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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The ans is the one with G'(-6,0)
Answer:
3, 3.024, 3.04, 10
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Answer:
x=145
Step-by-step explanation:
simply subtract 35 from both sides, so you can isolate the variable. once done, you will get that x=145
Answer:
see below
Step-by-step explanation:
The label on the car's antifreeze container claims to protect the car between -40°C and 125°C.
So inequality which models this situation will be -40°C < T < 125°C
Now we have to show this inequality in Fahrenheit temperature with the help of 
So the compound inequality in Fahrenheit temperature will be
