A young woman is in the market for a new car and wants to know the mechanics of operations to save costs over time. The projected rate to help savings for the car is: x= -27 + sq rt of 1073 / 4...

A young woman is in the market for a new car and wants to know the mechanics of operations  to save costs over time. The projected rate to help savings for the car is:

x= -27 + sq rt of 1073 / 4

C'(x)=223-x²where x repersents how many years the car will get prime use.

The rate of additional maintence and cost of car is

M'(x) = x² + 27x +180

Find the maximum value of f(x)=  net savings x years after the installation of the car upgrades and maitnence.

In what year does this maximum occur?

What area or distance does this maximum correspond to?

What does the maximum mean in relation to this problem?