As you know, the consumption of opioids in the US has been matter of great medical concern. A study has suggested that the consumption of drugs starting 3 years ago, can be modeled by the equation: 10000t? + 280 t3 + 7 Where C= consumption in thousands of drug pills t = time in years, starting 3 years ago Discuss the proposed mathematical model by addressing the following points shown by the model: a) Determine whether the consumption of drugs is, at present, still increasing or has started to decrease. b) Based on your finding of aspect a), when "did" or "will" the consumption of drugs peak? c) Also, based on your finding of aspect a), what would you report be in reference to the rate of consumption at present? Use a graph utility to plot the function and illustrate the discussion.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Please review the question below and explain all steps clearly and thoroughly (please use neat handwriting if handwritten), and use a graph utility to plot the function and illustrate the discussion, thank you very much!

 

As you know, the consumption of opioids in the US has been matter of great medical concern. A
study has suggested that the consumption of drugs starting 3 years ago, can be modeled by the
equation:
10000t?
+ 280
t3 + 7
Where
C= consumption in thousands of drug pills
t = time in years, starting 3 years ago
Discuss the proposed mathematical model by addressing the following points shown by the
model:
a) Determine whether the consumption of drugs is, at present, still increasing or has started to
decrease.
b) Based on your finding of aspect a), when "did" or "will" the consumption of drugs peak?
c) Also, based on your finding of aspect a), what would you report be in reference to the rate of
consumption at present?
Use a graph utility to plot the function and illustrate the discussion.
Transcribed Image Text:As you know, the consumption of opioids in the US has been matter of great medical concern. A study has suggested that the consumption of drugs starting 3 years ago, can be modeled by the equation: 10000t? + 280 t3 + 7 Where C= consumption in thousands of drug pills t = time in years, starting 3 years ago Discuss the proposed mathematical model by addressing the following points shown by the model: a) Determine whether the consumption of drugs is, at present, still increasing or has started to decrease. b) Based on your finding of aspect a), when "did" or "will" the consumption of drugs peak? c) Also, based on your finding of aspect a), what would you report be in reference to the rate of consumption at present? Use a graph utility to plot the function and illustrate the discussion.
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