A company is considering two machines. Machine X has a first cost of $30,000, AOC of $18,000, and S of $7000 after 4 years. Machine Y will cost $50,000 with an AOC of $16,000 and S of $9000 after 6 years. The AW equations for Machine X and Y are: Select one: O a. AWX=-30,000(A/P,12%,12) –18,000 +7,000(A/F,12%,12); AWY= -50,000(A/P,12%,12) -16,000 + 9,000(A/F,12%,12) O b. AWX=-30,000(A/P,12%,6) –18,000 +7,000(A/F,12%,6); AWY= -50,000(A/P,12%,6) – 16,000 + 9,000(A/F,12%,6) O c. AWX=-30,000(A/P,12%,24) –18,000 +7,000(A/F,12%,24); AWY= -50,000(A/P,12%,24) -16,000 + 9,000(A/F,12%,24) O d. AWX=-30,000(A/P,12%,4) –18,000 +7,000(A/F,12%,4); AWY= -50,000(A/P,12%,6) - 16,000 + 9,000(A/F,12%,6)
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- 1. Suppose that you are an ammunition manufacturer and that your manufacturing process yields a true % of defects of 2.5%. The probability of accepting a lot of 40,000 cartridges for a sample of 3000 with 15 defects is 85%. The AOQ for this set of 40,000 cartridges is _____ %. 2. You are the process improvement manager and have just purchased a metal sheet roller to form gasket material for high-performance engines. You are excited because the company's goal is 6 sigma (no more than 3.4 defects per million) and this machine may be the innovation that you need. The gaskets cannot be more than 0.0002 in from the required thickness of 0.025 in. You want to know if you should replace the existing roller that has a Cpk = 1.0. The new sheet roller has a Cpk = ___. Round the answer to 2 decimal places.Applied Linear Algebra System of Equations Matrices Q1: See the attached image for full question and answer the question. Explanation: It's applied linear algebra question. Create equations for every piece of information given in the question(there are 4 equations) then solve it by using gaussian elimination method. Q2: Calculate the value of “a” for which the system has no solution, exactly one solution or infinitely many solutions. x+2y-3z=4 3x-y+5z=2 4x+y+2z=a+2 Q3: Select 3 different digits from these numbers (126789). Use only these numbers as coefficient and create a matrix of 5x5 (with all coefficient non zero) that has rank 3. Also, explain why the rank is equal to 3.Kathleen McFadden's restaurant in Boston has recorded the following data for eight recent customers: a) McFadden wants you to graph the eight points (x;, y1), i = I, J 2, ... 8. She has been concerned because customers have been waiting too long for their food, and this graph is intended to help her find possible causes of the problem.b) This is an example of what type of graph?
- 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.(3) The Elon Company manufactures parts for an aircraft company using three computerized numerical controlled (CNC) turning centers. The company has to decide which machines are capable of producing a specific part with design specifications of 0.0970 inch ± 0.015 inch. The machines have the following parameters: Machine 1 (x= 0.0995, o = 0.004); Machine 2 ( = 0.1002, o = 0.009); Machine 3 (x = 0.095, o = 0.005). Determine which machines (if any) can produce the products within the design specifications. ||The relationship between study hours and exam score was estimated as below in a linear format. Exam score = 6.24 * Study hours + 54.72 (The p-value for the coefficient of Study hours is 0.04.) How can the relationship between exam score and study hours be interpreted? As a person studies 1 more hour, his or her exam score is expected to decrease by 6.24 points. As a person studies 1 more hour, his or her exam score is expected to increase by 6.24 points. There is no meaningful relationship between exam score and study hours from a statistical point of view.
- 9.19 In bottle production, bubbles that appear in the glass are considered defects. Any botle that has more than two bubbles is elassified as "nonconforming" and is sent to recycling Suppose 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 case and examines it for defects. If it is nonconforming, she inspects the entire case, re placing nonconforming bottles with good ones. This process is called rectification If 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 have been inspected and rectified using the scheme described in part b?The following is the temperature control system of a heat exchanger. a)Identify the type of system. b) Calculate the steady state error when it is subjected to an input. r(t) = 2 c) Calculate the steady state error when subjected to an input. r(t) = 3t R(s) 15 C(s) 5³ - 5²² + 5sA workshop has 20 nos. of identical machines. The failure pattern of the machine is given below:- Elapsed time after Maintenance attention (in month) 1 2 Probability of failure 3 4 5 6 0.20 0.15 0.15 0.15 0.15 0.20 It costs 150 to attend a failed machine and rectify the same. Compute the yearly cost of servicing the broken down machines.
- A product is composed of four parts. In order for the product to function properly in a given situation, each of the parts must function. Two of the parts have a 0.96 probability of functioning, and two have a probability of 0.99. (Leave your answers in 4 decimal places).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…X1=210 X2=3 I need a clear step by step answer please :)