College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN: 9781305652231
Author: R. David Gustafson, Jeff Hughes
Publisher: Cengage Learning
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As a result of increasing energy costs, the growth rate of the profit of a 4-year old glassblowing company has begun to decline. The company's
management, after consulting with energy experts, decides to implement certain energy-conservation measures aimed at cutting energy bills.
The general manager reports that, according to his calculations, the growth rate of their profit should be on the increase again within 5 years. If
the glassblowing company's profit (in hundreds of dollars) t years from now is given by the function
P(t) = t - 16t? + 25t + 50
(0 <t< 8)
%3D
determine whether the general manager's forecast will be accurate.
Hint: Find the inflection point of the function P and study the concavity of P.
Yes, the forecast will be accurate.
No, the forecast will not be accurate.
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Transcribed Image Text:As a result of increasing energy costs, the growth rate of the profit of a 4-year old glassblowing company has begun to decline. The company's management, after consulting with energy experts, decides to implement certain energy-conservation measures aimed at cutting energy bills. The general manager reports that, according to his calculations, the growth rate of their profit should be on the increase again within 5 years. If the glassblowing company's profit (in hundreds of dollars) t years from now is given by the function P(t) = t - 16t? + 25t + 50 (0 <t< 8) %3D determine whether the general manager's forecast will be accurate. Hint: Find the inflection point of the function P and study the concavity of P. Yes, the forecast will be accurate. No, the forecast will not be accurate.
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