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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9.95×4=39.80
12.95×2=25.90
15.95×2=31.90
39.80+ 25.90+31.90=97.60
97.60×.18=17.56
97.60+17.56=$115.16 without tax and 18% gratutity
Answer:
Step-by-step explanation:
-5/2 × (3x + 4) < 6x - 3x
-15/2x - 10 < 3x
-15x - 20 < 6x
-15x - 6x < 20
-21x < 20
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Your total after tax is $30.12
A 20% tip is approximately $5.50 ($5.67)
Answer:
D. 76
Step-by-step explanation:
because students that has 5 absences and less most likely to get higher than 75 marks. The student who has 8 absences studied at home, he's a genius
