Final answer:
To calculate the costs of seizing 25%, 50%, and 75% of the drug using the given model, we substitute the respective p values into the equation and perform the calculations to obtain 176, 528, and 1584 million dollars, respectively. The model implies that seizing 100% of the drug is not possible as it leads to division by zero, indicating an infinite cost.
Step-by-step explanation:
The student's question pertains to a mathematical function that models the cost of drug seizure interventions by the federal government, where C represents the cost in millions of dollars and p is the percentage of the drug intercepted.
To find the cost of seizing 25% of the drug, substitute p = 25 into the equation: C = 528*25/(100 - 25) = 528*25/75. Perform the calculations to get C = 176 million dollars.
For a 50% seizure rate, substitute p = 50 into the equation: C = 528*50/(100 - 50) = 528*50/50. Calculate to get C = 528 million dollars.
To find the cost of seizing 75% of the drug, substitute p = 75 into the equation: C = 528*75/(100 - 75) = 528*75/25. Calculate to get C = 1584 million dollars.
According to this model, attempting to seize 100% of the drug would result in a division by zero, which is mathematically undefined. Therefore, the model suggests that it is not possible to seize 100% of the drug as the cost becomes infinitely large.