Answer:
Step-by-step explanation:
Let C(x) be the cost to produce x batches of widgets, and let R(x) be the revenue in thousands of dollars.
Profit function = Revenue - cost
So we get profit function by subtracting C(x) from R(x) using algebraic method of subtraction.
Profit function of x
=
The hourly growth rate of bacteria is 191.25
<u>Solution:</u>
Given that, initially Shelly put 85 bacteria and waits 4 hours
Amount of bacteria after 4 hours = 850
Now, number of bacteria increased = 850 bacteria – initial 85 bacteria
Number of increased bacteria = 850 – 85 = 765 bacteria.
So, 765 bacteria were produced in 4 hours.
So hourly growth rate( per hour) can be found out by as follows:
Hence, the hourly growth rate of bacteria is 191.25