Chuchee4604
14.03.2022 •
Mathematics
When is the turtle's distance from the water 4 feet?
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Ответ:
At 6.5 dollars price of each headphone the revenue will be maximum which is $911.25.
Step-by-step explanation:
A company makes and sells headphones. The function R= - 5x² +65x + 700 gives the amount of money the company expects to make when the price of the headphones is x dollars.
Now, we can convert the parabolic function of revenue R(x), to vertex form.
So, R = - 5x² + 65x + 700
⇒ R = -5(x² - 13x + 6.5²) + 700 + 5 × 6.5²
⇒ R = - 5(x - 6.5)² + 911.25
⇒ 5(x - 6.5)² = - (R - 911.25)
⇒ (x - 6.5)² = - 0.2 (R - 911.25)
Therefore, the parabola has vertex at (6.5,911.25) and its axis is parallel to negative y-axis.
Hence, the function has maxima at point (6.5,911.25) point.
And hence the x-value represents at x = 6.5 dollars price of each headphone the revenue will be maximum which is $911.25. (Answer)