A home gardener estimates that 24 apple trees will have an average yield of 104 apples per tree. But because of the size of the garden, for each additional tree planted the yield will decrease by two apples per tree. (a) How many additional trees should be planted to maximize the total yield of apples

The farmer should plant 14 additional trees, for maximum yield.

Step-by-step explanation:

Given

So, we have:

Required

The additional trees to be planted for maximum yield

The function is:

Open bracket

Rewrite as:

Differentiate

Equate to 0 and solve for x to get the maximum of x

Divide by -4

The farmer should plant 14 additional trees, for maximum yield.

1/3

step-by-step explanation:

to find this, you can divide 12 by 4 which is 3 or you can multiply 4 until you reach 12 (4x3=12). both should give you 3, meaning theres three times less bananas than there are oranges.