The number, N, of children that can be enrolled in a private school is a function of the number of certified teachers, T, and the number of aides, A, available, according to the formula .
Teachers average an annual salary of $34,000 and aides average an annual salary of $24,000. The annual budget for salaries is B = $760,000. Using Lagrange multipliers to maximize enrollment, we find that T = _____, A = _____, and = _____. Round T and A to the nearest whole number; round
to 5 decimal places.
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