Answer: 3
Step-by-step explanation:
Answer:
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)
Answer:
See below ↓↓
Step-by-step explanation:
<u>Plan 1</u>
<u>Plan 2</u>
<u>Part A</u>
<u>Equating them</u>
⇒ 127x = 363 + 94x
⇒ 33x = 363
⇒ x = <u>11 months [They will be same at this point]</u>
<u>Part B</u>
⇒ Plan 1 : 127(24) = $3048
⇒ Plan 2 : 363 + 94(24) = 2256 + 363 = $2619
⇒ I would recommend Plan 2 as it costs less for the time period of 2 years