19 trees should be planted to maximize the total
<h3>How many trees should be planted to maximize the total</h3>
From the question, we have the following parameters:
Number of apples, x = 18
Yield, f(x) = 80 per tree
When the number of apple trees is increased (say by x).
We have:
Trees = 18 + x
The yield decreases by four apples per tree.
So, we have
Yield = 80 - 4x
So, the profit function is
P(x) = Apples * Yield
This gives
P(x) = (18 + x) *(80 - 4x)
Expand the bracket
P(x) = 1440 - 72x + 80x - 4x^2
Differentiate the function
P'(x) = 0 - 72 + 80 - 8x
Evaluate the like terms
P'(x) = 8 - 8x
Set P'(x) to 0
8 - 8x = 0
Divide through by 8
1 - x = 0
Solve for x
x = 1
Recall that:
Trees = 18 + x
So, we have
Trees = 18 + 1
Evaluate
Trees = 19
Hence, 19 trees should be planted to maximize the total
Read more about quadratic functions at:
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Answer:
no
Step-by-step explanation:
The second package costs $2 for each pair of socks. If the first package cost that much, it would be 8×$2 = $16 for 8 pairs of socks. That is not the same as $12 for 8 pairs.
__
Another way to look at it is the first package costs twice as much as the second, but has more than twice as many pairs of socks. That means the rates are not equivalent.
A total of 1,716 selections of the 7 flowers are possible.
Step-by-step explanation:
Step 1:
There are 13 flowers from which Jeanine Baker plans to use 7 of them.
To determine the number of selections that are possible we use combinations.
The formula for combinations is; 
.
Step 2:
In the given formula, n is the total number of options and r is the number of options to be selected.
For this question, 
and 
.
So 
So a total of 1,716 selections are possible.
Answer:
<h3>The answer is 24</h3>
Step-by-step explanation:
5t + 2m
m = 7 t = 2
Substitute the above values into the expression
That's
5(2) + 2(7)
10 + 14
24
Hope this helps you
Answer:
345(I think)
Step-by-step explanation:
