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1. Verify that $(0, 3, \frac{15}{7}, 0, \frac{9}{7})$ is an optimal solution to the problem Maximize $3x_1 + 2x_2 + 5x_3 - 2x_4 + x_5$ subject to $4x_1 + x_2 - x_3 + 2x_4 + 4x_5 \le 6$ $3x_1 + 3x_2 + 2x_3 - x_4 - x_5 \le 12$ $x_1 - 2x_2 + 5x_3 - x_4 + x_5 \le 6$ and $x_j \ge 0, j = 1, 2, 3, 4, 5$ and that $(\frac{1}{3}, 1, \frac{2}{3})$ is an optimal solution to the dual.

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What happens to producet surplus when the price of a good increases

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Parenting styles vary from family to family and culture to culture. Explain the effect of parenting on the formation of personality by stating the findings of at least two research studies, text readings and your personal analysis of your findings. Locate any two peer reviewed journal articles that connect to parenting and personality development to assist with your analysis. Discuss your findings from each study and then compare the points from each study. Be specific with addressing factual points from the readings to back up your thoughts.

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Macmillan Learning Proximate Ultimate Male cardinals with bright plumage attract more females because they are healthier. Answer Bank The bright plumage of male cardinals attracts female cardinals. Trees conserve energy by going dormant in the winter. Dropping temperatures and shorter days signal trees to lose their leaves. Ants swarm when they smell distress pheromone.

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Which of the following regulations establishes the SEC's requirements for nonfinancial information disclosure? Multiple Choice Regulation S-4 Regulation 8-K Regulation S-X Regulation S-1 Regulation S-K

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QUESTION 20 The valuation of a bond, a business, or a loan is based upon the cash flow and your discount or required rate of return. A. The higher the required rate of return, the lower the value. B. The higher the required rate of return, the higher the value. C. The lower the required rate of return, the lower the value. D. The required rate of return has no impact on valuation. QUESTION 21

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6. For the following exercises, find an equation of the level curve of f that contains the point P. A. f(x,y) = 1- 4x² - y², P(0, 1) B. A thin plate made of iron is located in the xy-plane. The temperature T in degrees Celsius at a point P(x, y) is inversely proportional to the square of its distance from the origin. Express T as a function of x and y. C. Refer to the preceding problem. Using the temperature function found there, determine the proportionality constant if the temperature at point P (1,2) is 50°C. Use this constant to determine the temperature at point Q (3,4). D. Refer to the preceding problem. Find the level curves for T = 40°C and T = 100°C, and describe what the level curves represent.

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Identify the ways that the practitioner used skills to enhance understanding. What are additional ways that the practitioner could have enhanced understanding? Give specific examples of what the practitioner could have said.

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Which is a bacterium usually found in the soil and water and on the skin of healthy people?

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Choose the equation of a circle with radius 9 and center (3, – 6). Choose the correct answer below. A. $ (x-3)^2 + (y + 6)^2 = 81 $ B. $ (x+3)^2 + (y - 6)^2 = 81 $ C. $ (x-3)^2 + (y + 6)^2 = 9 $ D. $ (x+3)^2 + (y -6)^2 = 9 $

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