Use graphical methods to solve the linear programming problem.A math 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. 12 counselors and 18 aides
D. 27 counselors and 18 aides
Answer: C
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The number N, in millions, of Americans with Internet access t years after 1990 is modeled by the function
.
According to this model, what is the maximum number of Americans who will ever have Internet access? Round your answer to two decimal places , if necessary.
?
A. 198.8 million B. 99.40 million C. 2.16 million D. 91 million
Solve the problem.Jim has 56 trees that he wants to plant in a rectangular array. List the possible arrays.
A. 7 × 8, 8 × 7 B. 1 × 56, 7 × 8 C. 2 × 28, 4 × 14 D. 1 × 56, 2 × 28, 4 × 14, 7 × 8
Solve the system by the substitution method.x2 + y2 = 21y2 = 2x + 13
A. (2, 
), (-4, 
), (2, -
), (-4, -
)
B. (2, 
), (-3, 
), (2, -
), (-3, -
)
C. (3, 
), (-4, 
), (3, -
), (-4, -
)
D. (2, 3
), (-4, 3
), (2, -3
), (-4, -3
)
Translate the problem to a system of equations, then solve using matrices.A $96,000 trust is to be invested in bonds paying 9%, CDs paying 8%, and mortgages paying 10%. The sum of the bond and CD investment must equal the mortgage investment. To earn an $8790 annual income from the investments, how much should the bank invest in bonds?
A. $15,000 B. $13,000 C. $48,000 D. $33,000