Systems of Linear Inequalities and Linear Programming

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timer Asked: May 18th, 2015

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Question 2 1. Which point represents a solution to the system of inequalities shown below? (4, 1) (2, -2) (-1, 3) (1, -4) Question 3 1. Given the following graph of a system of inequalities, the point (0, 0) _____________. satisfies all inequalities and is part of the solution set satisfies only one of the inequalities and, thus, is part of the solution set satisfies only some of the inequalities and, thus, is not part of the solution set does not satisfy any inequality and, thus, is not in the solution set Question 4 1. The shape of the solution region for the system following? Select all that apply. can be described as which of the triangle rectangle square trapezoid Question 5 1. What are the coordinates of the vertices of the solution region for the system ? (0, 0), (0, 3), (3, 0) (0, 0), (3, 3), (3, 0) (0, 0), (3, 3), (3, 6) (0, 0), (3, 6), (6, 3) Question 6 1. A catering company is offered $650 to buy poultry for a party. The company can either buy turkey, which costs $1.40 a pound, or chicken, which costs $1.85 per pound. The client needs at least 400 pounds of meat. Which of the following systems correctly describe the possible amounts of chicken (c) and turkey (t) for this catering job? Question 7 1. An art student is searching for a rectangular canvas to paint on. His professor requires that the height and width of each canvas exceed 12 inches, but because of the lack of framing materials, the perimeter cannot exceed 60 inches. Which of the following systems correctly describe the possible lengths (l) and width (w) of the canvas? Question 8 1. Find the maximum and minimum values by evaluating the equation points if the restrictions are the following: minimum: 0, maximum: 12 minimum: 4, maximum: 12 minimum: 0, maximum 8 minimum: 4, maximum 8 at the critical Question 9 1. Zack works at a carwash and can either do interior carpet cleaning, which takes 30 minutes per job, or exterior car washes, which takes 20 minutes per job. He works a maximum of six hours per day. If he is paid $5 for each exterior car wash and $6 for each interior carpet cleaning job, which of the following is true about the number of hours Zack can clean carpets (c) and do exterior car washes (e). The system correctly represents the situation. The critical points (c, e) are (0, 0), (12, 0), and (0, 18). Zack can maximize his earnings by doing 12 carpet cleaning jobs and zero exterior car washes. Zack can maximize his earnings by doing zero carpet cleaning jobs and 12 exterior car washes.
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