The maximum revenue generated is $160000.
Given that, the revenue function for a sporting goods company is given by R(x) = x⋅p(x) dollars where x is the number of units sold and p(x) = 400−0.25x is the unit price. And we have to find the maximum revenue. Let's proceed to solve this question.
R(x) = x⋅p(x)
And, p(x) = 400−0.25x
Put the value of p(x) in R(x), we get
R(x) = x(400−0.25x)
R(x) = 400x - 0.25x²
This is the equation for a parabola. The maximum can be found at the vertex of the parabola using the formula:
x = -b/2a from the parabolic equation ax²+bx+c where a = -0.25, b = 400 for this case.
Now, calculating the value of x, we get
x = -(400)/2×-0.25
x = 400/0.5
x = 4000/5
x = 800
The value of x comes out to be 800. Now, we will be calculating the revenue at x = 800 and it will be the maximum one.
R(800) = 400x - 0.25x²
= 400×800 - 0.25(800)²
= 320000 - 160000
= 160000
Therefore, the maximum revenue generated is $160000.
Hence, $160000 is the required answer.
Learn more in depth about revenue function problems at brainly.com/question/25623677
#SPJ1
Total budget = $13,500
Donations = 12%
Taxes = 12%
Food = 26%
Clothing = 20%
Housing = 10%
and the rest are 5 %
Sum of internal angles of any triangle = 180∘
∴x + 2x + 3x = 180∘
∴6x = 180∘
∴ x = 30∘
So the angles are: 30∘, 60∘ and 90∘
Answer: 
Step-by-step explanation:
Here the give expression is,
We can write,
( because 
)
⇒ Option D is correct.
Answer:
4
Step-by-step explanation:
3x² + 2x - 4
3(-2)² + 2(-2) - 4
3(4) - 4 - 4
12 - 4 - 4
12 - 8
= 4
