Solve the linear programming problem.A summer camp wants to hire counselors and aides to fill its staffing needs at minimum cost. The average monthly salary of a counselor is $2400 and the average monthly salary of an aide is $1100. The camp can accommodate up to 45 staff members and needs at least 30 to run properly. They must have at least 10 aides, and may have up to 3 aides for every 2 counselors. How many counselors and how many aides should the camp hire to minimize cost?
A. 18 counselors and 12 aides
B. 12 counselors and 18 aides
C. 35 counselors and 10 aides
D. 27 counselors and 18 aides
Answer: B
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Write the logarithmic statement in exponential form. For example, "log 2 8 = 3" becomes "2 3 = 8" in exponential form.log 10 100 = 2
A. 10 2 = -100 B. 10 2 = 0 C. 2 10 = 100 D. 10 2 = 100 E. 10 100 = 2
New telephone lines must be installed to connect 9 cities (A, B, C, D, E, F, G, H and J). Due to government regulations, the only possible connections that are allowed are shown by the edges on the network below. The numbers on the edges indicate the cost (in millions of dollars) of each possible connection. The telephone company wishes to connect the cities in the cheapest possible way.
The total cost of the optimal solution to this problem is
A. 21 million. B. 19 million. C. 20 million. D. 18 million. E. none of these
Solve the problem.For a circle of radius 4 feet, find the arc length s subtended by a central angle of 30°. Round to the nearest hundredth.
A. 2.09 ft B. 6.28 ft C. 376.99 ft D. 4.19 ft
Rationalize the denominator.
A. 
B. 
C. 
D. 