Answer:
Number of t shirts to be sold to have a profit of $2,000 = 42
Step-by-step explanation:
We have profit
[tex]p=s^2+9s-142[/tex]
We need to find how many T-shirts should be sold to earn a profit of more than $2,000, that is
[tex]s^2+9s-142\geqslant 2000\\s^2+9s-2142\geqslant 0\\s=\frac{-9\pm \sqrt{9^2-4\times 1\times (-2142))}}{2\times 1}\\s=\frac{-9\pm 93}{2}\\s=42\texttt{ or }-51[/tex]
Number of t shirts to be sold to have a profit of $2,000 = 42
