Diane has a booth at the state fair that sells bags of popcorn she has found that her daily costs are approximated by the function c(x) =x squared -20x+150

Diane has a booth at the state fair that sells bags of popcorn she has found that her daily costs are approximated by the function c(x) =x squared -20x+150

a) How many bags of popcorn must Diane sell to minimize her cost?

b) What is Diane’s minimum cost?

a) 10

b) 50

Step-by-step explanation:

According to the quadratic equation given in the question ,

the cost will be minimum at

comparing  x^{2} -20x+150[/tex]  with the standard quadratic equation

we get

a= 1, b = -20, c=150

now

Hence to minimize her cost, she must sell

a) x= 10 popcorns

and her minimum cost is

b)

a² + b²= c²

24² + 7² = c²

c= 25