Problem 21-9 (Algo) Semans is a manufacturer that produces bracket assemblies. Demand for bracket assemblies (X) is 135 units. The following is the BoM In Indented form: ITEM X DESCRIPTION Bracket assembly USAGE A Wall board B Hanger subassembly 2 D Hanger casting E Ceramic knob с Rivet head screw F Metal tong G Plastic cap Below is a table Indicating current Inventory levels: Iten Inventory зе A 11 с 60 26 D 187 290 1,100 G 100 b. What are the net requirements of each item in the MPS? (Leave no cells blank - be certain to enter "0" wherever required.) Item Net Requirements ×ABCDEFG Ε
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- Problem 21-9 (Algo) Semans is a manufacturer that produces bracket assemblies. Demand for bracket assemblies (X) is 137 units. The following is the BoM in indented form: ITEM DESCRIPTION USAGE X Bracket assembly 1 A Wall board 5 B Hanger subassembly 2 D Hanger casting 2 E Ceramic knob 1 C Rivet head screw 4 F Metal tong 3 G Plastic cap 1 Below is a table indicating current inventory levels: Item X A B C D E F G Inventory 30 20 73 22 200 149 1,000 90 b. What are the net requirements of each item in the MPS? (Leave no cells blank - be certain to enter "0" wherever required.)Economic production quantity. This type of problem can be recognized when a production rate (p) Problem 2is given in addition to the basic EOQ information. Use Formula 13–5 to compute the optimal runquantity. Production (run) time is Q/p. Imax is (Q/p)(p – u). The time between the end of one run andthe start of the next is (Imax)/u – setup time.The Dine Corporation is both a producer and a user of brass couplings. The firm operates 220days a year and uses the couplings at a steady rate of 50 per day. Couplings can be produced at a rateof 200 per day. Annual storage cost is $2 per coupling, and machine setup cost is $70 per run.a. Determine the economic run quantity.b. Approximately how many runs per year will there be?c. Compute the maximum inventory level.d. What is the average inventory on hand?e. Determine the length of the pure consumption portion of the cycle[item no. 11] In a single period inventory model, the demand is assumed to follow a normal distribution. The value of ML/(ML+MP) is 0.6. The company used marginal analysis with the normal distribution to determine the optimal stocking level X*. If the mean demand is 100, then X* a. is less than 100 b. is equal to 100 c. cannot be determined from the information given d. is greater than 100
- The maintenance department of a large hospital uses about 816 cases of liquid cleanserannually. Ordering costs are $12, carrying costs are $4 per case a year, and the new priceschedule indicates that orders of less than 50 cases will cost $20 per case, 50 to 79 caseswill cost $18 per case, 80 to 99 cases will cost $17 per case, and larger orders will cost $16per case. Determine the optimal order quantity and the total cost.Single-period. This type of problem can be recognized when a probability distribution or empirical Problem 8distribution for demand for a “perishable” item is given along with unit shortage and excess costs, orinformation that can be used to calculate them. Use these steps to solve the problem:1. Compute the optimal service level using Formula 13–17.2. If the given distribution is uniform or normal, use that to obtain the exact stocking level.3. If the distribution is Poisson or empirical, SL will fall between two cumulative frequencies.Round up to the higher frequency to find the optimal stocking level. Note: If the distribution isempirical, first obtain the cumulative frequencies or probabilities.A firm that installs cable TV systems uses a certain piece of equipment for which it carries two spareparts as optimal. The parts cost $500 each and have no salvage value or useful life after one period.Part failures can be modeled by a Poisson distribution with a mean of two failures during…[item no. 8] In a single period inventory model, the demand is assumed to follow a normal distribution with mean=100 and variance=25. The value of ML=2 and the value of MP=4. The company used marginal analysis with the normal distribution to determine the optimal stocking level X*. What is the value of X* a. None of the above b. 111 c. 103 d. 102
- Problem 20-40 (Algo) In the past, Taylor Industries has used a fixed−time period inventory system that involved taking a complete inventory count of all items each month. However, increasing labor costs are forcing Taylor Industries to examine alternative ways to reduce the amount of labor involved in inventory stockrooms, yet without increasing other costs, such as shortage costs. Here is a random sample of 20 of Taylor's items. ITEMNUMBER ANNUALUSAGE ITEMNUMBER ANNUALUSAGE 1 $ 1,600 11 $ 13,200 2 12,200 12 700 3 2,300 13 42,400 4 50,500 14 10,100 5 11,600 15 1,300 6 900 16 10,400 7 2,100 17 4,100 8 11,200 18 61,600 9 5,200 19 3,600 10 15,200 20 3,000 a. Classify each item in inventory using an ABC plan.Demand for doughnut holes on Saturdays at Don’s Doughnut Shoppe is shown in the following table. Demand(dozens) RelativeFrequency Demand(dozens) RelativeFrequency 19 .02 25 .10 20 .06 26 .14 21 .17 27 .10 22 .02 28 .03 23 .14 29 .05 24 .17 a-1. Determine the optimal number of doughnut holes, in dozens, to stock if labor, materials, and overhead are estimated to be $4.80 per dozen, doughnut holes are sold for $6.40 per dozen, and leftover doughnut holes at the end of each day are sold the next day at half price. (Round your answer to the nearest whole number.) Optional number of doghnuts: ??? What is the resulting service level: ???The following table lists the demand for Betty’s Deluxe Chocolate Chip Muffins. Unsold muffins are given to a food bank with a salvage value of $1.00 per muffin. The cost is $2.50 per muffin. The muffins sell for $3.50 each. Using the single-period model, what is the optimal order quantity in number of muffins the supermarket should order? Quantity Probability Cumulative Probability 5 0.2 0.2 6 0.3 0.5 7 0.4 0.9 8 0.1 1.02.5 a. 7 b. 6 c. 5 d. 8 e. None of these are correct
- A warehouse has an end-of-period capacity of 3 units.During a period in which production takes place, a setupcost of $4 is incurred. A $1 holding cost is assessed against each unit of a period’s ending inventory. Also, a variableproduction cost of $1 per unit is incurred. During eachperiod, demand is equally likely to be 1 or 2 units. Alldemand must be met on time, and b .8. The goal is tominimize expected discounted costs over an infinite horizon. a Use the policy iteration method to determine an op-timal stationary policy. b Use linear programming to determine an optimalstationary policy.c Perform two iterations of value iteration.A newspaper publisher uses roughly 800 feet of baling wire each day to secure bundles of newspapers while they are being distributed to carriers. The paper is published Monday through Saturday.Lead time is six workdays. What is the appropriate reorder point quantity, given that the companydesires a service level of 95 percent, if that stockout risk for various levels of safety stock is as follows: 1,500 feet, .10; 1,800 feet, .05; 2,100 feet, .02; and 2,400 feet, .01?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?