Answer:
https://www.mathpapa.com/algebra-calculator.html
Step-by-step explanation:
Mathpapa is a pretty good and reliable algebra calculator would say to use it. It also has Inequalitys and system of equations calculators.
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:
750in
Step-by-step explanation:
The area of a triangle is 1/2bh (half x base x height)
Therefore 1/2 x 60in x 25in = 750in
Answer:
Children = 137
Adults = 215
Step-by-step explanation:
The admission fee at a water park is $12.50 for children
and $25.00 for adults.
On a certain day, 352 people entered the park and the admission fees collected totalled $6,687.50
Let the number of children admitted be x ,
and the number of adults admitted be y.
This forms a simultaneous equation:
x + y = 352 ... (i)
$12.50x + $25.00y = $6,687.50 ... (ii)
Multiplyng (i) by 12.50 and (ii) by 1 we get;
12.5x + 12.5y = 4400 ... (i)
12.5x + 25y = 6,687.5 ... (ii)
Subtracting (ii) - (i) we get;
12.5y = 2687.5
y = 215
So the number of adults admitted = 215
And the number of children admitted = 352 - 215 = 137
-4/10+5/10
=5/10-4/10
=1/10