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An epidemiological study of the spread of a certain influenza strain that hit a small school population found that the total number of students, P, who contracted the flu t days after it broke out is given by the model P = −t^2 + 13t + 150, where 1 ≤ t ≤ 6. Find the day that 180 students had the flu. Recall that the restriction on t is at most 6. t = ?
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The cost function for a certain company is C = 40x + 800 and the revenue is given by R = 100x − 0.5x^2. Recall that profit is revenue minus cost. Set up a quadratic equation and find two values of x (production level) that will create a profit of $800.
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