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. 27 counselors and 18 aides
B. 12 counselors and 18 aides
C. 35 counselors and 10 aides
D. 18 counselors and 12 aides
Answer: B
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Find the flux of the vector field F across the surface S in the indicated direction.F = 6xi + 6yj + 5k; S is "nose" of the paraboloid z = 5x2 + 5y2 cut by the plane z = 5; direction is outward
A.
B. 25?
C. 35?
D. - 35?
Solve the problem.Elissa wants to set up a rectangular dog run in her backyard. She has 28 feet of fencing to work with and wants to use it all. If the dog run is to be x feet long, express the area of the dog run as a function of x.
A. A(x) = 16x2 - x B. A(x) = 15x - x2 C. A(x) = 13x - x2 D. A(x) = 14x - x2
Convert as indicated.3.7 g to kilograms
A. 0.00037 kg B. 3,700 kg C. 0.0037 kg D. 370 kg
Simplify the complex rational expression.
A.
B.
C. -
D.