3) A company produces a part that is used in its production process. The company produces thepart at a rate of 300 units per day. The daily demand for the product is 180 units. The annualdemand for the part is 54,000 units and occurs consistently over the 300 days that the companyoperates yearly. The company incurs a setup cost of $300 each time the item is produced. Thecost of carrying the item in inventory is estimated to be 25 percent of the item's $100 cost. Howmany units should the company produce each production run to minimize its inventory-associated costs?

EPQ- Economic production quantity helps us to find the quantity to be produced in each batch/run…

Answered: 3) A company produces a part that is…

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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Similar questions

A newsvendor orders 8000 units. Demand is normally distributed with a mean of9000 and a standard deviation of 2000. What is the stockout probability?
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 100 towels per day, based on occupancy. The laundry firm that has the linen contract requires a 3-day lead time. The hotel expects a 99% service level to satisfy high guest expectations. Refer to the standard normal 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? enter your response here towels (round your response to the nearest whole number).
A wallpaper company estimates the demand for a certain pattern to be 925 rolls per year. It costs $750 to set up the presses to print the pattern, plus $150 to print each roll. If the company can store a roll of wallpaper for a year at a cost of $4, how many rolls should it print at a time and how many printing runs on average will it need in a year to minimize production costs? (Assume the wallpaper sells steadily throughout the year, and the company reorders more whenever the stock runs out. Round the number of rolls per print to the nearest whole number and the average number of printing runs per year to two decimal places.) rolls per print rolls print runs per year runs
Chicago's Hard Rock Hotel distributes a mean of 1,000 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 98% service level to satisfy high guest expectations. Refer to the standard normal table for z-values. a) What is the reorder point? towels (round your response to the nearest whole number). towels (round your response to the nearest whole number). b) What is the safety stock? Z-Table Z 0.38 0.50 0.67 0.84 1.04 1.28 1.41 1.56 1.65 1.75 2.06 2.33 Pr(Z) 65 69 75 80 85 90 92 94 95 96 98 99
A toy manufacturer uses 45,980 rubber wheels per year for its popular dump truck series. The firm makes its own wheels, which it can produce at a rate of 900 per day. The toy trucks are assembled uniformly over the entire year. Carrying cost is per wheel per year. Setup cost for a production run is. The firm operates 242 days per year. Determine the following: a. Optimal run size (Round your answer to a whole number, following normal rules of rounding.) b. Use your final answer from part a to determine minimum total annual cost for carrying and setup. (Round your answer to a whole number.) c. Cycle time for the optimal run size (Round your answer to two decimal points.)
A company is known to have 4 request periods in 1 year. In the first quarter year demand amounted to 750, the 2nd quarter was 900, the third quarter was 1500, and for the fourth quarter it was 900. If the company has an initial inventory of 100, the desired final inventory is 150 units, the cost of normal hours is 100 rupiah/unit, the overtime hour fee is 125 rupiah/unit, the cost of sub-contract hours is 150 rupiah/unit, and lastly the cost of inventory is known to be 20 rupiah per unit per period. Here is the table of normal hours, overtime hours and subcontracts. Period Normal Hours Ovetime Hours Subcontracts 1 700 146 500 2 800 146 500 3 900 146 500 4 500 146 500 Please specify:a. Total cost!b. How much is produced per quarter?c. Analyze Your Answers!
The Simple Simon Bakery produces fruit pies for freezing and subsequent sale. The bakery,which operates 5 days per week, 52 weeks per year, can produce pies at the rate of 64 pies perday. The bakery sets up the pie production operation and produces until a predetermined number(Q) of pies has been produced. When not producing pies, the bakery uses its personnel and facilitiesfor producing other bakery items. The setup cost for a production run of fruit pies is $500.The cost of holding frozen pies in storage is $5 per pie per year. The annual demand for frozenfruit pies, which is constant over time, is 5,000 pies. Determine The optimal number of production runs per year
If it takes a supplier four days to deliver an order once it has been placed and the standard deviation of daily demand is 10, which of the following is the standard deviation of demand during the lead time?
Explain the following based on Demand Management Demand Management Independent Demand Dependent Demand Random Variations Safety Stocks
A warehouse manager at Mary Beth Marrs Corp. needs to simulate the demand placed on a product that does not fit standard models. The concept being measured is "demand during lead time," where both lead time and daily demand are variable. The historical record for this product, along with the cumulative distribution, appear in the table. Demand During Lead Time Cumulaive Probability Probability 120 0.01 0.01 140 0.12 0.13 160 0.35 0.48 180 0.20 0.68 200 0.04 0.72 220 0.08 0.80 240 0.20 1.00 The following random numbers have been generated: 9, 78, 40, 41, and 99. (Note: Assume the random number interval begins at 01 and ends at 00.) Based on the given probabilty distribution, for the given random number the demand during the lead time is: Random Number 9 78 40 41 99 Demand The average demand during the lead time is (enter your response as an integer). The total demand during the lead time based on the five simulations is (enter your response as an integer).
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
In an ABC system based on revenue, C items individually make the lowest annual revenue contribution. TRUE FALSE

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