Use the two steps for solving a linear programming problem to solve the 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. 35 counselors and 10 aides
B. 12 counselors and 18 aides
C. 18 counselors and 12 aides
D. 27 counselors and 18 aides
Answer: B
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Find all real numbers in the interval [0, 2?) that satisfy the equation.sec 
= cos 
A. 
B. 
C. 
D. 
Write the exponential equation as an equation involving a common logarithm or a natural logarithm.9x = 729
A. logx729 = 9 B. log x = 9 C. log9 729 = x D. log7299 = x
Find a rectangular equation for the plane curve defined by the parametric equations.x = 5 tan t, y = 2 sec t; 0 ? t ? 2?
A. y = x2 - 9; for x in -3 ? x ? 3
B. y = 2
; for x in -? < x < ?
C. 
- 
= 1; for x in -? < x < ?
D. 
+ 
= 1; for x in -? < x < ?
Solve the problem.A projectile is fired from a cliff 200 feet above the water at an inclination of 45° to the horizontal, with a muzzle velocity of 350 feet per second. The height h of the projectile above the water is given by 
where x is the horizontal distance of the projectile from the base of the cliff. How far from the base of the cliff is the height of the projectile a maximum?
A. 3071.09 ft B. 1914.06 ft C. 957.03 ft D. 1157.03 ft