Answer
$\$5.00$/hour
Work Step by Step
To have profit zero set Total cost = Revenue:
$𝑤 \times 160 + 150 + 50 = 1,000$
So
$𝑤 \times 160 =800$
$w =\frac{800}{160}$
$w=5$
So the wage would have to be $\$5.00$/hour for the firm to just break even (zero economic profit) on that additional worker.
