Give the mathematical formulation of the linear programming problem. Graph the feasible region described by the constraints and find the corner points. Do not attempt to solve.A math camp wants to hire counselors and aides to fill its staffing needs at minimum cost. The monthly salary of a counselor is $2400 and the 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 at most twice as many aides as counselors. How many counselors and how many aides should the camp hire to minimize cost?
What will be an ideal response?
Minimize C = 2400x + 1100y
Subject to 30 ? x + y ? 45
y ? 10
y ? 2x
x ? 0
Corner Points: A = (10, 20)
B = (15, 30)
C = (35, 10)
D = (20, 10)
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