PLEASE HELP IM GIVING 25 POINTS!!! THANKSSSSS

A hoverboard manufacturer has just announced the Glide 5 hoverboard. The accounting department has determined that the cost to manufacture the Glide 5 hoverboard and the equation is y = 25.42x + 23452y

The revenue equation is y=70.52x

What is the break-even point for the Glide 5 hoverboard?
The break even point for the Glide 5 hoverboard is .
(Round x to the nearest whole number and y to two decimal places.)
PLEASE HELP IM GIVING 25 POINTS!!! THANKSSS

Respuesta :

The break even point will be "(520, 36670.4)".

Given that:

Cost function,

  • [tex]y = 25.42x + 23452[/tex]

Revenue function,

  • [tex]y=70.52x[/tex]

We know that, at break even:

→ [tex]Cost \ price = Revenue \ price[/tex]

Now,

→ [tex]70.52x=25.42x + 23452[/tex]

By substracting "25.42x" from both sides, we get

→ [tex]70.52x-25.42x=25.42x + 23452-25.42 x[/tex]

→                 [tex]45.1 x = 23452[/tex]

→                        [tex]x = \frac{23452}{45.1}[/tex]

→                           [tex]= 520[/tex]

then,

→ [tex]y = 70.52x[/tex]

→    [tex]= 70.52\times 520[/tex]

→    [tex]= 36670.4[/tex]

Thus the answer above is correct.

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