The cost, cap c , to produce b baseball bats per day is modeled by the function cap c times b is equal to 0 point 0 6 b squared minus 7 point 2 b plus 390 What number of bats should be produced to keep costs at a minimum?

The cost function is a quadratic with a positive leading coefficient, so its minimum occurs at the vertex. For c(b) = 0.06b² − 7.2b + 390, the vertex is at b = −(−7.2)/(2 × 0.06) = 60, so producing 60 bats keeps costs at a minimum.

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