Solve using artificial variables.Maximizez = 5x1 + 4x2subject to:x1 + 2x2 = 15 x1 + x2 ? 12 2x1 + x2 ? 30 x1 ? 0, x2 ? 0
A. Maximum is 57 for x1 = 9, x2 = 3
B. Maximum is 60 for x1 = 0, x2 = 15
C. Maximum is 75 for x1 = 15, x2 = 0
D. Maximum is 63 for x1 = 11, x2 = 2
Answer: C
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Express the area of the region bounded by the given line(s) and/or curve(s) as an iterated double integral.The lines 
, 
, and 
A. 
B. 
C. 
D. 
Solve the problem.In a certain apportionment problem, State X has a standard quota of 73.9. The final apportionment to State X is 75 seats. Which of the following apportionment methods could have produced this result?
A. Jefferson's method B. Adams's method C. Hamilton's method D. all of these E. none of these
Factor completely. State that the polynomial is prime if it cannot be factored.169k2 - 4m2
A. (13k - 2m)2 B. prime C. (13k + 2m)2 D. (13k + 2m)(13k - 2m)
Solve the problem. Give an exact answer and an approximation to the nearest tenth.Below is a diagram of a water slide. How far is it along the ground from the end of the slide back to the base of the ladder that leads to the slide?
A. 
ft ? 18.7 ft
B. 
ft = 175.5 ft
C. 
ft ? 3.0 ft
D. 
ft ? 28.3 ft