There are 50 apple trees in an orchard. each tree produces 800 apples. for each additional tree planted in the orchard, the output per tree drops by 10 apples. this is represented by p=40,000+300x-10x^2, where p stands for the total production of apples and x stands for the number of trees added. a. what is the maximum number of trees that should be added to get the maximum amount of production? b. what is the maximum production of apples?

Step-by-step explanation:

The given function is,

where,

P = the total production of apples,

x = the number of trees added.

As the quadratic function has a negative leading coefficient, so it will open downward and at the vertex the value of function is maximum.

The vertex will be at

The value of the function will be maximum at,

Putting the values,

So at x=15 or for 15 number of trees the production will be ,maximum.

Putting x=15 in f(x) will yield the maximum production of apples.

-8

Step-by-step explanation: In this problem we're asked to add -3 + -5 so let's use a number line. A negative represents a move the left on the number line and a positive represents a move to the right on the number line.

So starting at 0, -3 tells us to move 3 units to the left along the number line. From there, -5 tells us to move 5 units further to left so you can see from the picture that we end up at -8.

This means that -3 + -5 is -8.