Question

The cost for producing stuffed animals is modeled by the function C=0.05x^2 -2x+50 . 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

minimum is the x value of the vertex
to find that for
ax^2+bx+c=f(x)
xvalue of vertex=-b/2a

0.05x^2-2x+50
-b/2a=-(-2)/2(0.05)=1/0.05=20

the x value is at 20
20 animals ar produced
plug back to find cost
0.05(20^2)-2(20)+50
0.05(400)-40+50
20+10
30





ANSWERS
The minimum cost occurs when 20 stuffed animals are produced.

The maximum cost is $30.