1.The cost function for a certain company is

C = 50x + 600

and the revenue is given by

R = 100x 0.5x².

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 $600.

2. 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 = t² + 13t + 140,

where

1 t 6.

Find the day that 170 students had the flu. Recall that the restriction on t is at most 6.