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:
the triangle
Step-by-step explanation:
The perimeter is the sum of the all sides of the shape.
Triangle:
3√147+2√108+2√48+3√75+ 6√12
147=49•3, 108=36•3, 48=16•3, 75=25•3, 12=4•3 that means
√147=7√3, √108=6√3, √48=4√3, √75=5√3, √12=2√3
perimeter=3•7√3+2•6√3+2•4 √3+3•5√3+6•2√3=68√3
Square:
4•1/3•√63=4/3•√9•√7=4√7
Rectangle:
2•1/4√100+2(2√48+4√75)=
5+2(8√3+20√3)=5+56√3
Now, if you use a calculator, you will find that the greatest perimeter is for the triangle shape.
Answer:
12
Step-by-step explanation:
3 shirts x 2 pants x 2 pair shoes= 12 outfits
Answer:
B. 32%
Step-by-step explanation:
16/50 = 32% lol
goodluck!
Answer:
The 6-minute half-mile time is continuous data; the number of people trying out for the team is discrete data.
Step-by-step explanation:
