a business firm has made an analysis of its production facilities and its production facilities and its personnel. with the present equipment and number of workers, the firm can produce 3, 000 units per day. it was estimated that without any change in investment the rate of change in investment the rate of the change of the number units produced per day with respect to a change in the number of additional workers is 80-6x ^1/2 where x is the number of additional workers. find the daily production if 25 workers are added to the labor force.

this very similar to the other. see what you can do with it. If you get stuck, show whatcha got ...

Where sir

duh -- the one just below this one. You posted it!

To find the daily production after adding 25 workers to the labor force, we need to use the given equation:

Rate of change of units produced per day = 80 - 6x^(1/2)

Here, x represents the number of additional workers. We know that the firm can produce 3,000 units per day with the present equipment and number of workers.

Let's plug in the given values and calculate the rate of change of units produced per day with 25 additional workers:

Rate of change of units produced per day = 80 - 6(25)^(1/2)
= 80 - 6(5)
= 80 - 30
= 50

Now, to calculate the daily production after adding 25 workers, we need to add the rate of change of units produced per day to the initial daily production.

Daily production with 25 additional workers = 3,000 + 50
= 3,050

Therefore, the daily production with 25 additional workers is 3,050 units.