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) 35 counselors and 10 aides B) 18 counselors and 12 aides
C) 27 counselors and 18 aides D) 12 counselors and 18 aides
Question 2
An airline with two types of airplanes, P1 and P2, has contracted with a tour group to provide transportation for a minimum of 400 first class, 750 tourist class, and 1500 economy class passengers.
For a certain trip, airplane P1 costs 10,000 to operate and can accommodate 20 first class, 50 tourist class, and 110 economy class passengers. Airplane P2 costs 8500 to operate and can accommodate 18 first class, 30 tourist class, and 44 economy class passengers. How many of each type of airplane should be used in order to minimize the operating cost?
A) 9 P1 planes and 13 P2 planes B) 20 P1 planes and 0 P2 planes
C) 7 P1 planes and 11 P2 planes D) 11 P1 planes and 7 P2 planes
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