Answer
11,000 plates
Work Step by Step
Find the slope of the demand curve.
$slope=\frac{6000-16000}{60-40}=\frac{-10000}{20}=-500$
Use the slope to find the new point.
$-500=\frac{6000-d}{60-50}$
$-500=\frac{6000-d}{10}$
$-500\times10=\frac{6000-d}{10}\times10$
$-5000=6000-d$
$-5000+5000+d=6000-d+5000+d$
$d=11000$