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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- Consider Bruno who manages an underwriting team in an insurance firm. Recently, the management of Bruno’s firm informed him of their decision to create a new risk assessment team, consisting of data scientists with machine learning expertise, and reduce the size of Bruno’s underwriting team. Bruno’s underwriting team will now work with the new risk assessment team in order to determine whether to provide insurance to applicants Use the model of a firm’s technology choice and graphically illustrate the management’s restructuring decision in a diagram with isocost curves. Your diagram should have the amount of human intelligence on the horizontal axis and the amount of artificial intelligence on the vertical axis. Fully label your diagram. Note that there are no actual numbers given in this question: you may make them up or simply use appropriate notations. Briefly explain the key information of your diagram.What is the difference between interior-point algorithms and the simplex method?Residents of Mill River have fond memories of ice skating at a local park. An artist has captured the experience in a drawing and is hoping to reproduce it and sell framed copies to current and former residents. He thinks that if the market is good he can sell 400 copies of the elegant version at $125 each. If the market is not good, he will sell only 300 at $90 each. He can make a deluxe version of the same drawing instead. He feels that if the market is good he can sell 500 copies of the deluxe version at $100 each. If the market is not good, he will sell only 400 copies at $70 each. In either case, production costs will be approximately $35,000. He can also choose to do nothing, if he believes there is a 50% probability of a good market, what should he do and why?
- The following scenario list comprises two different teachers and the marking system each employs. List the advantages and disadvantages of each. Also, identify the approximate weights that you believe should be placed on each part of each system. Mr. Williams is a sixth-grade teacher who is known as a strict grader. 100% of a student’s grades is based upon his or her weekly classroom tests, with only one exception: the student who improves the most in each subject during the grading period automatically receives an “A” for that subject. Ms. Wallace believes that every grade should reflect precisely what a student does or does not know. Therefore, her testing strategy is to administer criterion-referenced tests exclusively, in which the grade given reflects the number and type of concepts mastered. She then uses these grades to provide either remedial or advanced work to those who need it.Describe the bounds, limitations, requirements, proportional relationships, and balance constraints: Korey is a business student at State U. She has just completed a course in decision models, which had a midterm exam, a final exam, individual assignments, and class participation. She earned an 86% on the midterm, 94% on the final, 93% on the individual assignments, and 85% on participation. The benevolent instructor is allowing his students to determine their own weights for each of the four grade components—of course, with some restrictions: The participation weight can be no more than 15%. The midterm weight must be at least twice as much as the individual assignment weight. The final exam weight must be at least three times as much as the individual assignment weight. The weights of the four components must be at least 10%. The weights must sum to 1.0 and be nonnegative.The Dubuque Cement Company packs 80-pound bags of concrete mix. Time-study data for the filling activity are shown in the following table. Because of the high physical demands of the job, the company's policy is a 20% allowance for workers. (Round all intermediate calculations to two decimal places before proceeding with further calculations.) Element Performance Rating 1 2 3 4 5Grasp and place bag 105 9 10 7 12 8Fill bag 85 36 41 38 36 112Seal bag 100 16 17 12 21 18Place bag on conveyor 90 9 7 10 29 36 a) The standard time for this process = 82.94 seconds (round your response to two decimal places). b) The number of observations that are required for a 90% confidence level within 5% accuracy = ? ? ? observations (round your response up to the next whole number).