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 Function z = 6x + 7yConstraints x ? 0 y ? 0 2x + 3y ? 12 2x + y ? 8
A. maximum 24; at (4, 0)
B. maximum 52; at (4, 4)
C. maximum 32; at (2, 3)
D. maximum 32; at (3, 2)
Answer: D
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Evaluate. The differential is exact.
A. 0 B. 4e8 + 20 C. 4e8 + 21 D. 4e8 + 12
Add or subtract as indicated and write the result in standard form.(7 - 6i) + (2 + 9i)
A. -9 - 3i B. 9 - 3i C. 5 + 15i D. 9 + 3i
Identify the figure.
D?C
A. line segment, 
or 
B. ray, 
C. ray, 
D. line, 
or 
Work the application. Write a legend and an equation. Solve the equation and answer in a complete sentence.The dimensions of a rectangular yard are 28 feet by 115 feet. What is its perimeter?
A. Let p = the perimeter of the rectangular yard. 28 ? 115 = p The perimeter of the rectangular yard is 3220 feet. B. Let p = the perimeter of the rectangular yard. 28 + 28 + 115 = p The perimeter of the rectangular yard is 171 feet. C. Let p = the perimeter of the rectangular yard. 28 + 115 = p The perimeter of the rectangular yard is 143 feet. D. Let p = the perimeter of the rectangular yard. 28 + 28 + 115 + 115 = p The perimeter of the rectangular yard is 286 feet.