Answer:
Therefore he should sell 25 units of tacos to minimize his cost .
The minimum cost is $240.
Step-by-step explanation:
Given function,
[tex]C(x)= x^2-50x+865[/tex]
where C is the cost in dollar to sell x units of tacos.
We know that,
If a function y(x)= ax²+bx+c,
then the function is minimum at [tex]x= -\frac{b}{2a}[/tex]
Here a= 1 , b= -50 and c= 865.
Therefore
[tex]x= -\frac{(-50)}{2\times 1} =\frac{50}{2}=25[/tex]
Therefore he should sell 25 units of tacos to minimize his cost .
putting the value of x in the given function
C(25)=25²-(50×25)+865
=240
The minimum cost is $240.
