The cost, C, to produce b baseball bats per day is modeled by the function C(b)=0.06b^2-7.2b+390 What number of bats should be produced to keep costs at a minimum? 27 bats 60 bats 174 bats 390 bats

## Step 1<br />The given function \(C(b)=0.06b^{2}-7.2b+390\) is a quadratic function. The graph of this function is a parabola that opens upwards because the coefficient of \(b^{2}\) is positive. <br /><br />## Step 2<br />The minimum cost is achieved at the vertex of the parabola. For a quadratic function in the form \(f(x) = ax^2 + bx + c\), the x-coordinate of the vertex is given by \(-b/2a\).<br /><br />## Step 3<br />In this case, \(a = 0.06\) and \(b = -7.2\). So, the number of bats that should be produced to keep costs at a minimum is given by \(-(-7.2)/2*0.06 = 60\).