claritzabmartinez89
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Help Due 11:59 pm
A company manufactures and sells cell phone cases. The revenue obtained by selling x cases is given by the
formula
R = 14x - 0.05x^2

Solve the equation below to find the number of cell phone cases they must sell so to receive from $960 in revenue.

960=14x-0.05x^2.

They need to sell ____ or ___ cases to make 960 in revenue.

Help Due 1159 pm A company manufactures and sells cell phone cases The revenue obtained by selling x cases is given by the formula R 14x 005x2 Solve the equatio class=

Respuesta :

mhanifa

Answer:

  • 120 or 160

Step-by-step explanation:

Solve the given quadratic equation:

  • 960 = 14x - 0.05x²
  • x² - 280x + 19200 = 0
  • x = (280 ± [tex]\sqrt{280^2 - 4*19200}[/tex])/2
  • x = (280 ± 40)/2
  • x = 120 or x = 160

Solve the following quadratic equation and we get

[tex]14x - 0.05x²=960\\\\x² - 280x + 19200 = 0\\\\x =\dfrac{(280 ± \sqrt{280^2 - 4\times 19200}}{2}\\\\x = \dfrac{(280 ± 40)}{2}\\\\x = 120 ~or ~x = 160[/tex]

HENCE,

They need to sell [tex]\pmb{\underline{120} }[/tex]or[tex]\pmb{\underline{160} }[/tex] cases to make 960 in revenue.

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