The Number, N, of Children That Can Be Enrolled in a Private

Short Answer

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.