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antoniya [11.8K]
3 years ago
5

Which quantity is larger?

Mathematics
2 answers:
Kisachek [45]3 years ago
8 0
Remember
(x^m)^n=x^{mn}
convert to base 10
100^{500}=(10^2)^{500}=10^{1000}
1000^{300}=(10^3)^{300}=10^{900}

10^{1000}\ \textgreater \ 10^{900}

A is larger
xenn [34]3 years ago
6 0
100^500 = (10^2)^500 = 10^(2*500) = 10^1000
1000^300 = (10^3)^300 = 10^(3*300) = 10^900
therefore, 100^500 is greater than 1000^300

answer is letter A
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Zina [86]

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)

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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:

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Now, calculating the value of x, we get

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x = 4000/5

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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.

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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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