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:
See the attached graphic
Step-by-step explanation:
1. Defense cards could be identify with <em>x</em> and offense cards with y.
2. Find the proportion:
<em>For every 4 defense cards (y), he owns 2 offense cards (x)</em>
<em>Offense cards (x) Defense cards (y)</em>
<em> 2 4</em>
<em> 3 6</em>
<em> 4 8</em>
If Chad has 4 offense cards, then he owns 8 Defense cards. Note that the proportional relationship between defense cards and offense cards is 2:1. In a mathematical expression:
3. Graph: See the attached graphic. Where y-axis (vertical) represents the defense cards and x-axis (horisontal) represents the offense cards.
Rgds!
<em />
Answer:
2x-3+8v
Step-by-step explanation:
If we subtract the 2 equations we eliminate x:-
x - x - 2y - (-y) = -26--2
-y = -24
y = 24
Plug this into the first equation:-
x - 2(24) = -26
x = -26 + 48 = 22
Answer is x = 22 and y = 24
1) -8 and 3
because -8+3= -5 and -8x3=24
2) -8 and -5
because -8-5=-13 and -8x-5=40
