Question

The profit in dollars of running an assembly line that produces custom uniforms each day is given by P(t)=−40t2+960t−4,000

where t represents the number of hours the line is in operation. Determine the number of hours the assembly line should run in order to make a profit of $1,760 per day.

Answer 1

12

Explanation:

`-40t^2+960t-4000=1760 \\ \\ -t^2+24t-100=44 \\ \\ t^2-24t+144=0 \\ \\ (t-12)^2=0 \\ \\ t=12`