Question

PLEASE HELP ME The cost, C, to produce b baseball bats per day is modeled by the function C

b. = 0.06b2 – 7.2b + 390. What number of bats should be produced to keep costs at a minimum?

Answer 1

60 bats... Just took the quiz

Answer 2

The minimum cost is the y-coordinate of the vertex of the parabola represented by the equation. The x-coordinate is the number of bats.


`C(b)=0.06b^2-7.2b+390 \\ a=0.06 \\ b=-7.2 \\ \\ \hbox{the x-coordinate of the vertex: } (-b)/(2a)=(-(-7.2))/(2 * 0.06)=(7.2)/(0.12)=60`

60 bats should be produced every day to keep costs at a minimum.