9.19 In bottle production, bubbles that appear in the glass are considered defects. Any botlethat has more than two bubbles is elassified as "nonconforming" and is sent to recyclingSuppose that a particular production line produces bottles with bubbles at a rate of 1.bubbles per bottle. Bubbles occur independently of one another.a What is the probability that a randomly chosen bottle is nonconfornming?b Bottles are packed in cases of 12. An inspector chooses one bottle from each caseand examines it for defects. If it is nonconforming, she inspects the entire case, replacing nonconforming bottles with good ones. This process is called rectificationIf the chosen bottle conforms (has two or fewer bubbles), then she passes the cuse.In total, 20 cases are produced. What is the probability that at least 18 of them pass!c What is the expected number of nonconforming bottles in the 20 cases after they havebeen inspected and rectified using the scheme described in part b?

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Answered: In bottle production, bubbles that…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter10: Introduction To Simulation Modeling

Section: Chapter Questions

Problem 41P: At the beginning of each week, a machine is in one of four conditions: 1 = excellent; 2 = good; 3 =...

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At the beginning of each week, a machine is in one of four conditions: 1 = excellent; 2 = good; 3 = average; 4 = bad. The weekly revenue earned by a machine in state 1, 2, 3, or 4 is 100, 90, 50, or 10, respectively. After observing the condition of the machine at the beginning of the week, the company has the option, for a cost of 200, of instantaneously replacing the machine with an excellent machine. The quality of the machine deteriorates over time, as shown in the file P10 41.xlsx. Four maintenance policies are under consideration: Policy 1: Never replace a machine. Policy 2: Immediately replace a bad machine. Policy 3: Immediately replace a bad or average machine. Policy 4: Immediately replace a bad, average, or good machine. Simulate each of these policies for 50 weeks (using at least 250 iterations each) to determine the policy that maximizes expected weekly profit. Assume that the machine at the beginning of week 1 is excellent.
Suppose that you have a four-sided die that is equally weighted (i.e. equal chance of any of the four sides landing face up). The four values on the die are [12.5968, 2, -2 and -12.5968] . If we roll the die 81 times, record the average, and repeat this process a total of 100 times, what does the central limit theorem predict will be the distribution of the averages? a) x-bar ~ N(0, 9) b) x-bar ~ N(12.59, 1) c) x-bar ~ N(0, 81) d) x-bar ~ N(0, 1)
Output from a process contains 0.02 defective unit. Defective units that go undetected into final assemblies cost $25 each to replace. An inspection process, which would detect and remove all defectives, can be established to test these units. However, the inspector, who can test 20 units per hour, is paid $8 per hour, including fringe benefits. Should an inspection station be established to test all units? Assume that the line will operate at the same rate (i.e., the current production rate) regardless of whether or not the inspection operation is added. a-1. Without the inspector, what is the current hourly cost of defects? a-2. Should an inspection station be established to test all units based on costs alone? multiple choice Yes No a-3. If the inspection operation is added, what would be the cost to inspect each unit? Note: Round your answer to 2 decimal places. b. What would be the benefit (or loss) from establishing the inspection process? Note: Round your answer…
17- According to a business plan for a startup, the break-even point was calculated at 12,000 units of sales. However, after launch, the average variable cost for the product has gone up. Which of the following is the effect on break-even point? Group of answer choices the effect on break-even point cannot be determined without more information the break-even point will remain the same the break-even point will be higher than 12,000 units the break-even point will be lower than 12,000 units 18- According to a business plan for a startup, the break-even point was calculated at 12,000 units of sales. However, after launch, the unit price for the product had to be lowered. Which of the following is the effect on break-even point? Group of answer choices the break-even point will remain the same the break-even point will be lower than 12,000 units the effect on break-even point cannot be determined without more information the break-even point will be higher than 12,000…
a factory that produces a small number of items per day. In about 30% of working days the factory produces 7 units of the product, in 45% of working days it produces 8 units, and the rest of working days it produces 9 units. After production is completed, each unit is thoroughly inspected. Each unit fails inspection with probability ??. If two or more units fail inspection on the same day, the factory closes for a week to re-calibrate equipment. Say the factory opens today after being closed for a week, write a mathematical expression to calculate the probability that the factory will remain open at least 30 days before closing again.
Consider a process that makes high-end boards that get mounted on skateboards. Theprocess starts with a unit cost of $20 for the first unit—that is, c(1) = 20—and has alearning rate of LR = 0.95. What will be the unit cost for the 128th unit?
Suppose that you have a four-sided die that is equally weighted (i.e. equal chance of any of the four sides landing face up). The four values on the die are [12.5968, 2, -2 and -12.5968] . Say we roll the die 81 times, record the average, and repeat this process a total of 100 times. According to the Central Limit Theorem and the 68-95-99.7 rule, what is the probability of obtaining an average of -1 or less based on the facts above? Assume that n is adequately large. Select the choice that is closest to the answer. A. 97.5% B. 68% C. 16% D. 84%
An urn contains two red and two green balls. The balls are chosen at random, one by one, from the urn. If a red ball is chosen, it is removed. Any green ball that is chosen is returned to the urn. The selection process continues until all of the red balls have been removed from the urn. a) ) Find a transition probability matrix P. Find the expected number of transitions until the process ends. b) Find the mean time spent in state 2 until the process ends. c) ) Does a stationary distribution exist for this Markov chain? If so, what is it? If not, explain why it doesn’t exist. please answer parts a, b, and c.
For each scenario suggest a control that could be used to reduce the risk. Entering negative values for order quantity in a sales order Selling to a customer with an overdue account Ordering from a non-existent supplier Paying for goods that have not been received Entering an alphanumeric customer ID when the business policy is for numeric customer IDs Misappropriation of goods by receiving staff, who also maintain inventory records Ordering too much of a product 8. You are required to list and explain three advantages of computer-executed control activities compared to manually executed control activities.
BestLine Hardware In spring of last year, BestLine Hardware undertook an ambitious program to overhaul their supply chain. In early planning, BestLine predicted that they could save over 25% of their entire supply chain costs by streamlining and optimizing their practices. One of the areas that had the most promise for savings and efficiency was that of order communication and fulfillment. In the existing system, Bestline’s inventory management department triggered a request to the ordering department. The ordering department then created an order and faxed it out to one of their suppliers. The supplier marked down on the fax what could be fulfilled against the order and would fax it back to BestLine for processing. Over time, this fax-based system proved to be inefficient and error-prone. Faxes were often lost or garbled, and hand-written comments could be very difficult to interpret accurately. As a part of their supply-chain efficiency effort, BestLine decided that they would try to…
Jankord Jewelers permits the return of their diamond wedding rings, provided the return occurs within two weeks. Typically, 20 percent are returned. If nine rings are sold today, what is the probability that fewer than four will be returned? A- 0.914 B- 0.962 C- 0.923 D- 0.935
Which of the following terms is used to describe the process of monitoring operating results and comparing actual results with the expected results? a.planning b.directing c.improving d.controlling

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