Question

Reyna runs a textile company that manufactures T-shirts. The profit, p, made by the company is modeled by the function mc025-1.jpg, where s is the number of T-shirts sold. How many T-shirts should be sold to earn a profit of more than $2,000?
s < 42
s > 42
s > 51
s < 51

Answer 1

I can’t see the image file. Please either paste the profit function p(s) here or re-upload the image.

How I’ll solve it once you provide p(s):
1. Set p(s) > 2000.
2. Rearrange to get an inequality in standard form, e.g. f(s) = p(s) − 2000 > 0.
3. If f is linear, solve directly. If f is quadratic, solve f(s) = 0 (use factoring or quadratic formula) to get critical points, then test intervals:
- If the quadratic opens downward, f(s) > 0 between the two roots.
- If it opens upward, f(s) > 0 outside the two roots.
4. Give the s-inequality that matches one of the choices.

Paste the function and I’ll solve it and pick the correct choice for you.