Pharmaceutical firm? invest significant money in testing any new medication. Aft
ID: 3212800 • Letter: P
Question
Pharmaceutical firm? invest significant money in testing any new medication. After the drug is approved for use, it still takes time for physicians to fully accept and start prescribing the medication. The acceptance by physicians approaches a limiting value of 100%, or 1; after time t in months. Suppose that the percentage P of physicians prescribing a new cancer medication is approximated by the equation below. Complete parts (a) through (c). What percentage of doctors are prescribing the medication after 8 months? (Do not round until the final answer. Then round to the nearest tenth as needed.) Find P '(8), and interpret its meaning. (Do not round until the final answer. Then round to the nearest tenth as needed.) Choose the correct interpretation below. At 8 months, the percentage of doctors who are prescribing the medication is increasing by 1.7% per month. At 8 months, the percentage of doctors who are prescribing the medication is decreasing by 1.7% per month. At 8 months, 1.7% of doctors are prescribing the medication. At 8 months, 1.7% of doctors are not prescribing the medication.Explanation / Answer
a> 95.6 % b> P' = 100 * 0.39 * e^(-0.39t) P'(8) = 1.7 % this means that the acceptance level or percentage of doctors presciubibg the medicine is instantaneously increasing at a rate of 1.7 % per month hence a>