Answer:
The maximum revenue is $900, obtained with 30 people
Step-by-step explanation:
Naturally, the answer should be a number equal or higher than 20, because up to 20 persons, each one pays the same. Lets define a revenue function for x greater than or equal to 20.
f(x) = x*(40-(x-20)) = -x²+60x
Note that f multiplies the number of persons by how much would they pay (here, assuming that there are more than 20).
f is quadratic with negative main coefficient and its maximum value will be reached at the vertex.
The value of the x coordinate of the vertex is -b/2a = -60/-2 = 30
for x = 30, f(x) = 30*(40-(30-20))=30*30=900
So the maximum revenue is $900.
Answer:
The value of x = -13
Step-by-step explanation:
Given the expression
Multiply both sides by 2
simplify
Subtract 1 from both sides
Simplify
Divide both sides by 0.2
Simplify
Therefore, the value of x = -13
Answer:Thanks
Step-by-step explanation:
Answer:
$8
Step-by-step explanation:
We can write an equation with the scenario given and solve for what we need, Alberto's weekly allowance.
Let his weekly allowance be "x"
Since he spend HALF of it, he spent 0.5x of it.
He has remaining also 0.5x of it
Now, whatever he has (0.5x), he gets $4 more from cleaning windows. After that he has:
0.5x + 4
This amount is equal to $8, so we can write:
0.5x + 4 = 8
0.5x = 8 - 4
0.5x = 4
x = 8
So, alberto's weekly allowance is $8
