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:
C. 1.2
Step-by-step explanation:
A probability is always in the range 0 to 1, inclusive. The value 1.2 cannot be a probability.
Answer:
c
Step-by-step explanation:
Answer:
C.
perpendicular lines intersect in at least two points..
ok im not sure sorry
The area of the shaded region is the square subtract the circle. The radius of the circle is the diameter/2
Area of circle= pi x radius x radius
=3.14 x 5 x 5 = 78.5
Area of the square = side x side
= 10 x 10 = 100
Area of shaded 100 - 78.5 = 21.5
And don’t forget the unit of measurement (meters)
