Carefully show all your work. Justify all the steps in your answer with a sentence.
Answers should be exact and in simplest form.

  1. (2 points) The total cost in hundreds of dollars to produc x gallons of honey is C(x) =

    x + 2 for x ≥ 0. From a specific day, let t be the elapsed time in days. The amount of
    produced honey in total at day t from day 0 is modeled to be P(t) = 100e
    0.02t − 1
    0.02t + 1
    Determine by how much the amount of produced honey is increasing with respect to time
    at day 50. Write your answer in exact and simplest form with the unit.

Sample Solution