3. You may use your graphing calculator for this problem. Make sure to explain your answers, including what you did to find each answer. A pharmaceutical company can calculate their monthly profit for selling its signature drug, using the function below, where x represents the number of pounds of the product they sell, and p(x) is measured in hundreds of dollars. p(x) = 3.5x? + 24x – 0.1x3 150 %3D a. How many pounds of the drug must they sell to maximize their monthly profit? How much money would that net for the company? Justify your answer. b. If the company sells 17 pounds of their medication, would their monthly profit be increasing or decreasing? Justify your answer. c. If the company sells 5 pounds of their drug, their profit will be $4500. If they sell 15 pounds, their profit will be $66,000. Explain why there must be an amount of pounds, x, between 5 and 15 pounds, where the rate of the profit would be increasing by $6150 per pound.

3. You may use your graphing calculator for this problem. Make sure to explain your answers, including what you did to find each answer. A pharmaceutical company can calculate their monthly profit for selling its signature drug, using the function below, where x represents the number of pounds of the product they sell, and p(x) is measured in hundreds of dollars. p(x) = 3.5x? + 24x – 0.1x3 150 %3D a. How many pounds of the drug must they sell to maximize their monthly profit? How much money would that net for the company? Justify your answer. b. If the company sells 17 pounds of their medication, would their monthly profit be increasing or decreasing? Justify your answer. c. If the company sells 5 pounds of their drug, their profit will be $4500. If they sell 15 pounds, their profit will be $66,000. Explain why there must be an amount of pounds, x, between 5 and 15 pounds, where the rate of the profit would be increasing by $6150 per pound.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter5: Exponential And Logarithmic Functions

Section5.2: Applications Of Exponential Functions

Problem 43E

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