contestada

The price-demand equation for avocados is 10 p + x = 25 , where p is the price of an avocado and x is the weekly demand (in thousands) for avocados. Write an expression for revenue as a function of the weekly price for avocados.

Respuesta :

We have been given the price-demand equation for avocados is 10 p + x = 25.

Let us solve the equation for x.

[tex]10 p + x = 25[/tex]

Subtract 10p to both sides of the equation

[tex]x=25-10p[/tex]

Revenue function is given by

[tex]R(x)=xp\\ \\ R(p)=(25-10p)p\\ \\ R(p)=25p-10p^2[/tex]

Therefore, the revenue function in terms of weekly price for avocados is given by

[tex]R(x)=25p-10p^2[/tex]

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