Suppose a local vendor charges $2 per hot dog and that the number of hot dogs sold per hour is given by
x(t) = −4t^2 + 20t + 64,
where t is the number of hours since 10 AM,
0 ≤ t ≤ 4.
Find an expression for the revenue per hour R as a function of x??

Question

Suppose a local vendor charges $2 per hot dog and that the number of hot dogs sold per hour is given by 
x(t) = −4t^2 + 20t + 64,
 where t is the number of hours since 10 AM, 
0 ≤ t ≤ 4.
Find an expression for the revenue per hour R as a function of x??

anonymous · Answer

This is kind of confusing, because the problem statement is complex but the answer seems too simple.

If we know the number of dogs per hour, then the revenue per hour is just $2*x(t)...

So thats it...
R = 2 * x