Let's say each row has x desks and there are y rows.
We then know that x*y =25
We also know that x*2-5=y (number number of rows is five less than twice the number of desks in each row)
So we substitute: x*(x*2-5)=25
putting numbers out of the brackets:
2x*x-5x=25
2x*x-5x-25=0
(2x+5)(x-5)=0 (this bracketing is true: you can check it by expanding it:
2x*x-10x+5x-25
So that means that either x=-2.5which can't be : there can't be a fractional number of benches,
or x=5
so each row has 5 desks and there are 2*5-5 rows, or 5 rows.
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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1 centimeter = 10 milimeters.
Therefore, 8.5 centimeters squared = 85 millimeters squared.
Answer:
48in²
Step-by-step explanation:
to find the area of a triangle you first divide the base by 2 then multiply it by the height
