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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Answer:
It depends on the spinner and how many of each color spaces are on it.
Step-by-step explanation:
A favorable outcome means an outcome that matches your criteria.
Example: You spin a spinner with 10 spaces. 3 blue, 2 red, 3 green, 2 yellow.
If you spin the spinner once, there are 3 favorable outcomes (remember a favorable outcome means landing on blue in this case).
Spinning the spinner twice would lead to at least 100 outcomes, 9 of which are favorable.
Answer:
The answer is the option D
; All real numbers
Step-by-step explanation:
we have
Calculate f(x)*g(x)
Multiply applying the distributive property
The domain of the function is the interval------> (-∞,∞)
All real numbers
Answer:
(-5,-3)
Step-by-step explanation:
y values minus y values over x values minus x values
The Cube Root Of -343 is ( -7)
