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)

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls

sites: