A quantity above break-even has revenue above total cost and therefore positive profit.

highlighted = computed this step

Above break-even

At quantity 12, the table is above the break-even row.

q=12q=12
Profit tableEach row is recomputed from the same exact formula.quantity checksqrevenuecostprofitstart0060-60below88092-12break-even101001000above1212010812

Revenue exceeds cost

Revenue is $120 and total cost is $108.

$120>$108\$120>\$108
Profit tableEach row is recomputed from the same exact formula.quantity checksqrevenuecostprofitstart0060-60below88092-12break-even101001000above1212010812

Profit

Profit is $12. Interpretation: after break-even, each extra unit adds the contribution margin.

Π(12)=$12\Pi(12)=\$12
Profit tableEach row is recomputed from the same exact formula.quantity checksqrevenuecostprofitstart0060-60below88092-12break-even101001000above1212010812

Table check

The table keeps the visual honest by showing revenue, cost, and profit together.

same formula, several quantities\text{same formula, several quantities}
Profit tableEach row is recomputed from the same exact formula.quantity checksqrevenuecostprofitstart0060-60below88092-12break-even101001000above1212010812