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
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<h2>
8, 12, 16,...</h2><h2>
Find the 31st term.</h2><h3>352</h3>
<em>Hope I helped. :)</em>
<em />
<em>- Valenteer</em>
Answer: X = 7
Step-by-step explanation:
Or, you don't have to plug any of those in and solve for x
subtract 6 from both sides
2x = 14
divide 14 by 2x
x=7
I would say it is a fixed fee because it doesn’t change
To answer this you need to make simple thought experiment. Since the number of sales after time passes cannot go negative (note that rate at which copies are sold can drop over time but total number cannot) that means that you are adding number of sales at first hour and during first hour.
first option cannot be the answer because you are subtracting 100 copies to total number of sold copies which is not logical.
The answer is D) s(x) = 100 + 12(x-1)
after 1 hour (if you replace x with 1 in equation above) you will get 100 copies which matches conditions in the text.
