Solve the problem.The average waiting time in a line before getting served is given by ?W = 
where A is the average rate that people arrive at the line and S is the average service time. At a certain bank, the average service time is 4 minutes. By sketching a graph of the equation on the interval 
answer the following questions. What happens to W when A is close to zero? Why does this make sense? What feature of your graph gives this information?
What will be an ideal response?
Answers will vary. Possible answer: As A approaches zero, the waiting time, W, becomes infinitely large. This information is given by the vertical asymptote, 
This makes sense because as the time between arrivals of customers gets smaller, the waiting time increases, becoming infinitely large for 
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Approximate the logarithm to four decimal places using the change of base formula.log4
A. -0.5000 B. 0.3010 C. -2.0000 D. -0.9031
Simplify. Assume that all variables represent nonnegative numbers.3
A. 18x4
B. 18x3
C. 9x4
D. 9x3
Solve the problem.Island A is 150 miles from island B. A ship captain travels 250 miles from island A and then finds that he is off course and 160 miles from island B. What angle, in degrees, must he turn through to head straight for island B? Round the answer to two decimal places. (Hint: Be careful to properly identify which angle is the turning angle.)
A. 110.17° B. 145.08° C. 34.92° D. 55.08°
Use slack variables to convert the constraints into linear equations.Maximize4x + 12y + 7zsubject to:5z + 3y + z ? 12 x + 2y + z ? 24with:x ? 0, y ? 0, z ? 0
A. 5x + 3y + z + u = 12 x + 2y + z + v = 24 -4x - 12y - 7z + M = 0 Maximize M given that x ? 0, y ? 0, z ? 0, u ? 0, v ? 0 B. 5x + 3y + z + u = 12 x + 2y + z + u = 24 4x + 12y + 7z + M = 0 Maximize M given that x ? 0, y ? 0, z ? 0, u ? 0 C. 5x + 3y + z = u - 12 x + 2y + z = v - 24 4x + 12y + 7z = M Maximize M given that x ? 0, y ? 0, z ? 0, u ? 0, v ? 0 D. 5x + 3y + z = u + 12 x + 2y + z = v + 24 -4x - 12y - 7z = M Maximize M given that x ? 0, y ? 0, z ? 0, u ? 0, v ? 0