caps, its average annual inventory, in units, is between: ( )1,500 and 1,300 ( )3,200 and 3,000 ( )2,400 and 2,200 ( )1,200 and 1,000 ( )1,900 and 1,700
Suppose that Litely produces a modern and well-known lamp for kitchens. The anticipateddemand in the delivery time can be calculated by means of a standard curve with 180 unitsmean and standard deviation of 40 units.Which safety stock must Litely have to achieve a 95% service level?
A restaurant uses an average of 50 jars of a special sauce each week. Weekly usage ofsauce has a standard deviation of 3 jars. The manager is willing to accept no more than a10 percent risk of stockout during lead time, which is two weeks. Assume the distributionof usage is normal.a. Which of the given formulas is appropriate for this situation? Why?b. Determine the value of z.c. Determine the ROP.
A company manufactures hair dryers. It buys some of the components, but it makes the heating elements, which it can produce at the rate of 800 per day. Hair dryers are assembled daily, 250 days a year, at a rate of 300 per day. Because of the disparity between the production and usage rates, the heating elements are periodically produced in batches of 2,000 units. Approximately how many batches of heating elements are produced annually? If production on a batch begins when there is no inventory of heating elements on hand, how much inventory will be on hand two days later? The same equipment that is used to make the heating elements could also be used to make a component for another of the firm’s products. That job would require four days, including setup. Setup time for making a batch of heating elements is a half day. Is there enough time to do this job between productions of batches of heating elements? Explain.
3) A company produces a part that is used in its production process. The company produces the part at a rate of 300 units per day. The daily demand for the product is 180 units. The annual demand for the part is 54,000 units and occurs consistently over the 300 days that the company operates yearly. The company incurs a setup cost of $300 each time the item is produced. The cost of carrying the item in inventory is estimated to be 25 percent of the item's $100 cost. How many units should the company produce each production run to minimize its inventory- associated costs?
A company begins a review of ordering policies for its continuous review system by checking the current policies for a sample of SKUS Following are the characteristics of one tem Demand (D)=85 units/week (Assume 52 weeks per year) Ordening and setup cost (S) $75/order Holding cost (H)-$16/und/year Lead time (L) 5 week(s) Standard deviation of weekly demand 22 units Cycle-service lovel-90 percent >EOQ-207 units Using the above information, develop the best policies for a periodic review system Refer to the standard normal table for z-values a. What value of P gives the same approximate number of orders per year as the EOQ? weeks (Enter your response rounded to the nearest whole number) b. To provide a 98 percent cycle-service level, the average safety stock is To provide a 98 percent cycle-service level, the target inventory level is unts (Enter your response rounded to the nearest whole number) units (Enter your response rounded to the nearest whole number)
Chicago's Hard Rock Hotel distributes a mean of 1,200 bath towels per day to guests at the pool and in their rooms. This demand is normally distributed with a standard deviation of 95 towels per day, based on occupancy. The laundry firm that has the linen contract requires a 4-day lead time. The hotel expects a 95% service level to satisfy high guest expectations. Refer to the standard normal table for z-values. Z-Table: Z Pr(Z) 0.38 65 0.50 69 0.67 75 0.84 80 1.04 85 1.28 90 1.41 92 1.56 94 1.65 95 1.75 96 2.06 98 2.33 99 a) What is the reorder point? b) What is the safety stock?
Your company currently keeps a safety stock of 554 units of a particular product that has a lead time of 10 days. Records indicate that the weekly demand was as follows: 1176 955 780 1052 736 842 748 993 852 738 794 1444 1333 1372 1106 706 923 734 786 729 1357 1165 1277 683 1106 What is the current service level? Input your result as the decimal form and round to 4 decimal places. You are requested to recommend a safety stock that will ensure an average service level of 97.5%. The lead time is not expected to change. What safety stock would you recommend? (0 decimal places)

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