Question

UESTION 1
c=0.05x^2-2x+50
The cost for producing stuffed animals is modeled by the function . Which of the following is true?

The minimum cost occurs when 20 stuffed animals are produced.

The minimum cost occurs when 30 stuffed animals are produced.

The minimum cost is $20.

The maximum cost is $20.

Answer 1

anyone know

Answer 2

0.05 times itself is 0.0025

Answer 3

+50 is 50.0025

Answer 4

is it a b c or d

Answer 5

divided by 2 is 25 ish

Answer 6

ok so c?

Answer 7

you can use calculus to do this Have wou studied calculus?

Answer 8

no im in algebra 2

Answer 9

caculus next year

Answer 10

yea i think ur correct

Answer 11

oh right
well yo can do its by either drawing a graph or converting the function to vertex form

Answer 12

so b

Answer 13

Can you complete the square?

Answer 14

yes

Answer 15

right so proceed as follows

0.05x^2 - 2x + 50
= 0.05 ( x^2 - 40x + 1000)
= 0.05[ (x - 20)^2 + 1000 - 400)

thats the vertex form
this has a minimum value because coefficient of x^2 is positive and at the minimum point x = 20

Answer 16

oh well!!