A hypothetical management science problem requires us to find the cheapest "supercircuit" in a graph. Three algorithms are available: Algorithm 1, Algorithm 2, and Algorithm 3.Algorithm 3 never produces a supercircuit that is off by more than 10% from the cheapest supercircuit. The amount of time that it takes to carry out Algorithm 3 is: 1 second for a graph with 5 or less vertices, 30 seconds for a graph with 6 vertices, 
for a graph with 7 vertices, and so on, increasing by 10 seconds every time we add a vertex (from 7 vertices on). Algorithm 3 is
A. an optimal and efficient algorithm.
B. an approximate and inefficient algorithm.
C. an optimal and inefficient algorithm.
D. an approximate and efficient algorithm.
E. none of these
Answer: D
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A. {10,000, 81} B. {10, 3} C. {-10, -3} D. {100, 9}
Find the y-intercept and any x-intercepts.y = x2 + 4
A. y-intercept (4, 0), no x-intercepts B. y-intercept (0, 4), no x-intercepts C. y-intercept (0, 4), x-intercept (4, 0) D. x-intercept (4, 0), no y-intercepts
Solve the equation.4x = 256
A. {4} B. {64} C. {3} D. {5}
Provide an appropriate response.Suppose a brewery has a filling machine that fills 12 ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean of 
and a standard deviation of 0.04 ounce. Find the probability that the bottle contains fewer than 
of beer.
A. 0.4938 B. 0.0062 C. 0.5062 D. 0.9938