Question

Brody Electronics estimates that it will sell $N$ units of a new toy after spending $a$ thousands of dollars on advertising, where $$N(a)=-a^{2}+300 a+6, \quad 0 \leq a \leq 300$$ Find the relative extrema and sketch a graph of the function.

          Brody Electronics estimates that it will sell $N$ units of a new toy after spending $a$ thousands of dollars on advertising, where
$$N(a)=-a^{2}+300 a+6, \quad 0 \leq a \leq 300$$
Find the relative extrema and sketch a graph of the function.

Added by Claire N.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert William Semus

05/06/2022

Step 1

This is a quadratic function in the form of $ f(x) = ax^2 + bx + c $ where $ a = -1 $, $ b = 300 $, and $ c = 6 $. Since $ a < 0 $, the parabola opens downwards. Step 2: Find the vertex The vertex of a parabola given by $ ax^2 + bx + c $ is at \( x = Show more…

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Brody Electronics estimates that it will sell $N$ units of a new toy after spending $a$ thousands of dollars on advertising, where $$N(a)=-a^{2}+300 a+6, \quad 0 \leq a \leq 300$$ Find the relative extrema and sketch a graph of the function.