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 = 7x + 9yConstraintsx ? 0 0 ? y ? 5 2x + 3y ? 12 2x + 3y ? 20
A. Maximum: 59; at (2, 5)
B. Maximum: 70; at (10, 0)
C. Maximum: -28; at (4, 0)
D. Maximum: 42; at (6, 0)
Answer: B
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A. 17.05
B. 0.79
C. 13.65
D. None of the above
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Solve the problem.A triangular lake-front lot has a perimeter of 1900 feet. One side is 300 feet longer than the shortest side, while the third side is 400 feet longer than the shortest side. Find the lengths of all three sides.
A. 500 ft, 800 ft, 900 ft B. 500 ft, 500 ft, 500 ft C. 100 ft, 200 ft, 300 ft D. 400 ft, 700 ft, 800 ft
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. Express the answer in standard form.z1 = 20(cos 338° + i sin 338°)z2 = 4(cos 68° + i sin 68°)
A. -5
B. -5i
C. - 
i
D. - 
+ 
i
Determine if the pair of polar coordinates represents the same point.(4, 0°), (9, 0°)
A. No B. Yes