Numerical Optimization Using GDC

00:00 3 marks

  • Build Confidence
  • SL & HL
  • Tier 2
  • Local extrema
  • Graphical analysis using GDC
  • Numerical optimization

Using a graphing display calculator (GDC), determine the value of \(x\) at which the profit function \(P(x) = -2x^2 + 8x + 3\) attains a local maximum. Give your answer correct to 2 decimal places.

Hint Hint

Hint

Utilize the maximum function on your calculator to find the vertex of the parabola.

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Complete Answer

\(x \approx 2.00\)

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