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- Consider the following linear programming model: Max: X₁² + X₂ + 3X3 O certainty O proportionality O linearity O divisibility Subject to: X₁ + X₂ £ 3 X₁ + X₂ £ 1 X₁, X₂ ³0 This problem violates which of the following properties or assumptions?Please explain to me what every different variable means in this question7. Consider an n x n matrix A that is not a null matrix. Suppose that A is idempotent, and define matrix B by B = I −k²A, where ke R is a parameter. Which of the options below is the set of ALL values k such that B is idempotent? a) R b) {0} {0, 1} d) {-1,0} e) {-1,0, 1} f) {-3,0,3} g) The set of all positive whole numbers. h) None of the above.
- Come up with two variables that, in your view, are related, indicate the name of these variables as well as why these variables are related; determine which variable is the dependent variable and which one is the independent variable. Draw a line graph by hand, labeling the vertical and horizontal axis consistent with your choice of variables. The line in the line graph has to represent, what, in your view, is the relationship between the two variables. Describe your graph verbally in your post (no need to upload the graph itself). 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.Hello. May I ask how did you get the values? Were those only assumed values? Can you also explain how did you make the normal form thoroughly?A kids' organization sold 570 bars last year at $ 2.55 per candy bar. Research has suggested that for each $ 0.25 price increase, they will sell 20 less candy bars. They want to know what price should they sell their candy bars at to maximize their revenue. Please help them out, showing your work neatly in the following steps. And please label the steps clearly with the letters A through F A) Define your variables. This means that for every letter you use to represent a value, you communicate what it equals in words. B) Find the linear equation that relates the price and the number sold. C) Determine a function that represents the Revenue. (Remember, Revenue = (Price)*(Number Sold)). D) Graph your revenue function on your calculator or Desmos or something similar and on your paper, labeling the axes and the maximum point. E) Uusing your calculator or Desmos or something similar, use your graph to determine the price that maximizes the revenue for the organization. Do NOT use calculus…
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- Analysis of daily output of a factory shows that, on average, the number of units per hour y produced after t hours of production is y = 44t + 0.5t2 − t3, 0 ≤ t ≤ 6. (a) Find the critical values of this function. (Assume −∞ < t < ∞. Enter your answers as a comma-separated list.) t = (b) Which critical values make sense in this particular problem? (Enter your answers as a comma-separated list.) t = (c) For which values of t, for 0 ≤ t ≤ 6, is y increasing? (Enter your answer using interval notation.)Refresh your Math & Graphing Skills SOP-A D For each of the following scenarios, indicate whether the relationship between the two variables is positive or negative, as well as which line on the previous graph has a slope that reflects this type of relationship. X-axis Hint: The X-axis and Y-axis on the graph are not labeled intentionally. You need to substitute the variables from each scenario for the horizontal and vertical axis. For example, in the first scenario, X-axis should be labeled The average grade received" and Y-axis should be labeled "The number of hours spent studying". Scenario As the number of hours spent studying rises, the average grade received rises. As the number of hours spent studying falis, the likelihood of getting an A falls. As the number of hours spent watching TV rises, the average grade received falls. True True or False: Line B has a slope of infinity. O False www Relationship Line YPopulation of Fish in a Lake A lake is stocked with 100 fish. Let f(1) be the number of fish after i months, and suppose that y = f(1) satisfies the differential equation y' = .0004y(1000 – y). Figure 7 shows the graph of the solu- tion to this differential equation. The graph is asymptotic to the line y = 1000, the maximum number of fish that the lake can support. How fast is the fish population growing when it reaches one-half of its maximum population? 1000 800 600 400 200 10 15 Figure 7 Growth of a fish population.