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

question 83

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.

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Definitions:

Cigarette Smoking

The act of inhaling and exhaling the smoke of tobacco or a drug.

Experiment

An experimental method conducted to explore a new finding, verify a theory, or prove an established truth.

Coincidental Occurrence

An event or circumstance that occurs at the same time by chance but without any causal connection.

Illusory Correlation

The perception of a relationship between two variables even when no such relationship exists, often due to cognitive biases.