1. The cost C (in dollars) of producing x units of a product is given by C = 0.5x + 500 and the average cost per unit C̅ is given by
C̅ = C / x = 0.5x + 500 / x, x>0.
Determine the average cost per unit as x increases without bound.
2. The cost C (in millions of dollars) for the federal government to seize p% of an illegal drug as it enters the country is given by
C = 528p / 100- p̂ 0 ≤ 100.
(a) Use a graphing utility to graph the cost function.
(b) Find the costs of seizing 25%, 50%, and 75% of the drug.
(c) According to the model, is it possible to seize 100% of the drug? Explain.