What Have I Learned So Far? 1. Draw the free-body diagram for the 30-N bag suspended on strings as shown in the given figure. Then solve for the tension along strings A, B, and C. 50° 60° C A 30 N 2. A 75-N cart is being pulled by a rope along a frictionless inclined surface as shown in the given figure. What are the tension along the rope and the normal force on the surface of the inclined surface? 75 N 30
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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.6. List and explain in detail why we include disturbance term or error term in the model?Your cafeteria is serving chicken noodle soup today, which it sources from adistributor and then warms up locally in the kitchen. The soup now sits in a large bowl anda server uses a large ladle to fill the soup into the smaller bowls handed out to the students.Consider the following variables:• Outside temperature.• Duration that the soup was heated before being put in the bowl.• Temperature of the soup in a student’s bowl.• Temperature level to which the soup is warmed up.• Insulation of the bowl used for storing the soup.• Duration that the soup bowl is open when the server inserts the ladle to serve a student.Which of these variables are (a) input variables, (b) output variables, and (c) environmentalvariables?
- 2.Explain what is meant by the bathtub curveProblem 1: Auto pistons at Wemming Chung’s plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: Day Mean (mm) Range (mm) 1 156.9 4.2 2 153.2 4.6 3 153.6 4.1 4 155.5 5.0 5 156.6 4.5 a) What are the UCL x (line on top of x, counldn't find the button to do it) and LCL x (line on top of x) , using 3σ? Plot the data. b) What are the UCL R and LCL R , using 3σ? Plot the data. c) Is the Process in Control? (Please screen shot the EXCEl if its in excel) Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.Discuss what we mean by multipole moments.
- Chart and Regression analysis : What does the intercept predict? X: C16 (number of cars on the sales lot) versus Y: C17 (cars sold per day) Equation: y=2.9x + 14.5 Slope:2.9 Intercept:14.5 Does the intercept mean the intercept is 14.5 means that the cars sold per day( Y) predicted number of cars on sale lot(X) to be 14.5, but this intercept has no meaning. So, I will not use to predict cars sold per day?Please solve very soon completely The pulp and paper factory is one of the longest industrial sectors in the world. Thus, international paper company wants to increase their output. Based on its product, the thickness of 500 sheet of papers is 2.027558055 inch. Without decreasing its quality according to scientific experiments they had done, they decided to use rounding off formula from 9 decimal places to 6 decimal places based on thickness of the paper. Discuss the above study in view of absolute and relative errors. If you are quality control manager of the factory, what is your BEST action towards production line with above decision. Justify your answer.i need help with calculating rate of diffusion for 3 crystals and 6 crystals Diffusion Diffusion Diffusion Spot Spot Time Spot Diameter 1 Diameter 3 Diameter 6 (min) Crystal Crystals Crystals (mm) (mm) (mm) 10 15 0-15 0-15 20 16 0-16 0-16 30 18 0-18 0-18 Time Rate of Diffusion for Rate of Diffusion for 3 Crystals Rate of Diffusion for 6 Crystals (min) 1 Crystal (mm/hr) 0-10 90 0-20 48 0-30 36 (mm/hr) (mm/hr) Rate [mm/h] = (diameter [mm] / time [min]) x 60 [min] X
- 4. A consultant has been working on measuring performances of the private hospitals locating in Sinop. Because of the privacy concerns, the names of the hospitals are not shared. The hospitals (H1, H2, and H3) will be evaluated systematically by means of DEA based on AHP method. In the proposed analysis, initially traditional AHP analysis is decided to be applied in order to calculate the weights of the hospitals. Then, the weights derived from AHP method will be directly used in the DEA analysis. Below, pairwise comparison matrices collected from decision maker, are demonstrated. Based on these, calculate the global weights of the hospitals and provide the ranking of the alternatives. (Note: The consistencies of the pairwise comparison matrices have already controlled.) Pairwise Comparison Matrix of Criteria ci Pairwise Comparison Matrix of hospitals with regard to (wrt) Criterion 2 H2 Criteria Criterion 1 (C1) Criterion 2 (C2) Criterion 3 (C3) C2 C3 Alternatives H1 H3 1 3 3 H1 1 1 Н2…Question 2: Consider again that the company making tires for bikes is concerned about the exact width of its cyclocross tires. The company has a lower specification limit of 22.8 mm and an upper specification limit of 23.2 mm. The standard deviation is 0.15 mm and the mean is 23 mm. What is the probability that a tire will either be too wide or too narrow?What is Accuracy, and Loss function?