If the profit from the sale of x units of a product is P = 105x − 300 − x2, what level(s) of production will yield a profit of $2400? (Enter your answers as a comma-separated list.)

Answer : The level(s) of production will be, (60, 45)

Explanation :

As we are given the expression:

The production yield a profit of $2400. That means,

Rearranging the terms, we get:

The general quadratic equation is,

Formula used :

Now we have to solve the above equation and we get the value of 'x'.

a = 1, b = -105, c = 2700

x = 60

and,

x = 45

The values of 'x' are 60 and 45.

Therefore, the level(s) of production will be, (60, 45)

b. take periodic breaks and alternate between tasks.  

will increase work efficiency, and avoid health issues.