Use graphical methods to solve the linear programming problem.2x + 3y ? 122x + y ? 8x ? 0y ? 0Maximize P = 6x + 7y
A. Maximum of 24 when x = 4 and y = 0
B. Maximum of 32 when x = 3 and y = 2
C. Maximum of 32 when x = 2 and y = 3
D. Maximum of 52 when x = 4 and y = 4
Answer: B
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Solve the problem.A sprinkler rotates back and forth through an angle ?, as shown in the figure. At a distance of 4 feet from the sprinkler, the rays that form the sides of angle ? are 8 feet apart. Find ?.
A. 63° B. 45° C. 90° D. 32°
Use common or natural logarithms to solve the exponential equation symbolically.2(5 - 3x) = 
A. x = 
+ 
B. x = 
- 
C. x = - 
+ 15
D. x = 
- 5
Decide whether 
is positive, negative, or zero.
Provide an appropriate response.Suppose that you are solving a system of three linear equations and have evaluated D, Dx, Dy, and Dz. Under what condition does Cramer's rule not apply?
A. D = 0; and either Dx = 0, Dy = 0, or Dz = 0 B. Dx = 0, Dy = 0, or Dz = 0 C. Dx = 0 D. D = 0