An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.Objective Functionz = 8x - 17yConstraints0 ? x ? 5 0 ? y ? 8 4x + 5y ? 30 4x + 3y ? 20
A. Maximum: -75; at (1.25, 5)
B. Maximum: 40; at (5, 0)
C. Maximum: -102; at (0, 6)
D. Maximum: 0; at (0, 0)
Answer: B
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Use the guidelines to evaluate the study. From the information given, what is the biggest flaw in the study?A high school principal wanted to know how the teachers at her school felt about early dismissal for Homecoming. She put the names of the 114 faculty in a hat and randomly selected 30 of the names. She gave questionnaires to those 30 people asking whether they agreed or disagreed with the following statement: "Valuable learning time should not be sacrificed for extracurricular social activities." The questionnaires were filled out anonymously. Her conclusion was that 80% of the faculty were opposed to early dismissal for Homecoming.
A. The setting may discourage honest responses B. Participation bias C. Selection bias D. Confounding variables E. The wording of the question
Solve the problem.A plane suddenly experiences turbulence while in flight. At this point the change in its altitude, in feet, is represented by the following function of time:F(t) = 
.Assuming that the turbulence first hits at time t = 0, what is the maximum relative drop the plane will experience due to turbulence? (Round the result to the nearest hundredth.)
A. 16.80 ft B. 0.97 ft C. 8.20 ft D. 0.26 ft
Find the expected value.A car agency has found daily demand to be as shown in the table.
Find the expected number of customers.
A. 9 B. 12 C. 10 D. 2
Find the standard form of the equation of the following conic section.center (-2.7, 0); r = 6
A. (x - 2.7)2 + y2 = 6 B. (x + 2.7)2 + y2 = 36 C. (x - 2.7)2 + y2 = 36 D. (x + 2.7)2 + y2 = 6